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 58
人大 A+FT50UTD24ABS 4*

中文导读

在布莱克-舒尔斯模型条件下,推导出期权在有限持有期内的预期收益率公式,发现预期未来值等于当前布莱克-舒尔斯值,仅需替换股票和行权价的未来值。

Abstract

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.

期权预期收益率有限持有期欧式期权