Novak Co. is building a new hockey arena at a cost of $2,620,000. It received a downpayment of $480,000 from local businesses to support the project, and now needs to borrow $2,140,000 to complete the project. It therefore decides to issue $2,140,000 of 12%, 10-year bonds. These bonds were issued on January 1, 2019, and pay interest annually on each January 1. The bonds yield 11%.
Prepare a bond amortization schedule up to and including January
1, 2023, using the effective interest method. (Round
answers to 0 decimal places, e.g. 38,548.)
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Carrying |
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1/1/19 | $ | $ | $ | $ | ||||
1/1/20 | ||||||||
1/1/21 | ||||||||
1/1/22 | ||||||||
1/1/23 |
Solution
Date | Cash Paid | Interest expense | Premium Amortization | Carrying amount of Bonds |
1/1/2019 | $ 2,266,019 | |||
1/1/2020 | $ 256,800 | $ 249,262 | $ 7,538 | $ 2,258,481 |
1/1/2021 | $ 256,800 | $ 248,433 | $ 8,367 | $ 2,250,114 |
1/1/2022 | $ 256,800 | $ 247,513 | $ 9,287 | $ 2,240,827 |
1/1/2023 | $ 256,800 | $ 246,491 | $ 10,309 | $ 2,230,517 |
Working
Annual Rate | Applicable rate | Face Value | $ 2,140,000 | ||
Market Rate | 11.00% | 11.00% | Term (in years) | 10 | |
Coupon Rate | 12.00% | 12.00% | Total no. of interest payments | 10 |
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Calculation of Issue price of Bond | ||||||||
Bond Face Value | Market Interest rate (applicable for period/term) | |||||||
PV of | $ 2,140,000 | at | 11.00% | Interest rate for | 10 | term payments | ||
PV of $1 | 0.35218 | |||||||
PV of | $ 2,140,000 | = | $ 2,140,000 | x | 0.35218 | = | $ 753,665 | A |
Interest payable per term | at | 12.00% | on | $ 2,140,000 | ||||
Interest payable per term | $ 256,800 | |||||||
PVAF of 1$ | for | 11.00% | Interest rate for | 10 | term payments | |||
PVAF of 1$ | 5.88923 | |||||||
PV of Interest payments | = | $ 256,800 | x | 5.88923 | = | $ 1,512,354 | B | |
Bond Value (A+B) | $ 2,266,019 |
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