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Persistent link: https://www.econbiz.de/10009724817
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...
Persistent link: https://www.econbiz.de/10009726804
Brownian motion. -- asymptotic uniformity ; local limit theorem ; volatility …
Persistent link: https://www.econbiz.de/10009728974
Persistent link: https://www.econbiz.de/10009724148
We study whether prices of traded options contain information about future extreme market events. Our option-implied conditional expectation of market loss due to tail events, or tail loss measure, predicts future market returns, magnitude, and probability of the market crashes, beyond and above...
Persistent link: https://www.econbiz.de/10010226098
Persistent link: https://www.econbiz.de/10009784936
dynamics has a linear volatility function. In this paper, the model is extended to quadratic volatility functions which are the …
Persistent link: https://www.econbiz.de/10011538865
Black-Scholes formula for pricing the call option. The asset's volatility is a linear function of the asset value and the … solved for level-dependent volatility which is a quadratic polynomial. If zero is attainable, both absorption and negative … for an asset whose volatiliy is affine, the formula for the Bachelier model with constant volatility, and new formulae in …
Persistent link: https://www.econbiz.de/10011539634
Based on the theory of static replication of variance swaps we assess the sign and magnitude of variance risk premiums … general shape of the implied volatility function of the corresponding currency pair. Overall, we conclude that there is a …
Persistent link: https://www.econbiz.de/10010410031
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 …
Persistent link: https://www.econbiz.de/10008748331