2. A $5,000 bond with a coupon rate of 5.1% paid semiannually has ten years to maturity and a yield to maturity of 6.7%. If interest rates fall and the yield to maturity decreases by 0.8%, what will happen to the price of the bond?
A. fall by $277.36
B. rise by $277.36
C. fall by $332.83
D. rise by $332.83
Solution:-
Nper = 10 years * 2 = 20
PMT =
PMT = $127.50
Rate =
Rate = 3.35%
To Calculate Price of the Bond-
To Calculate Price of the Bond if interest rate is decreases by 0.80%-
Change in Price of Bond = $4,701.07 - $4,423.71
Change in Price of Bond = $277.36
Price of the Bond rises by $277.36
The Correct Answer is point B i.e. Rise by $277.36
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