Ting Utilities is planning to issue bonds with a face value of $2,010,000 and a coupon rate of 10 percent. The bonds mature in 15 years and pay interest semiannually every June 30 and December 31. All of the bonds were sold on January 1 of this year. Ting uses the effective-interest amortization method and does not use a premium account. Assume an annual market rate of interest of 8.5 percent. (FV of $1, PV of $1, FVA of $1, and PVA of $1)
1.&2. Prepare the journal entry to record the issuance of the bonds and the interest payment on June 30 of this year.
(dr cash, cr bonds payable) (dr interest expense, dr bonds payable, cr cash)
3. What bonds payable amount will Ting report on its June 30 balance sheet?
| We would first calculate the issue price of bond | ||||||
| Price of bond | Coupon amount*(1-((1+r)^-n)/r) + Face value*(1/(1+r)^n) | |||||
| Coupon amount | $100,500 | 2010000*(10%/2) | ||||
| No of payments (n) | 30 | 15*2 | ||||
| Interest rate (r ) | 4.25% | 8.5%/2 | ||||
| Price of bond | 100500*(1-(1.0425^-30)/0.0425) + 2010000*(1/(1.0425^30)) | |||||
| Price of bond | 100500*16.77902+ 2010000*0.286892 | |||||
| Price of bond | $2,262,944 | |||||
| Journal entry to record issuance of bonds | ||||||
| General Journal | Debit | Credit | ||||
| Cash | $2,262,944 | |||||
| Bonds payable | $2,262,944 | |||||
| (To record bonds issued) | ||||||
| Journal entry to record interest payment on June 30 | ||||||
| General Journal | Debit | Credit | ||||
| Interest expense (2262944*4.25%) | $96,175 | |||||
| Bonds payable (100500-96175) | $4,325 | |||||
| Cash | $100,500 | |||||
| (To record interest payment on June 30) | ||||||
| 3. | ||||||
| Calculation of bonds payable as on 30th June | ||||||
| Issue price | $2,262,944 | |||||
| Less: Bonds payable amortized | $4,325 | |||||
| Bonds payable, June 30 | $2,258,619 | |||||
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