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We consider a stochastic volatility model of the mean-reverting type to describe the evolution of a firm’s values … default probability. Our simulation results indicate that the stochastic volatility model tends to predict higher default … probabilities than the corresponding Merton model if a firm’s credit quality is not too low. Otherwise the stochastic volatility …
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We are concerned with the valuation of European options in Heston's stochastic volatility model with correlation. Based …'s solution based on Fourier inversion and investigate the accuracy of the derived pricing formulae. -- Stochastic volatility …
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The Heston model stands out from the class of stochastic volatility (SV) models mainly for two reasons. Firstly, the … process for the volatility is nonnegative and mean-reverting, which is what we observe in the markets. Secondly, there exists …. -- Heston model ; vanilla option ; stochastic volatility ; Monte Carlo simulation ; Feller condition ; option pricing with FFT …
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A discrete time model of a financial market is considered. We focus on the study of a guaranteed profit of an investor which arises when the stock price jumps are bounded. The limit distribution of the profit as the model becomes closer to the classical model of the geometric Brownian motion is...
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Brownian motion. -- asymptotic uniformity ; local limit theorem ; volatility …
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