Math Problem Statement

Legacy issues $630,000 of 9.0%, four-year bonds dated January 1, 2020, that pay interest semiannually on June 30 and December 31. They are issued at $571,310 when the market rate is 12%. Prepare the January 1 journal entry to record the bonds' issuance, complete the table to calculate the total bond interest expense over the bond's life, prepare an effective interest amortization table for the bonds' first two years, and prepare the journal entries to record the first two interest payments.

Solution

To prepare the journal entry for the bond issuance on January 1, 2020, we need to account for the following:

  1. Cash Received: The cash amount received from the bond issuance is $571,310.
  2. Bond Payable: The bond has a par value of $630,000, which needs to be credited because it represents a liability.
  3. Discount on Bonds Payable: The difference between the par value and the cash received ($630,000 - $571,310 = $58,690) is recorded as a "Discount on Bonds Payable," which is a contra-liability account.

Journal Entry:

  • Date: January 1, 2020
    • Debit: Cash: $571,310
    • Debit: Discount on Bonds Payable: $58,690
    • Credit: Bonds Payable: $630,000

This entry reflects the issuance of bonds at a discount.

Would you like a detailed explanation of the bond discount amortization or have any specific questions about this process?

Follow-up Questions:

  1. What is the purpose of the "Discount on Bonds Payable" account in this journal entry?
  2. How is the effective interest method used to amortize the bond discount?
  3. What would the journal entry look like for the first interest payment?
  4. How does the market interest rate affect the issue price of bonds?
  5. What are the financial statement impacts of this bond issuance?

Tip:

The effective interest method allocates the bond discount over the bond's life based on the market interest rate, ensuring the expense matches the economic reality of the bond's cost.

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Math Problem Analysis

Mathematical Concepts

Accounting
Finance
Bond Valuation
Effective Interest Method
Amortization

Formulas

Interest Expense = Carrying Amount of Bonds × Market Interest Rate
Amortization of Discount = Interest Expense - Cash Paid
Carrying Amount of Bonds = Previous Carrying Amount + Amortization of Discount

Theorems

Effective Interest Method

Suitable Grade Level

College-Level Accounting or Finance