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A two-year coupon-paying bond has a face value of $100 000, yield of 7.5% p.a. and coupon rate of 7.5% p.a. The interest rates are

A two-year coupon-paying bond has a face value of $100 000, yield of 7.5% p.a. and coupon rate of 7.5% p.a. The interest rates are paid half yearly.

a) Calculate the price of the bond

b) Calculate the duration of a bond

c) Calculate the convexity of the bond.

d) The yield on the bond instantaneously increases from 7.5% to 7.7%.

*Please write down the formula instead of Excel format

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