We propose a fast and accurate numerical method to price European swaptions in a multi-factor Gaussian term structure model that can speed up the calibration to the volatility surface. Pricing an interest rate option in such a multi-factor term structure model involves evaluating a multi-dimensional integration of the underlying claim's payoff on a domain where the payoff is positive. In our method, we approximate the exercise boundary of the state variables as a hyperplane tangent to the maximum probability point on the boundary and simplify the multi-dimensional integration into an analytic form. The maximum probability point can be found using the gradient descent method. We show that the quality of our method is superior to the result of previous studies by directly comparing them to the exact price obtained from the numerical integration.
Keywords: Gaussian term structure model, volatility surface calibration, fast swaption pricing, swaption analytics
학술대회/행사
학술대회 및 야외답사
학술대회/행사
[2013년 제 2차] Fast Swaption Pricing in Gaussian Term Structure Mo
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2013-06-05
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