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Basket Options Valuation for a Local Volatility Jump-Diffusion Model with the Asymptotic Expansion Method
Basket options pricing local volatility jump-diffusion model forward PIDE
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2010/10/19
In this paper we discuss the basket options valuation for a jump-diffusion model. The underlying asset prices follow some correlated local volatility diffusion processes with systematic jumps. We deri...
Is the minimum value of an option on variance generated by local volatility?
minimum value option local volatility
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2010/10/18
We discuss the possibility of obtaining model-free bounds on volatility derivatives, given present market data in the form of a calibrated local volatility model. A counter-example to a wide-spread co...
Closed form asymptotics for local volatility models
local volatility models
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2010/11/2
We obtain new closed-form pricing formulas for contingent claims when the asset follows a Dupire-type local volatility model. To obtain the formulas we use the Dyson-Taylor commutator method that we h...