In: Accounting
Blossom Inc. issues $2,011,300 of 10% bonds due in 12 years with
interest payable at year-end. The current market rate of interest
for bonds of similar risk is 11%.
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What amount will Blossom receive when it issues the bonds?
(Round factor values to 5 decimal places, e.g. 1.25124
and final answers to 0 decimal places, e.g.
458,581.)
Amount received by Blossom when bonds were issued | $ |
Solution
Amount received by Blossom when bonds were issued = $1,880,718 |
Working
Bonds issue price is calculated by ADDING the: |
Discounted face value of bonds payable at market rate of interest, and |
Discounted Interest payments amount (during the lifetime) at market rate of interest. |
.
Annual Rate | Applicable rate | Face Value | $ 2,011,300 | ||
Market Rate | 11.00% | 11.00% | Term (in years) | 12 | |
Coupon Rate | 10.00% | 10.00% | Total no. of interest payments | 12 |
.
Calculation of Issue price of Bond | ||||||||
Bond Face Value | Market Interest rate (applicable for period/term) | |||||||
PV of | $ 2,011,300 | at | 11.00% | Interest rate for | 12 | term payments | ||
PV of $1 | 0.28584 | |||||||
PV of | $ 2,011,300 | = | $ 2,011,300 | x | 0.28584 | = | $ 574,910 | A |
Interest payable per term | at | 10.00% | on | $ 2,011,300 | ||||
Interest payable per term | $ 201,130 | |||||||
PVAF of 1$ | for | 11.00% | Interest rate for | 12 | term payments | |||
PVAF of 1$ | 6.49236 | |||||||
PV of Interest payments | = | $ 201,130 | x | 6.49236 | = | $ 1,305,808 | B | |
Bond Value (A+B) | $ 1,880,718 |