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This paper studies the binomial approximation to the continuous trading term structure model of Heath, Jarrow, and Morton (1987). The discrete time approximation makes the original methodology accessible to a wider audience, and provides a computational procedure necessary for calculating the...
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Classical theories of financial markets assume an infinitely liquid market and that all traders act as price takers. This theory is a good approximation for highly liquid stocks, although even there it does not apply well for large traders or for modelling transaction costs. We extend the...
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Taking the term structure of Treasury securities and Eurodollar rates as exogenous, this paper provides an integrated approach to the pricing and hedging of LIBOR derivatives. Our approach allows the spread between Eurodollar and Treasury rates to reflect both the credit risk in holding...
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Using 3 years of interest rate caps price data, we provide a comprehensive documentation of volatility smiles in the caps market. To capture the volatility smiles, we develop a multifactor term structure model with stochastic volatility and jumps that yields a closed-form formula for cap prices....
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