You can enter into a forward contract for a bond with a maturity in one year months that pays a coupon payment of $25 every six months. The bond has a forward price of $930. The current zero coupon rate for 6 months is 4% annually and the zero coupon risk free rate for one year is 5% annually (assume continuous compounding). The current price of the bond is $943. Use the equilibrium forward price equation (F=Sert) adjusted for both coupon payments to see if an arbitrage opportunity exists. If arbitrage is possible, explain the arbitrage opportunity that exists and show how the profit can be earned – make sure to explain every step in detail in realizing the profit and establishing the arbitrage. If arbitrage is not possible, show how you know it is not possible.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter6: Fixed-income Securities: Characteristics And Valuation
Section: Chapter Questions
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You can enter into a forward contract for a bond with a maturity in one year months that pays a coupon payment of $25 every six months. The bond has a forward price of $930. The current zero coupon rate for 6 months is 4% annually and the zero coupon risk free rate for one year is 5% annually (assume continuous compounding). The current price of the bond is $943. Use the equilibrium forward price equation (F=Sert) adjusted for both coupon payments to see if an arbitrage opportunity exists. If arbitrage is possible, explain the arbitrage opportunity that exists and show how the profit can be earned – make sure to explain every step in detail in realizing the profit and establishing the arbitrage. If arbitrage is not possible, show how you know it is not possible.  

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