Question

The average duration of the loans is 10 years. The average duration of the deposits is 3 years.

What is the gain or loss on the futures position using T-Bonds (Duration = 9 years, $96 per $100 face value) if the shock to interest rates is 1 percent [i.e. ΔR/(1 + R) = 0.01 and ΔRf/(1 + Rf) = 0.011]?

A. $16,320,960 loss.

B. $16,312,320 gain.

C. $15,552,750 gain.

D. $15,552,750 loss.

E. $13,252,250 gain.

Answer

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