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You are managing a portfolio to pay your liabilities in 5 years time. The liability is $100,000 and your target duration is 5 years. You

You are managing a portfolio to pay your liabilities in 5 years time. The liability is $100,000 and your target duration is 5 years. You can invest in two zero coupon bonds. Following are is a data provided for both bonds:

Zero Coupon (Bond A)

Zero Coupon (Bond B)

Maturity

11 year

14 years

Market Price

$1150

$1200

YTM

5%

5%

Requirement:

  1. What should be the duration of asset portfolio?
  2. What should be the weights of bond A and bond B in the portfolio to meet the liability in 5 years?
  3. How much you shall invest today to meet the liability in 5 years.
  4. How much amount you should invest in Bond A and Bond B?
  5. How many of Bond A and Bond B you should include in your portfolio?

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