有限持有期内期权预期收益率的简单公式

A Simple Formula for the Expected Rate of Return of an Option over a Finite Holding Period

Journal of Finance · 1984
被引 12
人大 A+FT50UTD24ABS 4*

中文导读

在Black-Scholes模型条件下,推导出期权在有限持有期(可能短于到期日)内的预期收益率公式,并用于近似期权组合收益分布的矩。

Abstract

Under conditions consistent with the Black-Scholes formula, a simple formula is developed for the expected rate of return of an option over a finite holding period possibly less than the time to expiration of the option. Under these conditions, surprisingly, the expected future value of a European option, even prior to expiration, is shown equal to the current Black-Scholes value of the option, except that the expected future value of the stock at the end of the holding period replaces the current stock price in the Black-Scholes formula and the future value of a riskless invesment of the striking price replaces the striking price. An extension of this result is used to approximate moments of the distribution of returns from an option portfolio.

期权期望收益率有限持有期欧式期权