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The price of a European option can be computed as the expected value of the payoff function under the risk-neutral measure. For American options and path-dependent options in general, this principle can not be applied. In this paper, we derive a model-free analytical formula for the implied...
Persistent link: https://www.econbiz.de/10010933647
Arbitrage-free price bounds for convertible bonds are obtained assuming a stochastic volatility process for the common stock that lies within a band but makes few other assumptions about volatility dynamics. Equity-linked hazard rates, stochastic interest rates and different assumptions about...
Persistent link: https://www.econbiz.de/10005357666
This paper implements a variety of different calibration methods applied to the Heston model and examines their effect on the performance of standard and minimum-variance hedging of vanilla options on the FTSE 100 index. Simple adjustments to the Black-Scholes-Merton model are used as a...
Persistent link: https://www.econbiz.de/10010838055
We develop and test a fast and accurate semi-analytical formula for single-name default swaptions in the context of the shifted square root jump diffusion (SSRJD) default intensity model. The formula consists of a decomposition of an option on a summation of survival probabilities in a summation...
Persistent link: https://www.econbiz.de/10008542369
We present a stochastic default intensity model where the intensity follows a tractable jump-diffusion process obtained by applying a deterministic change of time to a non mean-reverting square root jump-diffusion process. The model generates higher implied volatilities for default swaptions...
Persistent link: https://www.econbiz.de/10008542370
Convertible bonds are hybrid securities whose pricing relies on a set of complex inter-dependencies due to the sensitivity to interest rate risk, underlying (equity) risk, FX risk, and credit risk, and due to the convertible bond’s early exercise American feature. We present a two factor model...
Persistent link: https://www.econbiz.de/10005558313
We present a two-factor stochastic default intensity and interest rate model for pricing single-name default swaptions. The specific positive square root processes considered fall in the relatively tractable class of affine jump diffusions while allowing for inclusion of stochastic volatility...
Persistent link: https://www.econbiz.de/10005558331
study builds a case for a cellular automata simulation of household decision-making in the context of housing privatization …
Persistent link: https://www.econbiz.de/10009204966
methodology is thus termed ``ROM simulation''. We discuss certain classes of random orthogonal matrices and show how each class … produces samples with different characteristics. ROM simulation has applications to many problems that are resolved using … illustration, we apply ROM simulation to determine the value-at-risk of a stock portfolio. …
Persistent link: https://www.econbiz.de/10008542371
Most banks employ historical simulation for Value-at-Risk (VaR) calculations, where VaR is computed from a lower … faster than MC simulation and which avoids the single-sample bias of historical simulation. Ran- dom orthogonal matrix (ROM …) simulation is a fast matrix-based simulation method that applies directly to an historical sample, or to a parametric …
Persistent link: https://www.econbiz.de/10010838048