Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/85236
Authors: 
Franke, Günter
Stapleton, Richard C.
Subrahmanyam, Marti G.
Year of Publication: 
1999
Series/Report no.: 
CoFE Discussion Paper 99/01
Abstract: 
An important determinant of option prices is the elasticity of the pricing kernel used to price all claims in the economy. In this paper, we first show that for a given forward price of the underlying asset, option prices are higher when the elasticity of the pricing kernel is declining than when it is constant. We then investigate the implications of the elasticity of the pricing kernel for the stochastic process followed by the underlying asset. Given that the underlying information process follows a geometric Brownian motion, we demonstrate that constant elasticity of the pricing kernel is equivalent to a Brownian Motion for the forward price of the underlying asset, so that the Black-Scholes formula correctly prices options on the asset. In contrast, declining elasticity implies that the forward price process is no longer a Brownian motion: it has higher volatility and exhibits autocorrelation. In this case, the Black-Scholes formula underprices all options.
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

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