Pricing of Contingent Claim with Stochastic Live under Different Borrowing-Lending Rate

Hong XUE;Zan Kan NIE

Systems Engineering - Theory & Practice ›› 2001, Vol. 21 ›› Issue (2) : 43-46.

PDF(177 KB)
PDF(177 KB)
Systems Engineering - Theory & Practice ›› 2001, Vol. 21 ›› Issue (2) : 43-46. DOI: 10.12011/1000-6788(2001)2-43
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Pricing of Contingent Claim with Stochastic Live under Different Borrowing-Lending Rate

  • Hong XUE,Zan Kan NIE
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Abstract

In this paper we first obtain a partial differential equation described by price of contingent claim when borrowing rate is not equal to lending rate. Then we price forward contract with stochastic life, executive stock option, pension contract, European call and put option with stochastic lives. And hedging strategy is given. So we notice that how borrowing-lending rate affect price of contingent claim with stochastic lives.

Key words

stochastic life / ito formula / feynman-kac formula / contingent claim

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Hong XUE , Zan Kan NIE. Pricing of Contingent Claim with Stochastic Live under Different Borrowing-Lending Rate. Systems Engineering - Theory & Practice, 2001, 21(2): 43-46 https://doi.org/10.12011/1000-6788(2001)2-43
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