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Consider a portfolio which consists of the following two assets: • Asset A: 4-year annuity, paying...

Consider a portfolio which consists of the following two assets:
• Asset A: 4-year annuity, paying 100 AUD each year.
• Asset B: An asset which pays 200 AUD after the second year and after the fourth year.

The current interest rate is 10%.
a) Calculate the durations for Asset A and Asset B. b) Calculate the duration of the portfolio.

c) We want to borrow money with a one-time repayment in 5 years from now. How much can we borrow such that the combination of the asset portfolio and the liability is immune to changes in the interest rate?

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