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The Average Duration of the Loans Is 10 Years

Question 207

Multiple Choice

The average duration of the loans is 10 years. The average duration of the deposits is 3 years. 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 ΔR<sub>f</sub>/(1 + R<sub>f</sub>)  = 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. 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.

Correct Answer:

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