180 results on '"Actuarial science"'
Search Results
2. Joint effects of the liability network and portfolio overlapping on systemic financial risk: contagion and rescue
- Author
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Ying Wu, J. L. Ma, and Shushang Zhu
- Subjects
050208 finance ,Actuarial science ,Mechanism (biology) ,Iterative method ,Financial risk ,05 social sciences ,Liability ,0502 economics and business ,Systemic risk ,Portfolio ,Joint (building) ,Business ,050207 economics ,General Economics, Econometrics and Finance ,Finance - Abstract
We examine the conjoined contagion mechanism of the inter-liability network and portfolio overlapping in shaping systemic financial risk. We first develop an iterative algorithm to compute the larg...
- Published
- 2020
3. Predicting corporate bankruptcy using the framework of Leland-Toft: evidence from U.S
- Author
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Christakis Charalambous, Spiros H. Martzoukos, and Zenon Taoushianis
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050208 finance ,Actuarial science ,Bankruptcy ,Debt ,media_common.quotation_subject ,0502 economics and business ,05 social sciences ,Bankruptcy prediction ,Economics ,050207 economics ,General Economics, Econometrics and Finance ,Finance ,media_common - Abstract
In this paper, we evaluate an alternative approach for bankruptcy prediction that measures the financial healthiness of firms that have coupon-paying debts. The approach is based on the framework of Leland, H. and Toft, K.B. [Optimal capital structure, endogenous bankruptcy and the term structure of credit spreads. J. Financ., 1996, 51, 987–1019], which is an extension of a widely-used model; the Black–Scholes–Merton model. Using U.S. public firms between 1995 and 2014, we show that the Leland-Toft approach is more powerful than Black–Scholes–Merton in a variety of tests. Moreover, extending popular but also contemporary corporate bankruptcy models with the probability of bankruptcy derived from the Leland-Toft model, such as Altman, E. [Financial ratios, discriminant analysis and the prediction of corporate bankruptcy. J. Financ., 1968, 23, 589–609], Ohlson, J.A. [Financial ratios and the probabilistic prediction of bankruptcy. J. Account. Res., 1980, 18, 109–131] and Campbell, J. Y., Hilscher, J. and Szilagyi, J. [In search of distress risk. J. Financ., 2008, 63, 2899–2939], yields models with improved performance. One of our tests, for example, shows that banks using these extended models, achieve superior economic performance relative to other banks. Our results are consistent under a comprehensive out-of-sample framework.
- Published
- 2019
4. American-type basket option pricing: a simple two-dimensional partial differential equation
- Author
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Daniël Linders and Hamza Hanbali
- Subjects
Mathematics, Interdisciplinary Applications ,Computer Science::Computer Science and Game Theory ,COMONOTONICITY ,Economics ,SCHEMES ,BOUNDS ,Social Sciences ,Black–Scholes model ,Type (model theory) ,FINANCE ,Computer Science::Computational Engineering, Finance, and Science ,Simple (abstract algebra) ,Business & Economics ,0502 economics and business ,Applied mathematics ,050207 economics ,Basket options ,Computer Science::Databases ,Black & Scholes ,Mathematics ,Science & Technology ,050208 finance ,Partial differential equation ,Basket option ,Least-Squares Monte-Carlo ,ACTUARIAL SCIENCE ,Computer Science::Information Retrieval ,Comonotonicity ,05 social sciences ,Finite difference method ,Social Sciences, Mathematical Methods ,Business, Finance ,Partial differential equations ,Statistics::Computation ,Physical Sciences ,SIMULATION ,Pricing and hedging ,General Economics, Econometrics and Finance ,Mathematical Methods In Social Sciences ,Finance ,Curse of dimensionality - Abstract
We consider the pricing of American-type basket derivatives by numerically solving a partial differential equation (PDE). The curse of dimensionality inherent in basket derivative pricing is circumvented by using the theory of comonotonicity. We start with deriving a PDE for the European-type comonotonic basket derivative price, together with a unique self-financing hedging strategy. We show how to use the results for the comonotonic market to approximate American-type basket derivative prices for a basket with correlated stocks. Our methodology generates American basket option prices which are in line with the prices obtained via the standard Least-Square Monte-Carlo approach. Moreover, the numerical tests illustrate the performance of the proposed method in terms of computation time, and highlight some deficiencies of the standard LSM method. ispartof: Quantitative Finance vol:19 issue:10 pages:1689-1704 status: published
- Published
- 2019
5. Dynamic credit default swap curves in a network topology
- Author
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Xiu Xu, Cathy Yi-Hsuan Chen, and Wolfgang Karl Härdle
- Subjects
050208 finance ,Credit default swap ,Actuarial science ,business.industry ,05 social sciences ,Computer Science::Artificial Intelligence ,Network topology ,Computer Science::Digital Libraries ,Loss given default ,Credit default swap index ,iTraxx ,0502 economics and business ,Variance decomposition of forecast errors ,050207 economics ,business ,General Economics, Econometrics and Finance ,Finance ,Risk management ,Credit risk - Abstract
Systemically important banks are connected and their default probabilities have dynamic dependencies. An extraction of default factors from cross-sectional credit default swap (CDS) curves allows u...
- Published
- 2019
6. A new mixture cure model under competing risks to score online consumer loans
- Author
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Aidan Kelleher, Nailong Zhang, Wujun Si, and Qingyu Yang
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050208 finance ,Actuarial science ,business.industry ,0502 economics and business ,05 social sciences ,Business ,050207 economics ,Competing risks ,General Economics, Econometrics and Finance ,Finance ,Risk management ,Survival analysis - Abstract
In credit scoring, survival analysis models have been widely applied to answer the question as to whether and when an applicant would default. In this paper, we propose a novel mixture cure proport...
- Published
- 2019
7. Valuing clustering in catastrophe derivatives.
- Author
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Jaimungal, Sebastian and Chong, Yuxiang
- Subjects
- *
MARKOV processes , *MONTE Carlo method , *NUMERICAL integration , *ACTUARIAL science , *LEVY processes , *FINANCIAL engineering - Abstract
The role that clustering in activity and/or severity plays in catastrophe modeling and derivative valuation is a key aspect that has been overlooked in the recent literature. Here, we propose two marked point processes to account for these features. The first approach assumes the points are driven by a stochastic hazard rate modulated by a Markov chain while marks are drawn from a regime-specific distribution. In the second approach, the points are driven by a self-exciting process while marks are drawn from an independent distribution. Within this context, we provide a unified approach to efficiently value catastrophe options—such as those embedded in catastrophe bonds—and show that our results are within the 95% confidence interval computed using Monte Carlo simulations. Our approach is based on deriving the valuation PIDE and utilizes transforms to provide semi-analytical closed-form solutions. This contrasts with most prior works where the valuation formulae require computing several infinite sums together with numerical integration. [ABSTRACT FROM AUTHOR]
- Published
- 2014
- Full Text
- View/download PDF
8. Collective mental accounting: an integrated behavioural portfolio selection model for multiple mental accounts
- Author
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Abbas Seifi, Akbar Esfahanipour, and Omid Momen
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050208 finance ,Actuarial science ,Mental accounting ,0502 economics and business ,05 social sciences ,Portfolio ,050207 economics ,Psychology ,General Economics, Econometrics and Finance ,Finance ,Selection (genetic algorithm) - Abstract
We propose a behavioural portfolio selection model called collective mental accounting (CMA), which integrates all mental sub-portfolios (mental accounts) in one mathematical model. Moreover, this ...
- Published
- 2018
9. Disentangling the role of variance and covariance information in portfolio selection problems
- Author
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André A. P. Santos
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050208 finance ,Actuarial science ,05 social sciences ,Efficient frontier ,Variance (accounting) ,Market risk ,Replicating portfolio ,0502 economics and business ,Econometrics ,Economics ,Portfolio ,Post-modern portfolio theory ,050207 economics ,Portfolio optimization ,General Economics, Econometrics and Finance ,Finance ,Modern portfolio theory - Abstract
The covariation among financial asset returns is often a key ingredient used in the construction of optimal portfolios. Estimating covariances from data, however, is challenging due to the potentia...
- Published
- 2018
10. How does the choice of Value-at-Risk estimator influence asset allocation decisions?
- Author
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Felix Scheller and Benjamin R. Auer
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Focus (computing) ,050208 finance ,Actuarial science ,Financial risk ,05 social sciences ,Estimator ,Asset allocation ,0502 economics and business ,Economics ,Portfolio ,050207 economics ,General Economics, Econometrics and Finance ,Finance ,Value at risk - Abstract
Considering the growing need for managing financial risk, Value-at-Risk (VaR) prediction and portfolio optimisation with a focus on VaR have taken up an important role in banking and finance. Motiv...
- Published
- 2018
11. Combining standard and behavioral portfolio theories: a practical and intuitive approach
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Sebastien Lleo and Alexandre Alles Rodrigues
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010407 polymers ,050208 finance ,Actuarial science ,Mental accounting ,Computer science ,0502 economics and business ,05 social sciences ,Portfolio ,01 natural sciences ,General Economics, Econometrics and Finance ,Finance ,0104 chemical sciences - Abstract
A fully implementable portfolio model combining mental accounting and Black-Litterman to accommodate views on expected returns with multiple attitudes to risk
- Published
- 2017
12. Handbook of Financial Risk Management
- Author
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Allan M. Malz
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Actuarial science ,business.industry ,Financial risk management ,Sociology ,business ,General Economics, Econometrics and Finance ,Finance ,Risk management - Abstract
© 2020, Chapman & Hall/CRC Press The Handbook of Financial Risk Management is an impressively comprehensive survey of risk management models, measurement techniques, and issues. The field of risk m...
- Published
- 2021
13. Choosing the optimal annuitization time post-retirement.
- Author
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Gerrard, Russell, Højgaard, Bjarne, and Vigna, Elena
- Subjects
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ANNUITIES , *RETIREMENT benefits , *CONSUMPTION (Economics) , *STOCHASTIC analysis , *SEQUENTIAL analysis - Abstract
In the context of decision making for retirees of a defined contribution pension scheme in the de-cumulation phase, we formulate and solve a problem of finding the optimal time of annuitization for a retiree having the possibility of choosing her own investment and consumption strategy. We formulate the problem as a combined stochastic control and optimal stopping problem. As criterion for the optimization we select a loss function that penalizes both the deviance of the running consumption rate from a desired consumption rate and the deviance of the final wealth at the time of annuitization from a desired target. We find closed-form solutions for the problem and show the existence of three possible types of solutions depending on the free parameters of the problem. In numerical applications we find the optimal wealth that triggers annuitization, compare it with the desired target and investigate its dependence on both parameters of the financial market and parameters linked to the risk attitude of the retiree. Simulations of the behaviour of the risky asset seem to show that, under typical situations, optimal annuitization should occur a few years after retirement. [ABSTRACT FROM PUBLISHER]
- Published
- 2012
- Full Text
- View/download PDF
14. Hedging default risks of CDOs in Markovian contagion models.
- Author
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Laurent, J.-P., Cousin, A., and Fermanian, J.-D.
- Subjects
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CREDIT risk , *COLLATERALIZED debt obligations , *MARKOV spectrum , *CONTAGION (Social psychology) , *DEFAULT (Finance) , *MARKOV processes , *EQUITY (Law) - Abstract
We describe a replicating strategy of CDO tranches based upon dynamic trading of the corresponding credit default swap index. The aggregate loss follows a homogeneous Markov chain associated with contagion effects. Default intensities depend upon the number of defaults and are calibrated onto an input loss surface. Numerical implementation can be carried out thanks to a recombining tree. We examine how input loss distributions drive the credit deltas. We find that the deltas of the equity tranche are lower than those computed in the standard base correlation framework. This is related to the dynamics of dependence between defaults. [ABSTRACT FROM AUTHOR]
- Published
- 2011
- Full Text
- View/download PDF
15. Long-term strategic asset allocation with inflation risk and regime switching.
- Author
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Siu, Tak Kuen
- Subjects
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ASSET allocation , *INFLATION risk , *ACTUARIAL science , *FIXED interest rates , *MARKOV processes , *PRICE indexes - Abstract
Long-term strategic asset allocation is an important problem in both finance and actuarial science. There are two key issues in long-term strategic asset allocation, namely, the presence of inflation risk and the impact of changes in (macro)-economic conditions on model dynamics. In this article, we take into account the two key issues in our model formulation and develop a quantitative model for long-term strategic asset allocation. A continuous-time, regime-switching market with the presence of inflation risk is considered. There are three tradeable assets in the market, namely, a fixed interest security, an ordinary share and an inflation-linked bond. We assume that the nominal rate of interest on the fixed interest security, the expected rate of return from the ordinary share and the appreciation rate of inflation are modulated by a continuous-time, finite-state, hidden Markov chain. The states of the chain represent different states of an economy. With knowledge about the price of the ordinary share and the price index level, an investor wishes to maximize the expected utility of real terminal wealth. By making use of the separation principle, we solve the optimal portfolio selection problem and the estimation problem independently. We derive a robust estimate of the hidden state of the chain and develop a robust, filter-based, EM algorithm for the on-line recursive estimates of the key model parameters. [ABSTRACT FROM AUTHOR]
- Published
- 2011
- Full Text
- View/download PDF
16. Monitoring systemic risk in the hedge fund sector
- Author
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Frank Hespeler and Giuseppe Loiacono
- Subjects
040101 forestry ,Return distribution ,050208 finance ,Actuarial science ,business.industry ,media_common.quotation_subject ,05 social sciences ,Financial risk management ,04 agricultural and veterinary sciences ,Hedge fund ,Interdependence ,Econometric model ,0502 economics and business ,Systemic risk ,Economics ,0401 agriculture, forestry, and fisheries ,Financial distress ,Alternative beta ,business ,General Economics, Econometrics and Finance ,health care economics and organizations ,Finance ,media_common - Abstract
We propose measures for systemic risk generated through intra-sectorial interdependencies in the hedge fund sector. These measures are based on variations in the average cross-effects of funds showing significant interdependency between their individual returns and the moments of the sector’s return distribution. The proposed measures display a high ability to identify periods of financial distress, are robust to modifications in the underlying econometric model and are consistent with intuitive interpretation of the results.
- Published
- 2017
17. Pricing and hedging guaranteed minimum withdrawal benefits under a general Lévy framework using the COS method
- Author
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Jennifer Alonso-García, Jonathan Ziveyi, and Oliver Wood
- Subjects
Minimisation (psychology) ,Mathematical optimization ,050208 finance ,Actuarial science ,Computer science ,Risk measure ,Computation ,05 social sciences ,Variance (accounting) ,010103 numerical & computational mathematics ,01 natural sciences ,Lévy process ,Dynamic programming ,Variable (computer science) ,Value (economics) ,0502 economics and business ,Shevchenko ,Economics ,Hedge ratio ,Valuation (measure theory) ,0101 mathematics ,General Economics, Econometrics and Finance ,Finance ,Valuation (finance) - Abstract
This paper extends the Fourier-cosine (COS) method to the pricing and hedging of variable annuities embedded with guaranteed minimum withdrawal benefit (GMWB) riders. The COS method facilitates efficient computation of prices and hedge ratios of the GMWB riders when the underlying fund dynamics evolve under the influence of the general class of Levy processes. Formulae are derived to value the contract at each withdrawal date using a backward recursive dynamic programming algorithm. Numerical comparisons are performed with results presented in Bacinello et al. (2014) and Luo and Shevchenko (2014) to confirm the accuracy of the method. The efficiency of the proposed method is assessed by making comparisons with the approach presented in Bacinello et al. (2014). We find that the COS method presents highly accurate results with notably fast computational times. The valuation framework forms the basis for GMWB hedging. A local risk minimisation approach to hedging inter-withdrawal date risks is developed. A variety of risk measures are considered for minimisation in the general Levy framework. While the second moment and variance have been considered in existing literature, we show that the value-at-risk may also be of interest as a risk measure to minimise risk in variable annuities portfolios.
- Published
- 2017
18. Network reconstruction with UK CDS trade repository data
- Author
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Laura Silvestri and William Abel
- Subjects
050208 finance ,Actuarial science ,Degree (graph theory) ,Financial networks ,05 social sciences ,Trade Repository ,Reconstruction method ,0502 economics and business ,Economics ,Derivatives market ,Systemic risk ,050207 economics ,General Economics, Econometrics and Finance ,Finance - Abstract
Despite post-crisis reforms in over-the-counter derivatives markets, regulators are left with incomplete, but still improved, data-sets. This means that methods for reconstructing networks of bilateral exposures from incomplete data are still necessary to conduct a proper assessment of systemic risk. In this paper, we propose a modification of the network reconstruction method developed by Cont and Moussa that includes additional information which is now available to regulators through post-crisis reforms. By making use of a data-set containing all transactions on UK single name CDS contracts, we assess the suitability of the proposed methodology by examining the characteristics of reconstructed and real networks. We find that the proposed methodology allows us to reconstruct networks that both comply with the newly available information, and are as heterogeneous and sparse with fat tailed in- and out- degree distributions as the real ones.
- Published
- 2017
19. Decision-making in incomplete markets with ambiguity—a case study of a gas field acquisition
- Author
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Lin Zhao, Sweder van Wijnbergen, Macro & International Economics (ASE, FEB), and Faculteit Economie en Bedrijfskunde
- Subjects
jel:D81 ,Computer science ,media_common.quotation_subject ,Autoregressive conditional heteroskedasticity ,real options ,time varying volatility and fat tails ,GAS models ,model ambiguity ,decision making in incomplete markets ,utility indifference pricing ,jel:C61 ,jel:G01 ,jel:Q40 ,Incomplete markets ,real options, time varying volatility and fat tails, GAS models, model ambiguity, decision making in incomplete markets, utility indifference pricing ,0502 economics and business ,Econometrics ,Economics ,050207 economics ,Preference (economics) ,media_common ,Geometric Brownian motion ,050208 finance ,Complete market ,Actuarial science ,Monte Carlo methods for option pricing ,05 social sciences ,jel:G31 ,Ambiguity ,jel:G34 ,Valuation of options ,Volatility (finance) ,Rational pricing ,General Economics, Econometrics and Finance ,Finance - Abstract
We apply utility indifference pricing to solve a contingent claim problem, valuing a connected pair of gas fields where the underlying process is not standard Geometric Brownian Motion and the assumption of complete markets is not fulfilled. First, empirical data are often characterized by time-varying volatility and fat tails; therefore, we use Gaussian generalized autoregressive score (GAS) and GARCH models, extending them to Student’s t-GARCH and t-GAS. Second, an important risk (reservoir size) is not hedgeable. As a result, markets are incomplete which makes preference free pricing impossible and thus standard option pricing methodology inapplicable. Therefore, we parametrize the investor’s risk preference and use utility indifference pricing techniques. We use Least Squares Monte Carlo simulations as a dimension reduction technique in solving the resulting stochastic dynamic programming problems. Moreover, an investor often only has an approximate idea of the true probabilistic model underlying variables, making model ambiguity a relevant problem. We show empirically how model ambiguity affects project values, and importantly, how option values change as model ambiguity gets resolved in later phases of the projects. We show that traditional valuation approaches will consistently underestimate the value of project flexibility and in general lead to overly conservative investment decisions in the presence of time-dependent stochastic structures.
- Published
- 2017
20. Measuring the unmeasurable: an application of uncertainty quantification to Treasury bond portfolios
- Author
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Jingnan Chen, Mark D. Flood, and Richard B. Sowers
- Subjects
050208 finance ,Actuarial science ,05 social sciences ,Measure (mathematics) ,Stress test ,0502 economics and business ,Econometrics ,Economics ,Portfolio ,Sensitivity analysis ,Yield curve ,Model risk ,050207 economics ,Uncertainty quantification ,General Economics, Econometrics and Finance ,Finance ,Uncertainty analysis - Abstract
We extract from the yield curve a new measure of fundamental economic uncertainty, based on McDiarmid’s diameter and related methods for optimal uncertainty quantification (OUQ). OUQ seeks analytical bounds on a system’s behaviour, even where aspects of the underlying data-generating process and system response function are not completely known. We use OUQ to stress test a simple fixed-income portfolio, certifying its safety—i.e. that potential losses will be ‘small’ in an appropriate sense. The results give explicit tradeoffs between: scenario count, maximum loss, test horizon, and confidence level. Unfortunately, uncertainty peaks in late 2008, weakening certification assurances just when they are needed most.
- Published
- 2017
21. Analytic option pricing and risk measures under a regime-switching generalized hyperbolic model with an application to equity-linked insurance
- Author
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Chou-Wen Wang, Sharon S. Yang, and Jr-Wei Huang
- Subjects
Stylized fact ,050208 finance ,Actuarial science ,business.industry ,Risk measure ,05 social sciences ,Equity (finance) ,01 natural sciences ,Embedded option ,010104 statistics & probability ,Empirical research ,Valuation of options ,0502 economics and business ,Hyperbolic distribution ,Econometrics ,Economics ,0101 mathematics ,business ,General Economics, Econometrics and Finance ,Finance ,Risk management - Abstract
Option pricing and managing equity linked insurance (ELI) require the proper modeling of stock return dynamics. Due to the long duration nature of equity-linked insurance products, a stock return model must be able to deal simultaneously with the preceding stylized facts and the impact of market structure changes. In response, this article proposes stock return dynamics that combine Levy processes in a regime-switching framework. We focus on a non-Gaussian, generalized hyperbolic distribution. We use the most popular linked equity of ELIs, the S&P 500 index, as an example. The empirical study verifies that the proposed regime-switching generalized hyperbolic (RSGH) model gives the best fit to data. In investigating the effects of stock return modeling on pricing and risk management for financial contracts, we derive the characteristic function, embedded option price, and risk measure of equity-linked insurance analytically. More importantly, we demonstrate that the regime-switching generalized hyperbolic ...
- Published
- 2017
22. Recursive risk measures under regime switching applied to portfolio selection
- Author
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Jia Liu, Zhiping Chen, and Yongchang Hui
- Subjects
Mathematical optimization ,050208 finance ,021103 operations research ,Actuarial science ,Risk measure ,05 social sciences ,0211 other engineering and technologies ,02 engineering and technology ,Dynamic risk measure ,Expected shortfall ,Superhedging price ,Spectral risk measure ,0502 economics and business ,Economics ,Distortion risk measure ,Portfolio ,Portfolio optimization ,General Economics, Econometrics and Finance ,Finance - Abstract
In this paper, we define the conditional risk measure under regime switching and derive a class of time consistent multi-period risk measures. To do so, we describe the information process with regime switching in a product space associated with the product of two filtrations. Moreover, we show how to establish the corresponding multi-stage portfolio selection models using the time consistent multi-period risk measure for medium-term or long-term investments. Take the conditional value-at-risk measure as an example, we demonstrate the resulting multi-stage portfolio selection problem can be transformed into a second-order cone programming problem. Finally, we carry out a series of empirical tests to illustrate the superior performance of the proposed random framework and the corresponding multi-stage portfolio selection model.
- Published
- 2017
23. Optimal portfolio positioning within generalized Johnson distributions
- Author
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Naceur Naguez and Jean-Luc Prigent
- Subjects
050208 finance ,Actuarial science ,business.industry ,Stochastic process ,Gaussian ,05 social sciences ,01 natural sciences ,Hedge fund ,010104 statistics & probability ,symbols.namesake ,Distribution (mathematics) ,Portfolio insurance ,Replicating portfolio ,0502 economics and business ,symbols ,Economics ,Portfolio ,0101 mathematics ,Portfolio optimization ,business ,General Economics, Econometrics and Finance ,Mathematical economics ,Finance - Abstract
Many empirical studies have shown that financial asset returns do not always exhibit Gaussian distributions, for example hedge fund returns. The introduction of the family of Johnson distributions allows a better fit to empirical financial data. Additionally, this class can be extended to a quite general family of distributions by considering all possible regular transformations of the standard Gaussian distribution. In this framework, we consider the portfolio optimal positioning problem, which has been first addressed by Brennan and Solanki [J. Financial Quant. Anal., 1981, 16, 279–300], Leland [J. Finance, 1980, 35, 581–594] and further developed by Carr and Madan [Quant. Finance, 2001, 1, 9–37] and Prigent [Generalized option based portfolio insurance. Working Paper, THEMA, University of Cergy-Pontoise, 2006]. As a by-product, we introduce the notion of Johnson stochastic processes. We determine and analyse the optimal portfolio for log return having Johnson distributions. The solution is char...
- Published
- 2017
24. Credibilistic risk aversion
- Author
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Jian Zhou, Yuanyuan Liu, and Athanasios A. Pantelous
- Subjects
Actuarial science ,Risk aversion ,Risk premium ,05 social sciences ,Probabilistic logic ,02 engineering and technology ,Fuzzy logic ,Credibility theory ,Order (exchange) ,0502 economics and business ,0202 electrical engineering, electronic engineering, information engineering ,Economics ,Probability distribution ,020201 artificial intelligence & image processing ,General Economics, Econometrics and Finance ,Random variable ,Finance ,050205 econometrics - Abstract
In the probabilistic risk aversion approach, risks are presumed as random variables with known probability distributions. However, in some practical cases, for example, due to the absence of historical data, the inherent uncertain characteristic of risks or different subject judgements from the decision-makers, risks may be hard or not appropriate to be estimated with probability distributions. Therefore, the traditional probabilistic risk aversion theory is ineffective. Thus, in order to deal with these cases, we suggest measuring these kinds of risks as fuzzy variables, and accordingly to present an alternative risk aversion approach by employing credibility theory. In the present paper, first, the definition of credibilistic risk premium proposed by Georgescu and Kinnunen [Fuzzy Inf. Eng., 2013, 5, 399–416] is revised by taking the initial wealth into consideration, and then a general method to compute the credibilistic risk premium is provided. Secondly, regarding the risks represented with th...
- Published
- 2017
25. Binary switch portfolio
- Author
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Tengfei Li, Kani Chen, Yang Feng, and Zhiliang Ying
- Subjects
Mathematical optimization ,050208 finance ,Actuarial science ,05 social sciences ,02 engineering and technology ,Black–Litterman model ,Replicating portfolio ,0502 economics and business ,0202 electrical engineering, electronic engineering, information engineering ,Economics ,Portfolio ,020201 artificial intelligence & image processing ,Roy's safety-first criterion ,Post-modern portfolio theory ,Portfolio optimization ,General Economics, Econometrics and Finance ,Finance ,Modern portfolio theory ,Separation property - Abstract
We propose herein a new portfolio selection method that switches between two distinct asset allocation strategies. An important component is a carefully designed adaptive switching rule, which is based on a machine learning algorithm. It is shown that using this adaptive switching strategy, the combined wealth of the new approach is a weighted average of that of the successive constant rebalanced portfolio and that of the 1/N portfolio. In particular, it is asymptotically superior to the 1/N portfolio under mild conditions in the long run. Applications to real data show that both the returns and the Sharpe ratios of the proposed binary switch portfolio are the best among several popular competing methods over varying time horizons and stock pools.
- Published
- 2016
26. Modelling and pricing of catastrophe risk bonds with a temperature-based agricultural application
- Author
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N. Karagiannis, Athanasios A. Pantelous, Calum G. Turvey, and Hirbod Assa
- Subjects
Financial economics ,media_common.quotation_subject ,Risk premium ,Economics, Econometrics and Finance(all) ,01 natural sciences ,Hedge fund ,Insurance ,010104 statistics & probability ,Catastrophe bond ,Order (exchange) ,Insurance policy ,0502 economics and business ,Economics ,Agricultural catastrophes ,0101 mathematics ,media_common ,050208 finance ,Actuarial science ,business.industry ,Bond ,05 social sciences ,Payment ,Over the counter (OTC) ,Utility indifference pricing method ,Catastrophe risk bonds ,Portfolio ,business ,General Economics, Econometrics and Finance ,Finance - Abstract
Catastrophe risk bonds are always within a multi-asset class portfolio of alternative risk premia in many hedge funds. In this paper, we consider an over-the-counter insurance contract on catastrophe risk between an insurance company and a hedge-fund. The contract acts as a bond within which the insurance company, which issues the bond, pays payments higher than the market risk-free interest, in order to be insured against the risk of a predefined natural catastrophe. The contract is priced by the utility indifference pricing method. We apply our framework to price agricultural catastrophe bonds in two cities in Iran where their harvests are exposed to the risk of low temperature.
- Published
- 2016
27. The 4% strategy revisited: a pre-commitment mean-variance optimal approach to wealth management
- Author
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Duy-Minh Dang, Peter Forsyth, and Kenneth R. Vetzal
- Subjects
Pension ,050208 finance ,Actuarial science ,Risk measure ,05 social sciences ,Financial plan ,Investment (macroeconomics) ,01 natural sciences ,Rate of return on a portfolio ,010104 statistics & probability ,Replicating portfolio ,0502 economics and business ,Economics ,Portfolio ,0101 mathematics ,Portfolio optimization ,General Economics, Econometrics and Finance ,Finance - Abstract
In contrast to single-period mean-variance (MV) portfolio allocation, multi-period MV optimal portfolio allocation can be modified slightly to be effectively a down-side risk measure. With this in mind, we consider multi-period MV optimal portfolio allocation in the presence of periodic withdrawals. The investment portfolio can be allocated between a risk-free investment and a risky asset, the price of which is assumed to follow a jump diffusion process. We consider two wealth management applications: optimal de-accumulation rates for a defined contribution pension plan and sustainable withdrawal rates for an endowment. Several numerical illustrations are provided, with some interesting implications. In the pension de-accumulation context, Bengen (1994)’s [J. Financial Planning, 1994, 7, 171–180], historical analysis indicated that a retiree could safely withdraw 4% of her initial retirement savings annually (in real terms), provided that her portfolio maintained an even balance between diversified equiti...
- Published
- 2016
28. Risk-based capital for credit insurers with business cycles and dynamic leverage
- Author
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Ernest Tafolong and Issouf Soumaré
- Subjects
040101 forestry ,050208 finance ,Actuarial science ,Leverage (finance) ,Markov chain ,media_common.quotation_subject ,Economic capital ,05 social sciences ,04 agricultural and veterinary sciences ,Recession ,Capital allocation line ,0502 economics and business ,Economics ,Business cycle ,0401 agriculture, forestry, and fisheries ,Credit insurance ,General Economics, Econometrics and Finance ,Finance ,media_common - Abstract
This paper develops a risk-based capital pricing model for credit insurance portfolios held by a vulnerable insurer. The model accounts for business cycles using a two-state Markov switching model, and allows for dynamic leverage adjustment by the insured firms. The new proposed model, which incorporates risk-based capital practice, is better for both the insurer and the insured firms. Based on the risk-adjusted performance metric, we found that the insurer is better off insuring short- and medium-term loans in expansion and steady states, while it is better off backing both short- and long-term loans in recessions. Our results also emphasize that macroeconomic uncertainty significantly impairs the creditworthiness of the insurer and insured firms.
- Published
- 2016
29. Optimal portfolios with downside risk
- Author
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Zinoviy Landsman, Jing Yao, Fima C. Klebaner, and Udi Makov
- Subjects
050208 finance ,021103 operations research ,Actuarial science ,0502 economics and business ,05 social sciences ,0211 other engineering and technologies ,Downside risk ,Economics ,02 engineering and technology ,Beta (finance) ,General Economics, Econometrics and Finance ,Finance ,Modern portfolio theory - Abstract
Markowitz optimal portfolio theory (Markowitz 1987), also known as the Mean-Variance theory, has had a tremendous impact and hundreds of papers are devoted to this topic. This theory addresses the ...
- Published
- 2016
30. Prospect theory–based portfolio optimization: an empirical study and analysis using intelligent algorithms
- Author
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Cormac Lucas, P. Date, and N. Grishina
- Subjects
050208 finance ,Actuarial science ,portfolio optimisation ,index tracking ,Risk aversion ,05 social sciences ,behavioural nuance ,prospect theory ,Black–Litterman model ,risk modelling ,Empirical research ,Prospect theory ,Loss aversion ,0502 economics and business ,Economics ,Econometrics ,Portfolio ,Post-modern portfolio theory ,050207 economics ,Portfolio optimization ,General Economics, Econometrics and Finance ,Finance - Abstract
The behaviourally based portfolio selection problem with investor’s loss aversion and risk aversion biases in portfolio choice under uncertainty is studied. The main results of this work are: developed heuristic approaches for the prospect theory model proposed by Kahneman and Tversky in 1979 as well as an empirical comparative analysis of this model and the index tracking model. The crucial assumption is that behavioural features of the prospect theory model provide better downside protection than traditional approaches to the portfolio selection problem. In this research the large-scale computational results for the prospect theory model have been obtained for real financial market data with up to 225 assets. Previously, as far as we are aware, only small laboratory tests (2–3 artificial assets) have been presented in the literature. In order to investigate empirically the performance of the behaviourally based model, a differential evolution algorithm and a genetic algorithm which are capable of dealin...
- Published
- 2016
31. Systemic risk in the European sovereign and banking system
- Author
-
Catherine S. Forbes, Francis Haeuck In, Simon Xu, and Inchang Hwang
- Subjects
050208 finance ,Actuarial science ,Sovereign default ,Financial risk ,Risk premium ,05 social sciences ,Financial risk management ,0502 economics and business ,Systemic risk ,Default ,Business ,Tail risk ,050207 economics ,General Economics, Econometrics and Finance ,Finance ,Credit risk - Abstract
We investigate the systemic risk of the European sovereign and banking system during 2008–2013. We utilize a conditional measure of systemic risk that reflects market perceptions and can be intuitively interpreted as an entity’s conditional joint probability of default, given the hypothetical default of other entities. The measure of systemic risk is applicable to high dimensions and not only incorporates individual default risk characteristics but also captures the underlying interdependent relations between sovereigns and banks in a multivariate setting. In empirical applications, our results reveal significant time variation in systemic risk spillover effects for the sovereign and banking system. We find that systemic risk is mainly driven by risk premiums coupled with a steady increase in physical default risk.
- Published
- 2016
32. Risk based capital for guaranteed minimum withdrawal benefit
- Author
-
Jan Vecer and Runhuan Feng
- Subjects
Management fee ,050208 finance ,Actuarial science ,business.industry ,media_common.quotation_subject ,05 social sciences ,Stochastic game ,Financial market ,Barrier option ,Payment ,0502 economics and business ,Economics ,Asian option ,050207 economics ,business ,General Economics, Econometrics and Finance ,Finance ,Risk management ,media_common ,Valuation (finance) - Abstract
The guaranteed minimum withdrawal benefit (GMWB), which is sold as a rider to variable annuity contracts, guarantees the return of total purchase payment regardless of the performance of the underlying investment funds. The valuation of GMWB has been extensively covered in the previous literature, but a more challenging problem is the computation of the risk based capital for risk management and regulatory reasons. One needs to find the tail distribution of the profit–loss function, which differs from its expected payoff required for pricing the GMWB contract. GMWB has embedded two option-like features: Management fees are proportional to the current value of the policyholder’s account which results in an average price of the account. Thus the contract resembles an Asian option. However, the fees are charged only up to the time of the account hitting zero which resembles a barrier option payoff. Thus the GMWB is mathematically more complicated than Asian or barrier options traded on the financial markets....
- Published
- 2016
33. From insurance risk to credit portfolio management: a new approach to pricing CDOs
- Author
-
Graziella Pacelli, Luca Vincenzo Ballestra, Alessandro Andreoli, Andreoli, Alessandro, Ballestra, Luca Vincenzo, and Pacelli, Graziella
- Subjects
Finite difference ,Incomplete market ,CDO ,050208 finance ,Actuarial science ,Sharpe ratio ,Collateralized debt obligation ,05 social sciences ,Life annuity ,Economics, Econometrics and Finance (all)2001 Economics, Econometrics and Finance (miscellaneous) ,Bid–ask spread ,Incomplete markets ,Life insurance ,0502 economics and business ,Technical report ,Economics ,Bid-ask spread ,050207 economics ,General Economics, Econometrics and Finance ,Finance ,Valuation (finance) - Abstract
We present a new approach for pricing collateralized debt obligations (CDOs) which takes into account the issue of the market incompleteness. In particular, we develop a suitable extension of the actuarial framework proposed by Bayraktar et al. [Valuation of mortality risk via the instantaneous Sharpe ratio: Applications to life annuities. J. Econ. Dyn. Control, 2009, 33, 676–691], Milevsky et al. [Financial valuation of mortality risk via the instantaneous Sharpe-ratio: Applications to pricing pure endowments. Working Paper, 2007. Available at: http://arxiv.org/abs/0705.1302], Young [Pricing life insurance under stochastic mortality via the instantaneous Sharpe ratio: Theorems and proofs. Technical Report, 2007. Available at: http://arxiv.org/abs/0705.1297] and Young [Pricing life insurance under stochastic mortality via the instantaneous Sharpe ratio. Insurance: Math. Econ., 2008, 42, 691–703], which is based on the so-called instantaneous Sharpe ratio. Such a procedure allows us to incorporate the attitude of investors towards risk in a direct and rational way and, in addition, is also suitable for dealing with the often illiquid CDO market. Numerical experiments are presented which reveal that the market incompleteness can have a strong effect on the pricing of CDOs, and allows us to explain the high bid-ask spreads that are frequently observed in the markets.
- Published
- 2016
34. Beyond CAPM: estimating the cost of equity considering idiosyncratic risks
- Author
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Laghi, E., Di Marcantonio, M., and DI MARCANTONIO, Michele
- Subjects
CAPM ,cost of capital ,cost of equity ,firm valuation ,idiosyncratic risks ,specific risks ,050208 finance ,Standard formula ,Actuarial science ,05 social sciences ,Cost of equity ,Expected value ,Econometric model ,Cost of capital ,0502 economics and business ,Systematic risk ,Economics ,Capital asset pricing model ,050207 economics ,Volatility (finance) ,General Economics, Econometrics and Finance ,Finance - Abstract
The present study proposes a new evaluation approach aimed at estimating the cost of equity through standardized models which consider an innovative set of firm-specific information on the main unsystematic risks which are typical of any business. Our objective is extending the Capital Asset Pricing Model (CAPM) by defining a standard formula for quantifying the premium for certain idiosyncratic risks as a function of a new set of firm-specific quantitative information. We define two econometric models, for listed and non-listed firms respectively, which consider five idiosyncratic risk factors: firm size, value factor, operating risks, financial structure and stock market price volatility. The models were tested on a sample of European non-financial companies. The empirical results show that while the CAPM systematically underestimates the cost of equity, the proposed models correctly estimate its expected value; furthermore, they show a slight improvement also in terms of estimates’ volatility. Due to t...
- Published
- 2016
35. When do jumps matter for portfolio optimization?
- Author
-
Nicole Branger, Marius Ascheberg, Holger Kraft, and Frank Thomas Seifried
- Subjects
State variable ,Actuarial science ,050208 finance ,Stochastic volatility ,05 social sciences ,0502 economics and business ,Economics ,Jump ,Applied mathematics ,Affine transformation ,050207 economics ,Portfolio optimization ,Diffusion (business) ,General Economics, Econometrics and Finance ,Finance ,Expected utility hypothesis ,Intensity (heat transfer) ,Mathematics - Abstract
We consider the continuous-time portfolio optimization problem of an investor with constant relative risk aversion who maximizes expected utility of terminal wealth. The risky asset follows a jump-diffusion model with a diffusion state variable. We propose an approximation method that replaces the jumps by a diffusion and solve the resulting problem analytically. Furthermore, we provide explicit bounds on the true optimal strategy and the relative wealth equivalent loss that do not rely on quantities known only in the true model. We apply our method to a calibrated affine model. Our findings are threefold: Jumps matter more, i.e. our approximation is less accurate, if (i) the expected jump size or (ii) the jump intensity is large. Fixing the average impact of jumps, we find that (iii) rare, but severe jumps matter more than frequent, but small jumps.
- Published
- 2016
36. A uniformly distributed random portfolio
- Author
-
Yongjae Lee and Woo Chang Kim
- Subjects
Mathematical optimization ,050208 finance ,Actuarial science ,Distribution (number theory) ,Computer science ,Sharpe ratio ,05 social sciences ,Mathematics::Optimization and Control ,Equity (finance) ,Statistics::Other Statistics ,Ranking ,Computer Science::Computational Engineering, Finance, and Science ,0502 economics and business ,Benchmark (computing) ,Economics ,Econometrics ,Portfolio ,Probability distribution ,Post-modern portfolio theory ,Closed-form expression ,050207 economics ,Portfolio optimization ,General Economics, Econometrics and Finance ,Finance ,Modern portfolio theory - Abstract
In this study, we propose a uniformly distributed random portfolio as an alternative benchmark for portfolio performance evaluation. The uniformly distributed random portfolio is analogous to an enumeration of all feasible portfolios without any prior on the market. Therefore, the relative ranking of a portfolio can be evaluated without peer group information. We derive a closed-form expression for the probability distribution of the Sharpe ratio of a uniformly distributed random portfolio, and conduct comparative analysis with US equity mutual funds. We find that the uniformly distributed random portfolio properly captures the historical performance distribution of equity mutual funds. In addition, we evaluate performance of cap-weighted equity portfolios via uniformly distributed random portfolios.
- Published
- 2016
37. Option Valuation under Stochastic Volatility II: With Mathematica Code
- Author
-
David Pottinton
- Subjects
Actuarial science ,Stochastic volatility ,Valuation of options ,Code (cryptography) ,Jump ,Economics ,Implied volatility ,SABR volatility model ,General Economics, Econometrics and Finance ,Mathematical economics ,Finance - Abstract
In his second volume on stochastic volatility and option pricing, Alan Lewis extends his previous work with a particular focus on jump modelling. The Heston or Feller 3/2 models are frequently rewo...
- Published
- 2017
38. The Economic Foundations of Risk Management
- Author
-
Natalie Packham
- Subjects
Actuarial science ,business.industry ,Business ,General Economics, Econometrics and Finance ,Finance ,Risk management - Published
- 2019
39. Rational multi-curve models with counterparty-risk valuation adjustments
- Author
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Andrea Macrina, Tuyet Mai Nguyen, Stéphane Crépey, and David Skovmand
- Subjects
Libor ,Markov process ,Rational asset pricing models ,01 natural sciences ,FOS: Economics and business ,010104 statistics & probability ,symbols.namesake ,Basis swap ,0502 economics and business ,Econometrics ,Economics ,0101 mathematics ,Counterparty-risk ,Valuation (finance) ,Probability measure ,LIBOR ,Multi-curve interest rate term structure models ,050208 finance ,Actuarial science ,05 social sciences ,Mathematical Finance (q-fin.MF) ,Markov functionals ,Risk management ,Quantitative Finance - Mathematical Finance ,Calibration ,symbols ,Rational pricing ,Credit valuation adjustment ,General Economics, Econometrics and Finance ,Finance ,Credit risk - Abstract
We develop a multi-curve term structure setup in which the modelling ingredients are expressed by rational functionals of Markov processes. We calibrate to LIBOR swaptions data and show that a rational two-factor lognormal multi-curve model is sufficient to match market data with accuracy. We elucidate the relationship between the models developed and calibrated under a risk-neutral measure Q and their consistent equivalence class under the real-world probability measure P. The consistent P-pricing models are applied to compute the risk exposures which may be required to comply with regulatory obligations. In order to compute counterparty-risk valuation adjustments, such as CVA, we show how positive default intensity processes with rational form can be derived. We flesh out our study by applying the results to a basis swap contract., 34 pages, 9 figures
- Published
- 2015
40. Partial hedging and cash requirements in discrete time
- Author
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Erdinc Akyildirim, Albert Altarovici, University of Zurich, and Akyildirim, Erdinc
- Subjects
2000 General Economics, Econometrics and Finance ,Stochastic control ,Mathematical optimization ,050208 finance ,021103 operations research ,Actuarial science ,media_common.quotation_subject ,05 social sciences ,0211 other engineering and technologies ,Exotic option ,02 engineering and technology ,10003 Department of Banking and Finance ,330 Economics ,Dynamic programming ,Expected shortfall ,Discrete time and continuous time ,2003 Finance ,Cash ,0502 economics and business ,Economics ,Portfolio ,General Economics, Econometrics and Finance ,Finance ,media_common ,Quantile - Abstract
This paper develops a discrete time version of the continuous time model of Bouchard et al. [J. Control Optim., 2009, 48, 3123–3150], for the problem of finding the minimal initial data for a controlled process to guarantee reaching a controlled target with probability one. An efficient numerical algorithm, based on dynamic programming, is proposed for the quantile hedging of standard call and put options, exotic options and quantile hedging with portfolio constraints. The method is then extended to solve utility indifference pricing, good-deal bounds and expected shortfall problems.
- Published
- 2015
41. Data-driven methods for equity similarity prediction
- Author
-
John Robert Yaros and Tomasz Imielinski
- Subjects
Relative valuation ,Industry classification ,Actuarial science ,business.industry ,Equity (finance) ,Diversification (finance) ,Financial ratio ,Data-driven ,Predictive power ,Economics ,business ,General Economics, Econometrics and Finance ,Finance ,Risk management - Abstract
Many applications rely on the accurate prediction of company similarity to be effective. Diversification avoids similarity for risk reduction. Hedging through equity-neutral investing seeks similarity in order to ensure risk in long positions is effectively offset by short positions, and vice-versa. Relative valuation requires formation of a ‘peer group’ to which financial ratios, such as the P/E ratio, can be compared. This article considers two data-sets that have not traditionally been used for this purpose: sell-side equity analyst coverage and news article co-occurrences. Each is shown to have predictive power over future correlation, a key measure of future similarity. It is further shown that the analyst and news data can be combined with historical correlation to form groups that are on par or even exceed the quality of the Global Industry Classification System, a leading industry taxonomy.
- Published
- 2015
42. Performance ratio-based coherent risk measure and its application
- Author
-
Ruiyue Lin, Zhiping Chen, and Qianhui Hu
- Subjects
Deviation risk measure ,050208 finance ,021103 operations research ,Actuarial science ,05 social sciences ,0211 other engineering and technologies ,02 engineering and technology ,Entropic value at risk ,Dynamic risk measure ,Expected shortfall ,Spectral risk measure ,0502 economics and business ,Coherent risk measure ,Econometrics ,Economics ,Distortion risk measure ,Portfolio optimization ,General Economics, Econometrics and Finance ,Finance - Abstract
Utilizing a specific acceptance set, we propose in this paper a general method to construct coherent risk measures called the generalized shortfall risk measure. Besides some existing coherent risk measures, several new types of coherent risk measures can be generated. We investigate the generalized shortfall risk measure’s desirable properties such as consistency with second-order stochastic dominance. By combining the performance evaluation with the risk control, we study in particular the performance ratio-based coherent risk (PRCR) measures, which is a sub-class of generalized shortfall risk measures. The PRCR measures are tractable and have a suitable financial interpretation. Based on the PRCR measure, we establish a portfolio selection model with transaction costs. Empirical results show that the optimal portfolio obtained under the PRCR measure performs much better than the corresponding optimal portfolio obtained under the higher moment coherent risk measure.
- Published
- 2015
43. Optimal hedging in an extended binomial market under transaction costs
- Author
-
L.M. Kimball, Victoria Steblovskaya, and Norman Josephy
- Subjects
Transaction cost ,Actuarial science ,Binomial (polynomial) ,010102 general mathematics ,Financial market ,Interval (mathematics) ,01 natural sciences ,010104 statistics & probability ,Discrete time and continuous time ,Bounded function ,Economics ,Econometrics ,Position (finance) ,0101 mathematics ,Hedge (finance) ,General Economics, Econometrics and Finance ,Finance - Abstract
We develop an approach to optimal hedging of a contingent claim under proportional transaction costs in a discrete time financial market model which extends the binomial market model with transaction costs. Our model relaxes the binomial assumption on the stock price ratios to the case where the stock price ratio distribution has bounded support. Non-self-financing hedging strategies are studied to construct an optimal hedge for an investor who takes a short position in a European contingent claim settled by delivery. We develop the theoretical basis for our optimal hedging approach, extending results obtained in our previous work. Specifically, we derive a no-arbitrage option price interval and establish properties of the non-self-financing strategies and their residuals. Based on the theoretical foundation, we develop a computational algorithm for optimizing an investor relevant criterion over the set of admissible non-self-financing hedging strategies. We demonstrate the applicability of our approach u...
- Published
- 2015
44. Minimizing CVaR in global dynamic hedging with transaction costs
- Author
-
Frédéric Godin
- Subjects
050208 finance ,Actuarial science ,CVAR ,05 social sciences ,Tail value at risk ,Expected shortfall ,Replicating portfolio ,0502 economics and business ,Coherent risk measure ,Econometrics ,Economics ,Tail risk ,050207 economics ,General Economics, Econometrics and Finance ,Futures contract ,Finance ,Expected utility hypothesis - Abstract
This study develops a global derivatives hedging methodology which takes into account the presence of transaction costs. It extends the Hodges and Neuberger [Rev. Futures Markets, 1989, 8, 222–239] framework in two ways. First, to reduce the occurrence of extreme losses, the expected utility is replaced by the conditional Value-at-Risk (CVaR) coherent risk measure as the objective function. Second, the normality assumption for the underlying asset returns is relaxed: general distributions are considered to improve the realism of the model and to be consistent with fat tails observed empirically. Dynamic programming is used to solve the hedging problem. The CVaR minimization objective is shown to be part of a time-consistent framework. Simulations with parameters estimated from the S&P 500 financial time series show the superiority of the proposed hedging method over multiple benchmarks from the literature in terms of tail risk reduction.
- Published
- 2015
45. Multiperiod conditional valuation of barrier options with incomplete information
- Author
-
Stoyan Valchev, Frank J. Fabozzi, and Radu Tunaru
- Subjects
Actuarial science ,business.industry ,Computer science ,Economic capital ,Economic risk ,Complete information ,Valuation of options ,Econometrics ,Foreign exchange ,business ,General Economics, Econometrics and Finance ,Finance ,Risk management ,Credit risk ,Valuation (finance) - Abstract
In this paper, we provide analytical valuation results for barrier options with three different types of information: continuous observations of the underlying asset value, delayed continuous observations and multiple discrete observations. Market, counterparty credit risk management and economic risk capital implications of the valuations with incomplete information are also discussed. We obtain precise analytical solutions using all the information generated by the previous discrete observations of the underlying asset, generated in a consistent fashion by path-dependent simulation. Our results have far-reaching implications for economic capital charges on path-dependent derivatives. We demonstrate that using non-conditional valuation mis-estimates the credit charges on the barrier options with respect to the precise credit charges computed with valuations conditional on the actual available information. The rest of this paper is organized as follows. Section 2 describes the classical case with full, continuous information about the underlying asset. Section 3 deals with the case of delayed continuous information. Section 4 investigates the case of discrete observations at multiple discrete times. Section 5 offers explicit closed-form solutions for the main types of single-barrier options with discrete information and parity results. Section 6 provides valuation results for double-barrier options. Section 7 presents risk management applications for foreign exchange (FX) barrier options, while section 8 concludes our paper.
- Published
- 2015
46. Portfolio credit risk with predetermined default orders
- Author
-
Kai-Nan Xiang, Bin Wang, and Lian Tang
- Subjects
050208 finance ,021103 operations research ,Actuarial science ,05 social sciences ,0211 other engineering and technologies ,Process (computing) ,02 engineering and technology ,Computer Science::Artificial Intelligence ,Portfolio credit risk ,Simple (abstract algebra) ,Order (exchange) ,0502 economics and business ,Econometrics ,Economics ,Matrix exponential ,General Economics, Econometrics and Finance ,Computer Science::Databases ,Finance - Abstract
Portfolio credit risk models can be distinguished by the use of a top-down approach or a bottom-up one. The main difference between these two approaches is the information of default identities. In this paper, we propose a conditional top-down approach which models the default times with a predetermined default order of identities. Thus conditioned on the default order, the default times of a bottom-up model can be constructed simply using a top-down approach. We use the tool of assumptions to separate the information of default orders from the ordered default times. The predetermined assumption (a special assumption) introduced here allows that the construction of the loss process relates to a probability on permutations. We can derive the probabilities on default orders from the known bottom-up models satisfying the predetermined assumption (e.g. Jarrow-Yu’s contagion model), and obtain new choices of probability on default orders based on some simple and interesting indices of permutations such as the ...
- Published
- 2015
47. Financial Modeling, Actuarial Valuation and Solvency in Insurance
- Author
-
J. Bohn
- Subjects
Solvency ,Actuarial science ,Solvency ratio ,Financial economics ,Economics ,Financial modeling ,Statutory reserve ,Actuarial reserves ,General Economics, Econometrics and Finance ,Finance ,Valuation (finance) - Abstract
The proliferation of books and articles describing quantitative financial models from a theoretical perspective creates a niche for authors like Mario Wuthrich and Michael Merz (WM) to explain a su...
- Published
- 2015
48. Option overlay strategies
- Author
-
Yazid M. Sharaiha and Dilip B. Madan
- Subjects
Actuarial science ,Monotone polygon ,Index (economics) ,Econometrics ,Economics ,Portfolio ,Overlay ,Bid price ,General Economics, Econometrics and Finance ,Maturity (finance) ,Constraint (mathematics) ,Finance ,Risk neutral - Abstract
Option overlays on a rebalanced portfolio are designed. Inputs to the design problem are the physical and risk neutral probabilities at the option maturity. They are estimated from time series and option data, respectively. The objective for the design is the bid price of a two price economy modelled as a distorted expectation. The design is monotone increasing in the underlier with a delta constraint. The option positioning is implemented on the S&P 500 index, supposedly rebalanced every 21 days with option positions taken 10 days prior to a rebalance date with a maturity near two months. Option overlays are seen to raise performance measures and reduce drawdowns.
- Published
- 2015
49. A factor contagion model for portfolio credit derivatives
- Author
-
Geon Ho Choe, Soon Won Kwon, and Hyun Jin Jang
- Subjects
Actuarial science ,Recovery rate ,Collateralized debt obligation ,Test efficiency ,Econometrics ,Economics ,Time distribution ,Portfolio ,Credit derivative ,General Economics, Econometrics and Finance ,Finance ,Copula (probability theory) - Abstract
We propose a factor contagion model with the Marshall–Olkin copula for correlated default times and develop an analytic approach for finding the th default time distribution based on our model. We combine a factor copula model with a contagion model under the assumption that the individual default intensities follow contagion processes, and that the default times have a dependence structure with the Marshall–Olkin copula. Then, we derive an analytic formula for the th default time distribution and apply it to compute the price of portfolio credit derivatives, such as th-to-default swaps and single-tranche CDOs. To test efficiency and accuracy of our formula, we compare the theoretical prediction with existing methods.
- Published
- 2014
50. Hedge fund replication with a genetic algorithm: breeding a usable mousetrap
- Author
-
Jiri Tresl and Brian C. Payne
- Subjects
Index (economics) ,Actuarial science ,Computer science ,business.industry ,Bond ,education ,Hedge fund replication ,Returns-based style analysis ,Hedge fund ,Replication (computing) ,Replicating portfolio ,Alternative beta ,business ,General Economics, Econometrics and Finance ,health care economics and organizations ,Finance - Abstract
This study tests the performance of 14 hedge fund index clones created using parsimonious out-of-sample replication portfolios consisting solely of easily accessible assets. We employ a genetic algorithm to integrate two traditional hedge fund replication methods, the factor-based and pay-off distribution replication methods, and evaluate over 4500 commonly held stocks, bonds and mutual funds as replicating portfolio components. In-sample performance indicates that hedge funds have return series similar to portfolios of commonly held assets, and out-of-sample results provide evidence that the in-sample relationships can hold with infrequent rebalancing. This hedge fund replication attempt rates well relatively to prior efforts as 11 replicating portfolios have out-of-sample correlation values of at least 60%. Overall, these results show promise for using a genetic algorithm technique to replicate hedge fund returns.
- Published
- 2014
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