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Although the effect of interest rate stochasticity can safely be ignored for short-dated exchange traded volatility … institutions. We therefore extend existing model-free results for the pricing of variance swaps and more general volatility …
Persistent link: https://www.econbiz.de/10013022607
In this article, we apply the forward variance modeling approach by L.Bergomi to the co-terminal swap market model. We build an interest rate model for which all the market price changes of hedging instruments, interest rate swaps and European swaptions, are interpreted as the state variable...
Persistent link: https://www.econbiz.de/10012912383
We construct multi-currency models with stochastic volatility and correlated stochastic interest rates with a full … interest rate by a stochastic volatility displaced-diffusion Libor Market Model [AA02], which can model an interest rate smile …
Persistent link: https://www.econbiz.de/10013069789
We define an equity-interest rate hybrid model in which the equity part is driven by the Heston stochastic volatility … [Hes93], and the interest rate (IR) is generated by the displaced-diffusion stochastic volatility Libor Market Model [AA02 …
Persistent link: https://www.econbiz.de/10013070335
In this article we define a multi-factor equity-interest rate hybrid model with non-zero correlation between the stock and interest rate. The equity part is modeled by the Heston model [Heston-1993] and we use a Gaussian multi-factor short rate process [Brigo,Mercurio-2007; Hull-2006]. By...
Persistent link: https://www.econbiz.de/10013070982
We study a new class of three-factor affine option pricing models with interdependent volatility dynamics and a … stochastic skewness component unrelated to volatility shocks. These properties are useful in order (i) to model a term structure … of implied volatility skews more consistent with the data and (ii) to capture comovements of short and long term skews …
Persistent link: https://www.econbiz.de/10013128475
straddles; second, we estimate the PVR in a Heston (1993) stochastic-volatility model. In both cases, the estimation is … more negative and its term structure is steeper when volatility is high. These findings are inconsistent with calibrations …
Persistent link: https://www.econbiz.de/10011303715
We study American swaptions in the linear-rational (LR) term structure model introduced. The American swaption pricing problem boils down to an optimal stopping problem that is analytically tractable. It reduces to a free-boundary problem that we tackle by the local time-space calculus. We...
Persistent link: https://www.econbiz.de/10011516038
Equity options display a strong factor structure. The first principal components of the equity volatility levels, skews … components are highly correlated with the S&P500 index option volatility, skew, and term structure respectively. We develop an …
Persistent link: https://www.econbiz.de/10013007655
We provide an efficient swaption volatility approximation for longer maturities and tenors, under the lognormal forward …-LIBOR model. In particular, we approximate the swaption volatility with a mean update of the spanning forward rates. Since the …
Persistent link: https://www.econbiz.de/10012901887