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다양한 보간법을 이용한 구조화 채권의 평가와 헤지

Pricing and Hedging of Structured notes using various Interpolation methods

초록/요약

This study aims to find the interpolation methods to construct a yield curve. In this paper, first, we construct the yield curve using three methods: the piecewise linear interpolation, cubic spline interpolation, and the monotone convex method. Second, we evaluate the structured notes, which contain the Bermudan call option, through the Hull-White model and the least square Monte-Carlo method. According to the simulation results, the hedge performance is contingent on how a yield curve is interpolated. This study, thus, suggests that one needs to choose an interpolation method carefully by comparing the methods in different settings to find the one, which can improve the hedge performance.

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목차

1 Introduction 1
2 Structured Notes 3
2.1 Introduction 3
2.2 Pricing of Structured Notes 5
2.2.1 Hull-White model 5
2.2.2 Least-Squares Monte-Carlo method 13
3 Interpolation Methods for Yield Curve 14
3.1 Introduction 14
3.2 Interpolation Methods 15
3.2.1 Piecewise linear interpolation 15
3.2.2 Cubic spline interpolation 16
3.2.3 Monotone convex method 16
3.3 Comparison of Interpolation Results 20
4 Numerical Results 23
5 Conclusion 31
References 33

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