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In a tractable stochastic volatility model, we identify the price of the smile as the price of the unspanned risks … traded in SPX option markets. The price of the smile reflects two persistent volatility and skewness risks, which imply a …-form and structural models of stochastic volatility …
Persistent link: https://www.econbiz.de/10011412294
that the resulting implied volatility curves provide an accurate approximation for a wide range of strike prices. Based on …
Persistent link: https://www.econbiz.de/10011506359
In this paper we develop a one-factor non-affine stochastic volatility option pricing model where the dynamics of the … asset induce an amplification of the volatility of the asset over the volatility of the fundamentals. Although the model is …
Persistent link: https://www.econbiz.de/10011507732
market, volatility and jump risks, and observation error of time changes. To operationalize the models, we use volume …
Persistent link: https://www.econbiz.de/10012134215
volatility and jumps instead of the Black-Scholes-Merton benchmark cuts by a quarter the amount lost by investors through …
Persistent link: https://www.econbiz.de/10011625896
We introduce a novel stochastic volatility model where the squared volatility of the asset return follows a Jacobi …
Persistent link: https://www.econbiz.de/10011516036
We derive analytic series representations for European option prices in polynomial stochastic volatility models. This …
Persistent link: https://www.econbiz.de/10011870651
We develop a comprehensive mathematical framework for polynomial jump-diffusions in a semimartingale context, which nest affine jump-diffusions and have broad applications in finance. We show that the polynomial property is preserved under polynomial transformations and Lévy time change. We...
Persistent link: https://www.econbiz.de/10011874871
We generalize the Kou (2002) double exponential jump-diffusion model in two directions. First, we independently displace the two tails of the jump size distribution away from the origin. Second, we allow for each of the displaced tails to follow a gamma distribution with an integer-valued shape...
Persistent link: https://www.econbiz.de/10011875854
under a broad class of stochastic volatility models. Based on this formula, we propose a closed-form approximation of the … implied volatility smile. Numerical examples suggest that our approximation is accurate in the absence of mean-reversion in … stochastic volatility …
Persistent link: https://www.econbiz.de/10003961401