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Assume you manage the following portfolio of liabilities. Instrument Coupon Maturity Face Market Market Macaulay date Value ($m) Value ($) Interest rate Duration DB03 6.77%

Assume you manage the following portfolio of liabilities.

Instrument

Coupon

Maturity

Face

Market

Market

Macaulay

date

Value ($m)

Value ($)

Interest rate

Duration

DB03

6.77%

15-03-03

100

100,129,016.87

6.56/6.70

?

DB11

5.65%

15-03-11

100

100,607,102.57

5.53/5.57

7.77

  1. Calculate the Macaulay Duration for the DB03 bond. (5 Marks)

Note: Today is the 15th March 2001 and there are 92 days between today and 15th June 2001. The DB03 market value is based on 6.70% yield and DB11 market value is based on 5.57% yield.

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