1. Bachelier model with stopping time and its insurance application
- Author
-
Alexander Melnikov and Anna Glazyrina
- Subjects
040101 forestry ,Statistics and Probability ,Economics and Econometrics ,050208 finance ,Endowment ,Mathematics::History and Overview ,05 social sciences ,04 agricultural and veterinary sciences ,Black–Scholes model ,Mathematical proof ,Valuation of options ,Stopping time ,Life insurance ,0502 economics and business ,Economics ,0401 agriculture, forestry, and fisheries ,Call option ,Statistics, Probability and Uncertainty ,Mathematical economics ,Quantile - Abstract
A modification of a classical Bachelier model by letting a stock price absorb at zero is revisited. Alternative proofs are given to derive option pricing formulas under the modified Bachelier model and numerical comparison with the Black–Scholes formula is provided. Quantile hedging methodology is developed for both classical and modified Bachelier models and application to pricing the pure endowment with fixed guarantee life insurance contracts is demonstrated, both theoretically and by means of a numerical example.
- Published
- 2020