The Ho-Lee model assumes that the short rate has stochastic differential equation dr t = (t)dt

Question:

The Ho-Lee model assumes that the short rate has stochastic differential equation drt = θ (t)dt + crdWt. Note that the money market account is defined via B= e∫0T rudu and the discount bond is related to the short rate via D(t,T) = EP[e-Str.ds]. Further, let ƒt,T be the instantaneous forward rate applicable for time T as seen at time t, and defined via D(t,T)= e-St ft,sdsThe instantaneous forward rate can be related to the short rate via rt = ƒt,t. Based on the formula in Section 2.1.1 and assuming the Libor rate LT can be approximated via the instantaneous forward rate ƒT,T as seen at time T, determine the futures convexity adjustment based on the Ho-Lee model. (We will discuss short rate models in Chapter 8. If you feel there is too much new material, it might be worth waiting until you have read Chapter 8 before attempting this. The reason for discussing it here is that the Ho-Lee model is a very popular model used for obtaining the futures convexity adjustment in practice.) 

Section 2.1.1

Deposits, futures, and swaps are amongst the most liquid instru- ments in the interest rates market. Whilst

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: