Assessment of the Profitability of a Revenue Investment with Random Times between Uniform Successive Returns

Investments with random cash flow streams are much closer to describe the real financial environment of a revenue generating investment than constant cash flow streams .A cash flow stream is considered under risk if at least one of its parameters is a random variable with a given probability distribution. Many models of random cash flows were investigated by researchers. However, this study aims to survey the economic worth of cash flows with random time between equal returns on the initial investment. This study develops criteria for the profitability based on the rate of return of the expected net present worth, and make comparisons to the expected rate of return based on simulations. The concept of moment generating functions of random variables is employed to get the analytic forms of the expectations. This study also considers many possible distributions for the random separating time between returns and supply a sufficient number of numerical examples. The findings show that this financial model applies to apartment buildings, condominiums, shopping malls, and the management of inventory stocks of expensive items.