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Jackknifing Bond Option Prices, Peter C. B. Phillips, Jun Yu
Jackknifing Bond Option Prices, Peter C. B. Phillips, Jun Yu
Research Collection School Of Economics
Prices of interest rate derivative securities depend crucially on the mean reversion parameters of the underlying diffusions. These parameters are subject to estimation bias when standard methods are used. The estimation bias can be substantial even in very large samples and much more serious than the discretization bias, and it translates into a bias in pricing bond options and other derivative securities that is important in practical work. This article proposes a very general and computationally inexpensive method of bias reduction that is based on Quenouille's (1956; Biometrika, 43, 353-360) jackknife. We show how the method can be applied directly …
A Two-Stage Realized Volatility Approach To The Estimation For Diffusion Processes From Discrete Observations, Peter C. B. Phillips, Jun Yu
A Two-Stage Realized Volatility Approach To The Estimation For Diffusion Processes From Discrete Observations, Peter C. B. Phillips, Jun Yu
Research Collection School Of Economics
This paper motivates and introduces a two-stage method for estimating diffusion processes based on discretely sampled observations. In the first stage we make use of the feasible central limit theory for realized volatility, as recently developed in Barndorff-Nielsen and Shephard (2002), to provide a regression model for estimating the parameters in the diffusion function. In the second stage the in-fill likelihood function is derived by means of the Girsanov theorem and then used to estimate the parameters in the drift function. Consistency and asymptotic distribution theory for these estimates are established in various contexts. The finite sample performance of the …