A $ 5000 bond with a coupon rate of 5.3% paid semiannually has two years to maturity and a yield to maturity of 8%. If interest rates rise and the yield to maturity increases to 8.3%, what will happen to the price of the bond?
n = 4 | |||||
I = 4% | |||||
Cashflows | Amount | PVF | Present value | ||
Semi annual interest | 132.5 | 3.6299 | 480.9618 | ||
Principal | 5000 | 0.854804 | 4274.02 | ||
Price of bonds | 4754.98 | ||||
n = 4 | |||||
I = 4.15% | |||||
Cashflows | Amount | PVF | Present value | ||
Semi annual interest | 132.5 | 3.6171 | 479.2658 | ||
Principal | 5000 | 0.84989 | 4249.45 | ||
Price of bonds | 4728.716 | ||||
Decrease in Price by $26.26 (4754.98-4728.72) | |||||
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