Rational term structure models with geometric Levy martingales

Details Rational term structure models with geometric Levy martingales Rational term structure models with geometric Levy martingales

2010-12-08

arxiv.org/abs/1012.1793v2

Economy

Quantitative Finance

Pricing of Securities

expanded version, including general discussion on L\'evy interest rate models

Scientific paper

In the "positive interest" models of Flesaker-Hughston, the nominal discount bond system is determined by a one-parameter family of positive martingales. In the present paper we extend this analysis to include a variety of distributions for the martingale family, parameterised by a function that determines the behaviour of the market risk premium. These distributions include jump and diffusion characteristics that generate various properties for discount bond returns. For example, one can generate skewness and excess kurtosis in the bond returns by choosing the martingale family to be given by (a) exponential gamma processes, or (b) exponential variance gamma processes. The models are "rational" in the sense that the discount bond price is given by a ratio of weighted sums of positive martingales. Our findings lead to semi-analytical formulae for the prices of options on discount bonds. A number of general results concerning L\'evy interest rate models are presented as well.

Affiliated with

Also associated with

No associations

Rating

Rational term structure models with geometric Levy martingales does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Rational term structure models with geometric Levy martingales, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rational term structure models with geometric Levy martingales will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-558783