Question

On July 1, Year 1, Danzer Industries Inc. issued $40,000,000 of 10-year, 7% bonds at a market (effective) interest rate of 8%, receiving cash of $37,282,062. Interest on the bonds is payable semiannually on December 31 and June 30. The fiscal year of the company is the calendar year.Instructions1. Journalize the entry to record the amount of cash proceeds from the issuance of the bonds on July 1, Year 1.2. Journalize the entries to record the following:a. The first semiannual interest payment on December 31, Year 1, and the amortization of the bond discount, using the straight-line method. Round to the nearest dollar.b. The interest payment on June 30, Year 2, and the amortization of the bond discount,using the straight-line method. Round to the nearest dollar.3. Determine the total interest expense for Year 1.4. Will the bond proceeds always be less than the face amount of the bonds when the contract rate is less than the market rate of interest?5. (Appendix 1) Compute the price of $37,282,062 received for the bonds by using the present value tables in Appendix A at the end of the text. Round to the nearest dollar.

Answer 1

Answer:

1. Journalize the entry to record the amount of cash proceeds from the issuance of the bonds on July 1, Year 1.

Dr Cash 37,282,062

Dr Discount on bonds payable 2,717,938

    Cr Bonds payable 40,000,000

2. Journalize the entries to record the following:

a. The first semiannual interest payment on December 31, Year 1, and the amortization of the bond discount, using the straight-line method. Round to the nearest dollar.

discount on bonds payable = 2,717,938 / 20 coupons = $135,896.90

December 31, Year 1, first coupon payment

Dr Interest expense 1,535,896.90

    Cr Cash 1,400,000

    Cr Discount on bonds payable 135,896.90

b. The interest payment on June 30, Year 2, and the amortization of the bond discount,using the straight-line method. Round to the nearest dollar.

June 30, Year 2, second coupon payment

Dr Interest expense 1,535,896.90

    Cr Cash 1,400,000

    Cr Discount on bonds payable 135,896.90

3. Determine the total interest expense for Year 1.

$1,535,896.90

4. Will the bond proceeds always be less than the face amount of the bonds when the contract rate is less than the market rate of interest?

yes, if the market rate is higher than the coupon rate, the bonds will sell at a discount.

5. (Appendix 1) Compute the price of $37,282,062 received for the bonds by using the present value tables in Appendix A at the end of the text. Round to the nearest dollar.

bond price = PV of face value + PV of coupon payments

• PV of face value = $40,000,000 x 0.4564 (PV factor, 4%, 20 periods) = $18,256,000
• PV of coupon payments = $1,400,000 x 13.590 (PV annuity factor, 4%, 20 periods) = $19,026,000

bond's market price = $18,256,000 + $19,026,000 = $37,282,000