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The market value of an interest rate swap issued 1 year ago (with original maturity equal to 5 years) with 4 years to maturity is

The market value of an interest rate swap issued 1 year ago (with original maturity equal to 5 years) with 4 years to maturity is equal to 2,070 euro for the party that receives fixed interest and pays floating. The fixed rate of the swap is 3.75%. The swap has the notional value equal to 100,000 euro and interest cash flows are exchanged on the annual basis. Determine the corresponding 4-year zero coupon rate.

Time

Rates(Annual compounding)

Discount factors

0.5

1.4%

0.99307

1

1.8%

0.98232

1.5

2.0%

0.97073

2

2.2%

0.95741

2.5

2.4%

0.94243

3

2.8%

0.92049

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