Building Risk-Neutral Density (RND) from options data is one useful way
for extracting market expectations about a financial variable. For a sample
of IDI (Brazilian Interbank Deposit Rate Index) options from 1998 to 2009,
this paper estimates the option-implied Risk-Neutral Densities for the
Brazilian short rate using three methods: Shimko, Mixture of Two Log-Normals
and Generalized Beta of Second Kind. Our in-sample goodness-of-fit
evaluation shows that the Mixture of Log-Normals method provides better
fitting to option’s data than the other two methods. The shape of log-normal
distributions seems to fit well to the mean-reversal dynamics of Brazilian
interest rates. We have also calculated the RND implied Skewness, showing
how it could have provided market early-warning signals of the monetary
policy outcomes in 2002 and 2003. Overall, Risk-Neutral Densities implied on
IDI options showed to be a useful tool for extracting market expectations
about future outcomes of the monetary policy.
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