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The market model of interest rates specifies simple forward or Libor rates as lognormally distributed, their stochastic dynamics has a linear volatility function. In this paper, the model is extended to quadratic volatility functions which are the product of a quadratic polynomial and a...
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We introduce the class of linear-rational term structure models in which the state price density is modeled such that bond prices become linear-rational functions of the factors. This class is highly tractable with several distinct advantages: i) ensures nonnegative interest rates, ii) easily...
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We infer conditional swap rate moments model independently from swaption cubes. Conditional volatility and skewness … exhibit systematic variation across swap maturities and option expiries (conditional kurtosis less so), with conditional … skewness sometimes changing sign. Conditional skewness displays some relation to the level and volatility of swap rates but is …
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