Question

In: Accounting

Present Value of Bonds Payable; Premium Moss Co. issued $180,000 of five-year, 11% bonds, with interest...

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. $

Solutions

Expert Solution

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.


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