Derivative Assets Analysis

1987 ◽  
Vol 1 (2) ◽  
pp. 73-93 ◽  
Author(s):  
Mark Rubinstein

Derivative assets analysis enjoys an unusual status; it is a recently developed, relatively complex tool of economic analysis, faithful to the core of economic theory, and widely used to make reallife decisions. This paper, discusses derivative assets based on buy-and-hold strategies; derivative assets based on dynamic replicating strategies; valuing and replicating other derivative assets; and the Black-Scholes option pricing formula. Then it takes a detailed look at four applications: index futures, equity options, index options, and portfolio insurance.

2021 ◽  
Vol 63 (2) ◽  
pp. 178-202
Author(s):  
P. NONSOONG ◽  
K. MEKCHAY ◽  
S. RUJIVAN

AbstractWe present an analytical option pricing formula for the European options, in which the price dynamics of a risky asset follows a mean-reverting process with a time-dependent parameter. The process can be adapted to describe a seasonal variation in price such as in agricultural commodity markets. An analytical solution is derived based on the solution of a partial differential equation, which shows that a European option price can be decomposed into two terms: the payoff of the option at the initial time and the time-integral over the lifetime of the option driven by a time-dependent parameter. Finally, results obtained from the formula have been compared with Monte Carlo simulations and a Black–Scholes-type formula under various kinds of long-run mean functions, and some examples of option price behaviours have been provided.


1994 ◽  
Vol 4 (4) ◽  
pp. 249-263 ◽  
Author(s):  
Seungmook Choi ◽  
Mark E. Wohar

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