Answer:
i. = $262.56
, = $308.87
ii. = $781.198
, = $613.91
iii. Bond A = $1,043.76
, Bond B = $922.78
Explanation:
(i) Present Value of Coupon Payment
Bond A :- Semiannual Coupon Amount = $1,000 * 6% * 6 / 12 = $30
Total Semiannual Period = 5 * 2 = 10
Semiannual Interest = 5% / 2 = 2.5%
Present Value of Coupon Payment = $30 * PVAF (2.5% , 10)
= $30 * 8.752
= $262.56
Bond B :- Annual Coupon Amount = $1,000 * 4% = $40
Annual Periods = 10
Annual Interest = 5%
Present Value of Coupon Payment = $40 * PVAF ( 5% , 10)
= $40 * 7.72
= $308.87
(ii)
Present Value of Face Value of Bond
Bond A = $1,000 * PVF (2.5% , 10 periods)
= $1,000 * 0.7812
= $781.198
Bond B = $1,000 * PVF (5% , 10)
= $1,000 * 0.6139
= $613.91
(iii) Total Value of Each Bond
Bond A = $262.56 + $781.198 = $1,043.76
Bond B = $308.87 + $613.91 = $922.78
(iv)If Jamal sees the two bonds in the Wall Street Journal and they are both priced at 99, he should consider:
If the Bond Current Price is lower than Bond Fair Price then he should Buy the Bond
If the Bond Current Price is higher than Bond Fair Price then he should not buy the bond
Market Price of Bond = $99
He should buy Bond A But not Bond B
