Template-Type:ReDIF-Paper 1.0 Title:Closed Form Solutions for Term Structure Derivatives with Log-Normal Interest Rates Author-Name: Miltersen, K. Author-Name: K. Sandmann Author-Name: D. Sondermann Classification-JEL:G13 Keywords:Log-normal, nominal-compounding rates, Heath-Jarrow- Morton model Abstract:We derive a unified model which gives closed form solutions for caps and floors written on interest rates as well as puts and calls written on zero-coupon bonds. The crucial assumption is that forward rates with a compounding period that matches the contract, which we want to price, is log-normally distributed. Moreover, this assumption is shown to be consistent with the Heath-Jarrow-Morton model for a specific choice of volatility. Length: pages Creation-Date: 1994-03 Revision-Date: Handle: RePEc:bon:bonsfb:308 File-URL: http://www.wiwi.uni-bonn.de/bgsepapers/bonsfb/bonsfb308.pdf File-Format: application/pdf File-Size: 238173 bytes