Answer:
Explanation:
a. Market rate of interest 4 %
Present value of the bonds = Semiannual coupon x PVIFA 2%,n=30 + Par Value x PVIF 2%, n=30 = $ 508,000 x 6% x 1/2 x 22.3965 + $ 508,000 x 0.5521 = $ 341,322.66 + $ 280,466.80 = $ 621789.46
Issue Price $ 621,790
b. Market Interest Rate : 6%
Present value of the bonds = $ 508,000 x 6% x 1/2 x 19.6004 + $ 508,000 x 0.4120 = $ 298,710 + $ 209,296 = $ 508,000
Issue Price $ 508,000
c. Market interest rate : 8.5 %
Present value of the bonds = Semiannual coupon x PVIFA 4.25%, n=30 + Par Value x PVIF 4.25%, n=30 = $ 508,000 x 6% x 1/2 x 16.7790 + $ 508,000 x 0.2869 = $ 255,711.96 + $ 145,745.20 = $ 401,457.16
Issue Price $ 401,460