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You manage a pension fund, and your liabilities consist of three payments as follows: Time Payment 5 years 5 million 10 years 10 million 30

You manage a pension fund, and your liabilities consist of three payments as follows:

Time Payment

5 years 5 million

10 years 10 million

30 years 30 million

The term structure is currently flat at 10%.

a) Compute the present value of your liabilities.

b) Compute modified duration of your liabilities.

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