top

Asiasn review of Financial research

Past Issues

HOMEPast Issues Past Issues

Asian Review of Financial Research Vol.21 No.3 pp.91-137
A Study on Empirical Pricing Kernels:A Case of the KOSPI 200 options
Jangkoo Kang KAIST
Byung Chun Kim KAIST
Doojin Ryu* KAIST Business School
Jaesun Yun Samsung Investments
Key Words : Empirical Pricking Kernel,Hedging Performance,Risk Aversion,KOSPI 200 Options,Reverse Engineering

Abstract

This paper estimates the empirical pricing kernels (EPK) implied by the KOSPI 200 options using the reverse engineering technique suggested by Rosenberg and Engle (2002). The empirical pricing kernels are estimated as a power function as well as a polynomial function of the returns of the underlying index. The empirical results documented in this paper are as follows: First, the empirical performance of the power pricing kernel is worse than that of the polynomial pricing kernel that contains more parameters and so is more flexible than the power pricing kernel. This contrasts to the results of Rosenberg and Engle (2002), which investigate the S&P 500 options market. Second, the pricing and forecasting ability of the EPK deteriorate if we estimate the EPK by imposing the restriction that the EPK prices the short term bond exactly. While the amount of the deterioration is large in the case of the power pricing kernel, it is relatively small in the case of the polynomial pricing kernel. The hedging performance with the restriction is almost the same as or sometimes better than the one without the restriction, depending on the hedging method. Third, the empirical performance of time-invariant EPKs is generally poor. The difference in the empirical performance between the time-invariant EPK and the time varying EPK is more prominent in the case of polynomial EPK. The hedging performance of time-invariant EPKs is sometimes better than that of the time-varying EPKs in the case of power EPK. Fourth, the polynomial EPK is more sensitive to the underlying return state compared to the power EPK. The shape of the polynomial EPK that is a function of the underlying return state fluctuates more and reflects the non-linearity of the pricing kernel better than the power EPK. The estimated power EPKs tend to decrease as the underlying return increase. This implies the marginal utilities of investors decrease with the underlying return. Fifth, the risk aversion implied by the EPK is time varying and it has a statistically significant relation with the KOSPI 200 index return and the lag value of the risk aversion.
LIST
Export citation