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With the following information: Maturity (year) ZCB Price 0.25 0.988 0.5 0.971 0.75 0.953 1 0.933 (a) Instead of using an FRA directly, what positions

With the following information:

Maturity (year)

ZCB Price

0.25

0.988

0.5

0.971

0.75

0.953

1

0.933

(a) Instead of using an FRA directly, what positions in zero coupon bonds would you use to synthetically create the FRA borrower position?

A. Long the 6 months zero coupon bonds and short the 9 months zero coupon bonds

B. Short the 6 months zero coupon bonds and long the 9 months zero coupon bonds.

C. Long the 6 months zero coupon bonds and short the 3 months zero coupon bonds.

D. Short the 6 months zero coupon bonds and long the 3 months zero coupon bonds.

(b) Suppose you observed the FRA you required has an interest rate of 2% effectively for 3 months. What positions in bonds would you take to capture the arbitrage profit? (Assume you would take an appropriate position for the FRA)

A. Long the 6 months zero coupon bonds and short the 9 months zero coupon bonds.

B. Short the 6 months zero coupon bonds and long the 9 months zero coupon bonds.

C. Long the 6 months zero coupon bonds and short the 3 months zero coupon bonds.

D. Short the 6 months zero coupon bonds and long the 3 months zero coupon bonds.

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