Calculate the forward interest rates

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Question - Let us suppose that the zero coupon curve rate today with continuous compounding is given by Maturity (years) : 1,2,3,4 ZC rate (%) 1.3, 1.7, 2.3, 2.4 respectively.

(a) Show that if the forward interest rate for the second year F(0, 1, 2) were 2.3%, there would be an arbitrage opportunity. Describe the arbitrage strategy and determine the net profit.

(b) Calculate the forward interest rates F(0,3,4) with the equivalent zero coupon rates annually compounded.

(c) Is the forward rate bigger or lower than the spot rate at each time? Why?

Reference no: EM132187694

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