In: Accounting
Present Value of Bonds Payable; Premium Moss Co. issued $180,000 of five-year, 11% bonds, with interest payable semiannually, at a market (effective) interest rate of 10%. Determine the present value of the bonds payable, using the present value tables in Exhibit 5 and Exhibit 7. Round to the nearest dollar. $
Present Value of Bonds Payable | $ 186,950 |
Working:
Present value of interest payments | $ 76,445 |
[$180,000*5.5%*7.721735 PV annuity factor (5%, 5 years, semi-annual bond)] | |
Present value of the face value | $ 110,504 |
[$180,000*0.613913 PV ordinary factor (5%, 5 years, semi-annual bond)] | |
Present Value of Bonds Payable | $ 186,950 |
Checking:
Schedule of Interest Expense and Bond Premium Amortization | ||||
Bond Payment Schedule | ||||
Date | Cash Payment | Interest Expense | Amortization of Premium | Carrying Amount |
1st Year Beginning | $ 186,949.56 | |||
Year 1 | $ 9,900.00 | $ 9,347.48 | $ 552.52 | $ 186,397.04 |
Year 1 | $ 9,900.00 | $ 9,319.85 | $ 580.15 | $ 185,816.89 |
Year 2 | $ 9,900.00 | $ 9,290.84 | $ 609.16 | $ 185,207.74 |
Year 2 | $ 9,900.00 | $ 9,260.39 | $ 639.61 | $ 184,568.12 |
Year 3 | $ 9,900.00 | $ 9,228.41 | $ 671.59 | $ 183,896.53 |
Year 3 | $ 9,900.00 | $ 9,194.83 | $ 705.17 | $ 183,191.36 |
Year 4 | $ 9,900.00 | $ 9,159.57 | $ 740.43 | $ 182,450.92 |
Year 4 | $ 9,900.00 | $ 9,122.55 | $ 777.45 | $ 181,673.47 |
Year 5 | $ 9,900.00 | $ 9,083.67 | $ 816.33 | $ 180,857.14 |
Year 5 | $ 9,900.00 | $ 9,042.86 | $ 857.14 | $ 180,000.00 |
By the end of year 5 ,Carrying value is equal to face value.