Rob buys a 30-year coupon bond with a $250,000 face value at a time when the interest (coupon) rate is 5%. In just under 5 years (so just before the 3rd coupon payment) he sells the bond to a neighbour. At that time the interest rate is 3%. How much is the bond’s approximate (within $1000) competitive value at the time of sale?
Question 2 options:
343,565 |
|
345,565 |
|
347,565 |
|
349,565 |
|
None of the above |
Answer: | |||||
Caculation of Value of Bond | |||||
Value of Bond = Present value of Future cash inflows | |||||
After there will be 28 coupon payment and redemption value | |||||
Coupon payment = $ 250000 *5% = $ 12500 | |||||
Period | Cash inflows | PVF@ 3% | Present Value | ||
1-28 | $ 12,500 | 18.745 | $ 234,315 | ||
28 | $ 250,000 | 0.437 | $ 109,250 | ||
Present value of Future cash Inflows | $ 343,565 | ||||
Value of Bond = $ 343,565 | |||||
The Option "A" is Correct | |||||
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