Question: problem 7 A corporate bond has 2 years to maturity, a coupon rate of 3%, a face value of $1,000 and pays coupons semiannually. The

problem 7

A corporate bond has 2 years to maturity, a coupon rate of 3%, a face value of $1,000 and pays coupons semiannually. The market interest rate for similar bonds is 0.045.

What is the price of the bond (in $)?

What is the bond's duration?

If yields fall by 0.8 percentage points, what is the new expected bond price based on its duration (in $)?

What is the actual bond price after the change in yields (in $)?

What is the difference between the two new bond prices (in absolute $)?

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