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학술저널

Pricing Call Options under Stochastic Volatilities

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This paper derives a closed-form solution for the European call option price when the volatility of the underlying stock returns is governed by a diffusion process. The model uses the continuity property of a diffusion process and the martingale approach to valuation of assets under no arbitrage. The pricing formula differs from the Black-Scholes formula in that it needs a volatility adjustment. The volatility movement is allowed to be contemporaneously correlated with the stock price movement.

Abstract

Ⅰ. Introduction

Ⅱ. The Model

Ⅲ. Lognormal Diffusion Volatility

Ⅳ. Conclusion

References

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