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# a company has a obligation of 60 million kroner in 2 years. there are 2 bonds on the market…

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```a company has a obligation of 60 million kroner in 2 years. there are 2 bonds on the market today.
1. a 2-year annuity bond with a yield of 100 kroner annually and a price of 195.11 today
2. a 3-year 2% standing bond with a principal of 100 euro, the rate is set annually and a price of 99.12 euro today.
first question
a) show that the zero-coupon rate over the next three years is y (3) = 2.32%

the bank has told us that the zero coupon rate over the next year is y (1) = 1.21%
second question
b) which y(2) means no arbitrage if a 1-year zero-coupon bond could be traded at y(1) = 1.21%
(c) determine the present value of the obligation
(d) determine the fischer-weil duration of the obligation and the two bonds traded```