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Chinese Journal of Management Science ›› 2010, Vol. 18 ›› Issue (4): 21-27.

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Utility Indifference Pricing of Mortgage-Backed Securities

YE Wen-zhong1, YANG Zhao-jun2, ZHENG Yi3   

  1. 1. Business School, Hunan University of Science and Technology, Xiangtan 411201, China;
    2. School of Finance and Statistics, Hunan University, Changsha 410079, China;
    3. Academy of Soft Science, Guilin University of Electronic Technology, Guilin 541004, China
  • Received:2009-08-11 Revised:2010-07-04 Online:2010-08-30 Published:2010-08-30

Abstract: The mainstream methods take the mean of disco unted cash flows as the valuation of mortgage-backed securities(M BS),which is actually a risk-neutral price and neglects the significant effect of investors risk at titude in asset pricing.This paper develops a new approach to the valuation of mort gage-backed securities by way of utility indif ferent prices developed by Hodges and Neuberger(1989).Assuming investors have logarithm consumption utility,the paper obtains a formula to value MBS,which is easy to implement.The paper presents both Monte Carlonumeric algorithm and example.Some static analyses are shown in the end.

Key words: MBS pricing, stochastic rate model, optimal stopping time, utility indifference prices, Monte Carlo simulation

CLC Number: