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Estimating the term structure of volatility and fixed income derivative pricing

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  • Issler, João Victor

Abstract

Estimating the parameters of the instantaneous spot interest rate process is of crucial importance for pricing fixed income derivative securities. This paper presents an estimation for the parameters of the Gaussian interest rate model for pricing fixed income derivatives based on the term structure of volatility. We estimate the term structure of volatility for US treasury rates for the period 1983 - 1995, based on a history of yield curves. We estimate both conditional and first differences term structures of volatility and subsequently estimate the implied parameters of the Gaussian model with non-linear least squares estimation. Results for bond options illustrate the effects of differing parameters in pricing.

Suggested Citation

  • Issler, João Victor, 1995. "Estimating the term structure of volatility and fixed income derivative pricing," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 272, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    • Handle: RePEc:fgv:epgewp:272
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    References listed on IDEAS

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