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We introduce a discrete-time model for log-return dynamics with observable volatility and jumps. Our proposal extends … the class of Realized Volatility heterogeneous auto-regressive gamma (HARG) processes adding a jump component with time … compensating for equity, volatility, and jump risks, the generating function under the risk-neutral measure inherits analytical …
Persistent link: https://www.econbiz.de/10012904165
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 derive an easily computed approximation of Rogers and Shi's lower bound for a local volatility jump …-diffusion model and then use it to approximate European basket option values. If the local volatility function is time independent …
Persistent link: https://www.econbiz.de/10013101412
volatility level. Single-factor stochastic volatility models are not flexible enough to account for the stochastic behavior of … the skew. On the other hand, multifactor stochastic volatility models are able to account for the existence of stochastic … that the consideration of additional volatility factors in the context of stochastic volatility models allows us to …
Persistent link: https://www.econbiz.de/10013064470
This paper introduces a structural credit default model that is based on a hyper-exponential jump diffusion process for the value of the firm. For credit default swap prices and other quantities of interest, explicit expressions for the corresponding Laplace transforms are derived. As an...
Persistent link: https://www.econbiz.de/10013038582
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
-ante measures of volatility, skewness, and kurtosis implied from stock option prices are positively related to the cross section of … volatility, only the unsystematic components of skewness and kurtosis are related to the cross section of expected stock returns …
Persistent link: https://www.econbiz.de/10012905215
We develop a new theory of asset return and volatility based on the stable law and Lihn's former work on the lambda … strictly defines what volatility and noise term should be. The stable count distribution is the conjugate prior of the one …
Persistent link: https://www.econbiz.de/10012946445
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
between stock returns and idiosyncratic return volatility at the firm level. By allowing for the volatility of the underlying … idiosyncratic choice variables to exhibit independent switches between a high and low volatility regime, we show that the options …' constant expected returns are composed of (i) a state dependent drift term that relates positively with the volatility regime …
Persistent link: https://www.econbiz.de/10013109188