Uncertainty and implied variance bounds in long-memory models of the interest rate term structure

1991 ◽  
Vol 16 (3) ◽  
pp. 287-312 ◽  
Author(s):  
G. S. Shea

2002 ◽  
Vol 2 (1) ◽  
pp. 70-80 ◽  
Author(s):  
D C Brody ◽  
L P Hughston


2004 ◽  
Vol 7 (2) ◽  
pp. 99-127 ◽  
Author(s):  
Frank de Jong ◽  
Joost Driessen ◽  
Antoon Pelsser






2007 ◽  
Vol 10 (02) ◽  
pp. 363-387 ◽  
Author(s):  
CHI CHIU CHU ◽  
YUE KUEN KWOK

We propose three analytic approximation methods for numerical valuation of the guaranteed annuity options in deferred annuity pension policies. The approximation methods include the stochastic duration approach, Edgeworth expansion, and analytic approximation in affine diffusions. The payoff structure in the annuity policies is similar to a quanto call option written on a coupon-bearing bond. To circumvent the limitations of the one-factor interest rate model, we model the interest rate dynamics by a two-factor affine interest rate term structure model. The numerical accuracy and the computational efficiency of these approximation methods are analyzed. We also investigate the value sensitivity of the guaranteed annuity option with respect to different parameters in the pricing model.





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