Refer to Problem 12. How does consideration of basis risk change your answers?
a. Compute the number of T-bond futures contracts required to construct a macrohedge if T-bond futures are priced at 96 and the duration of the T-bond underlying the futures contract is 9 years. Also, assume that [ÎRf /(1 + Rf)/ÎR/(1 + R)] = br = 0.90.
b. Explain what is meant by br = 0.90.
c. If br = 0.90, what information does this provide on the number of futures contracts needed to construct a macrohedge?
Data from Problem 12:
Consider the following balance sheet (in millions) for an FI:
a. What is the FIâs duration gap?
b. What is the FIâs interest rate risk exposure?
c. How can the FI use futures and forward contracts to create a macrohedge?
d. What is the impact on the FIâs equity value if the relative change in interest rates is an increase of 1 percent? That is, ÎR/(1Â +Â R)Â =Â 0.01.
e. Suppose that the FI in part (c) macrohedges using Treasury bond futures that are currently priced at 96. What is the impact on the FIâs futures position if the relative change in all interest rates is an increase of 1 percent? That is, ÎR/(1Â +Â R)Â =Â 0.01. Assume that the deliverable Treasury bond has a duration of nine years.
f. If the FI wants to macrohedge, how many Treasury bond futures contracts does it need?
Assets Duration = 10 years Liabilities $950 Duration =2 years $860 Equity = 90
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