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Assume today is 15th December 2005. Coupons are paid semi-annually, in March and September. The following rates/prices are available. Instrument Coupon Rate/Price DB07 5.75% 5.70%

Assume today is 15th December 2005. Coupons are paid semi-annually, in March and September. The following rates/prices are available.

Instrument

Coupon

Rate/Price

DB07

5.75%

5.70%

IRSDB07

5.75%

6.10%

FUT3YR

6.00%

94.5

Required:

a. [4 marks] Assume a face value of $1mil, calculate todays modified duration of DB07. Clearly show all your workings. Without correct workings, even if the final answer was correct, no marks would be allocated.

b. [3 marks] Assume a face value of $1mil, calculate todays modified duration of IRSDBDB07. Clearly show all your workings. Without correct workings, even if the final answer was correct, no marks would be allocated.

c. [5 marks] Assume a face value of $1mil, calculate todays modified duration of FUT3YR. Clearly show all your workings. Without correct workings, even if the final answer was correct, no marks would be allocated.

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