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Valuation of options under a constant elasticity of variance process and stochastic volatility

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In this paper, we price European call options under a constant elasticity of variance process for the asset price and stochastic volatility. In particular, we derive an analytic approximation formula… Click to show full abstract

In this paper, we price European call options under a constant elasticity of variance process for the asset price and stochastic volatility. In particular, we derive an analytic approximation formula in the form of asymptotic expansions, which is valid for European options with short times to expiry. Further, we examine the performance of our formula on a market sample of short-tenor crude oil call options (traded on the International Commodities Exchange) and find that the formula provides an excellent fit to market prices.

Keywords: stochastic volatility; elasticity variance; constant elasticity; options constant; variance process

Journal Title: Quantitative Finance
Year Published: 2021

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