In: Accounting
The market price of an $980000, ten-year, 8% (pays interest
semiannually) bond issue sold to yield an effective rate of 6%
is
$1874325.
$1134459.
$1124068.
$1125803.
--Correct Answer = Option #4: $ 1,125,803
Amount | PV factor | Present Values | |
PV of Face Value of | $ 980,000.00 | 0.55368 | $ 542,606.40 |
PV of Interest payments of | $ 39,200.00 | 14.87747 | $ 583,196.82 |
Issue Price of Bonds | $ 1,125,803 Answer |
--Concept
Bonds issue price is calculated by ADDING the: |
Discounted face value of bonds payable at 'applicable' market rate of interest [Face value x PV Factor], and |
Discounted Interest payments amount (during the lifetime) at 'applicable' market rate of interest [Interest payment x PV Annuity factor] |
--Data
Face Value | $ 980,000.00 |
Term (in years) | 10 |
Total no. of interest payments | 20 |
Annual Rate | Applicable rate, because of Semi Annual payments | |
Market Rate | 6.0% | 3.0% |
Coupon Rate | 8.0% | 4.0% |