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Imagine a portfolio that consists of two types of loans. The first is a simple loan with the loan amount of $35 million, which will

Imagine a portfolio that consists of two types of loans. The first is a simple loan with the loan amount of $35 million, which will be redeemed in three years. The second is another $35 million loan that requires an annual interest payment of $2.8 million.

  1. Fill in the following table to compute the duration of the second loan.

Year

1

2

3

Sum

Cash payments ($million)

Present value (PV) of cash payments ($million)

Weighted PV (%)

Weighted maturity (years)

b. Compute the duration of the portfolio.

c. Compute the change in the value of the portfolio if the general interest rate rises from 3% to 5.5%?

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