5. Consider an 8-month forward contract to buy a coupon-bearing bond that will mature in 1 year from today (t = 0). The current market price of the bond is $800. The bond pays a coupon of $30 every 6 months. Assume that the 6-month and 8-month risk-free interest rates (continuously compounded) are 4% and 5% per annum, respectively. Compute today's (at time t = 0) arbitrage-free forward price.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Consider an 8-month forward contract to buy a coupon-bearing bond that will
mature in 1 year from today (t = 0). The current market price of the bond is $800. The bond
5.
pays a coupon of $30 every 6 months. Assume that the 6-month and 8-month risk-free interest
rates (continuously compounded) are 4% and 5% per annum, respectively.
Compute today's (at time t = 0) arbitrage-free forward price.
Transcribed Image Text:Consider an 8-month forward contract to buy a coupon-bearing bond that will mature in 1 year from today (t = 0). The current market price of the bond is $800. The bond 5. pays a coupon of $30 every 6 months. Assume that the 6-month and 8-month risk-free interest rates (continuously compounded) are 4% and 5% per annum, respectively. Compute today's (at time t = 0) arbitrage-free forward price.
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