Premium
Bond Option Valuation for Non‐Markovian Interest Rate Processes
Author(s) -
Barber Joel R.
Publication year - 2005
Publication title -
financial review
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.621
H-Index - 47
eISSN - 1540-6288
pISSN - 0732-8516
DOI - 10.1111/j.1540-6288.2005.00122.x
Subject(s) - valuation (finance) , bond valuation , stochastic game , valuation of options , portfolio , bond , interest rate , markov process , economics , embedded option , financial economics , mathematical economics , mathematics , finance , statistics
The standard method for valuing a European option on a bond portfolio is developed by Jamshidian. He shows that under certain circumstances the payoff from a bond option can be expressed as a portfolio of payoffs on discount bond options, allowing the option to be valued as a portfolio of options. A limitation of this approach is that it cannot be applied to non‐Markovian interest rate processes. This paper develops a method for the valuation of a European option on a bond portfolio that can be applied to both Markovian and non‐Markovian interest rate processes.