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You have the following information about bonds trading in the market with annual coupons:
Maturity: 1 year Coupon rate: 0% Yield to Maturity: 6%
Maturity: 2 year Coupon rate: 5% Yield to Maturity: 7.95%
Maturity: 3 year Coupon rate: 10% Yield to Maturity: 9.74%
Find the price, yield and duration of 3 year bonds with face value $ 100,000 and 5% coupon paid annually.
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The present value of the redemption amount is 5 times the present value of the coupon stream. What is the price of the bond?
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