Supplemental Instruction Handouts Financial Accounting Chapter 15: Bonds Payable Answer Key 1. Elmer Co. issued a group of bonds on January 1st, 2012, that pay interest semiannually on June 30th and December 31st. The face value of the bond is $800,000, the annual contract rate is 8%, and the bonds mature in 3 years. These bonds were issued at their par value on January 1st, 2012. Required: Give the general journal entry that would be required on: The date of issuance: Date Jan 1 General Journal Account Titles and Explanations Cash Bonds Payable PR Debit 800,000 Page ____ Credit 800,000 The first interest payment date: Date June 30 General Journal Account Titles and Explanations Bond Interest Expense Cash $800,000 x 8% x 6/12 PR Debit 32,000 Page ____ Credit 32,000 Academic Success Centre www.rrc.mb.ca/asc These answers were created by Michael Reimer for the Academic Success Centre. 2. Helm Co. has a group of bonds dated July 1st, 2012, that pays interest semiannually on December 31st and June 30th. The face value of the bond is $40,000, the annual contract rate is 8%, and the bonds mature in 3 years. These bonds were issued at their par value on October 1st, 2012. Required: Give the general journal entry that would be required: The date of issuance of the bond: Date Oct 1 General Journal Account Titles and Explanations Cash Bonds Payable Interest Payable $40,000 x 8% x 3/12 (July, August and September) PR Debit 40,800 Page ____ Credit 40,000 800 The first interest payment: Date Dec 31 General Journal Account Titles and Explanations Bond Interest Expense Interest Payable Cash $40,000 x 8% x 6/12 PR Page ____ Credit Debit 800 800 1,600 The second interest payment: Date June 30 General Journal Account Titles and Explanations Bond Interest Expense Cash PR Debit 1,600 Page ____ Credit Academic Success Centre www.rrc.mb.ca/asc These answers were created by Michael Reimer for the Academic Success Centre. 1,600 3. Gleason Co. issued a group of bonds on January 1st, 2012, that pay interest semiannually on June 30th and December 31st. The face value of the bond is $180,000, the annual contract rate is 8%, and the bonds mature in 3 years. On January 1 st, 2012, these bonds were issued at a market rate of 6% semiannually. Required: A) Calculate the issue price of the bond. Interest Payments per Period = Face Value of Bond x Bond Interest Rate ÷ Number of Payments per Year Interest Payments per Period = $180,000 x 8% ÷ 2 = $7,200 Number of Interest Payments in Total = Years x Number of Interest Payments per Year Number of Interest Payments in Total = 3 years x 2 = 6 Interest Rate per Period = Market Interest Rate for the Year ÷ Number of Interest Payments per Year Interest Rate per Period = 6% ÷ 2 = 3% To use the tables we go across to the interest per period and then down to the number of interest payments in total. On Table 17A.1: 3% across and 6 down gives us 0.8375. This will be used to calculate the present value of the face value of the bond. On Table 17A.2: 3% across and 6 down gives us 5.4172. This will be used to calculate the present value of the interest payments. Present Value of Face Value of Bond = Face Value of Bond x Value from Table 17A.1 Present Value of Face Value of Bond = $180,000 x 0.8375 = $150,750 Present Value of Interest Payments = Interest Payments per Period x Value from Table 17A.2 Present Value of Interest Payments = $7,200 x 5.4172 = $39,003.84 Present Value of the Bond = Present Value of Face Value of Bond + Present Value of Interest Payments Present Value of Bond = $150,750 + $39,003.84 = $189,753.84 round up to $189,754 B) Calculate the Premium or Discount on the Bonds Payable. Premium on Bonds Payable = Present Value of the Bond – Face Value of the Bond Premium on Bonds Payable = $189,754 – $180,000 = $9,754 Academic Success Centre www.rrc.mb.ca/asc These answers were created by Michael Reimer for the Academic Success Centre. C) Calculate the total bond interest expense that will be recognized over the life of these bonds. Total Cash Interest Paid = Interest Payments per Period x Number of Interest Payments in Total Total Cash Interest Paid = $7,200 x 6 = $43,200 Total Bond Interest Expense = Total Cash Interest Paid – Premium on Bonds Payable Total Bond Interest Expense = $43,200 – $9,754 = $33,446. D) Calculate the interest expense for the first two interest payments using the effective interest method. The first interest payment: We start by computing the bond interest expense. Bond Interest Expense = Present Value of the Bond x Interest Rate per Period Bond Interest Expense = $189,754 x 3% = $5,692.62 round up to $5,693 Now we can compute the premium amortization. Premium Amortization = Interest Payments per Period – Bond Interest Expense Premium Amortization = $7,200 – $5,693 = $1,507 The Second Interest Payment: First we need to update the value of the Bond Payable by subtracting the premium amortization from the present value of the bond. Value of the Bond Payable = Current Value of the Bond Payable – Premium Amortization from the previous Interest Payment Value of the Bond Payable = $189,754 – $1,507 = $188,247 Now we can compute the bond interest expense. Bond Interest Expense = $188,243 x 3% = $5,647.41 round down to $5,647 Now we can compute the premium amortization. Premium Amortization = $7,200 – $5,647 = $1,553 Academic Success Centre www.rrc.mb.ca/asc These answers were created by Michael Reimer for the Academic Success Centre. E) Give the general journal entry that would be required: The date of issuance of the bond Date Jan 1 General Journal Account Titles and Explanations Cash Bonds Payable Premium on Bonds Payable PR Debit 189,754 Page ____ Credit 180,000 9,754 The first interest payment: Date June 30 General Journal Account Titles and Explanations Bond Interest Expense Premium on Bonds Payable Cash PR Debit 5,693 1,507 Page ____ Credit 7,200 The second interest payment: Date Dec 31 General Journal Account Titles and Explanations Bond Interest Expense Premium on Bonds Payable Cash PR Debit 5,647 1,553 Page ____ Credit Academic Success Centre www.rrc.mb.ca/asc These answers were created by Michael Reimer for the Academic Success Centre. 7,200 4. Mixer Co. issued a group of bonds on January 1st, 2012, that pay interest semiannually on June 30th and December 31st. The face value of the bond is $500,000, the annual contract rate is 6%, and the bonds mature in 3 years. On January 1st, 2012, these bonds were issued at a market rate of 10% semiannually. Required: A) Calculate the issue price of the bonds. We will use the same process as we used in question #3 part A. Interest Payments per Period = $500,000 x 6% ÷ 2 = $15,000 Number of Interest Payments in Total = 3 years x 2 = 6 Interest Rate per Period = 10% ÷ 2 = 5% On Table 17A.1: 5% across and 6 down gives us 0.7462. This will be used to calculate the present value of the face value of the bond. On Table 17A.2: 5% across and 6 down gives us 5.0757. This will be used to calculate the present value of the interest payments. Present Value of Face Value of Bond = $500,000 x 0.7462 = $373,100 Present Value of Interest Payments = $15,000 x 5.0757 = $76,135.50 Present Value of Bond = $373,100 + $76,135.50 = $449,235.50 round up to $449,236 B) Calculate the Premium or Discount on the Bonds Payable. Discount on Bonds Payable = Present Value of the Bond – Face Value of the Bond Discount on Bonds Payable = $449,236 – $500,000 = ($50,764) C) Calculate the total bond interest expense to be recognized over the life of these bonds. Again, we will use the same process that we used in question #3 part C. Total Cash Interest Paid = $15,000 x 6 = $90,000 Total Bond Interest Expense = Total Cash Interest Paid + Discount on Bonds Payable Total Bond Interest Expense = $90,000 + $50,764 = $140,764 D) Calculate the interest expense for the first two interest payments using the effective interest method. The first interest payment: We start by computing the bond interest expense. Bond Interest Expense = Present Value of the Bond x Interest Rate per Period Bond Interest Expense = $449,236 x 5% = $22,461.80 round up to $22,462 Academic Success Centre www.rrc.mb.ca/asc These answers were created by Michael Reimer for the Academic Success Centre. Now we can compute the discount amortization. Discount Amortization = Interest Payments per Period – Bond Interest Expense Discount Amortization = $15,000 – $22,462 = ($7,462) The Second Interest Payment: First we need to update the value of the Bond Payable by adding the discount amortization from the present value of the bond. Value of the Bond Payable = Current Value of the Bond Payable + Discount Amortization from the previous Interest Payment Value of the Bond Payable = $449,236 + $7462 = $456,698 Now we can compute the bond interest expense. Bond Interest Expense = $456,698 x 5% = $22,834.90 round up to $22,835 Now we can compute the premium amortization. Discount Amortization = $15,000 - $22,835 = ($7,835) E) Give the general journal entry that would be required on the date of issuance of the bond and the first two interest payment dates. The date of issuance of the bond Date Jan 1 General Journal Account Titles and Explanations Cash Discount on Bonds Payable Bonds Payable PR Debit 449,236 50,764 Page ____ Credit 500,000 The first interest payment: Date June 30 General Journal Account Titles and Explanations Bond Interest Expense Discount on Bonds Payable Cash PR Debit 22,462 Page ____ Credit 7,462 15,000 Academic Success Centre www.rrc.mb.ca/asc These answers were created by Michael Reimer for the Academic Success Centre. The second interest payment: Date Dec 31 General Journal Account Titles and Explanations Bond Interest Expense Discount on Bonds Payable Cash PR Debit 22,835 Page ____ Credit 7,835 15,000 Academic Success Centre www.rrc.mb.ca/asc These answers were created by Michael Reimer for the Academic Success Centre.