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Stafford Company received a 150 day, eight percent note for \(\$ 15.000\) on December 1 . What adjusting entry is needed to accrue the interest due on December 31 ?

Short Answer

Expert verified
Adjusting entry: Debit Interest Receivable \(\$100\), Credit Interest Revenue \(\$100\).

Step by step solution

01

Calculate the Total Interest for the Note

The formula to calculate the interest is: \( \text{Interest} = \text{Principal} \times \text{Rate} \times \frac{\text{Time}}{360} \). Substitute the values: \( \text{Principal} = \\(15,000 \), \( \text{Rate} = 8\% = 0.08 \), \( \text{Time} = 150 \) days. We calculate the total interest as follows: \( \text{Interest} = 15,000 \times 0.08 \times \frac{150}{360} = \\)500 \).
02

Calculate the Interest Accrued by December 31

Since December 31 is 30 days after the note was received (from December 1 to December 31), we need to calculate the interest for these 30 days. Use the interest formula: \( \text{Interest Accrued} = 15,000 \times 0.08 \times \frac{30}{360} \). This gives us \( \text{Interest Accrued} = 15,000 \times 0.08 \times \frac{30}{360} = \$100 \).
03

Prepare the Adjusting Journal Entry

To record the accrued interest, Stafford Company needs to make an adjusting journal entry at the end of December. This entry would debit Interest Receivable and credit Interest Revenue for the amount of accrued interest. The adjusting journal entry is: - Debit Interest Receivable: \\(100 - Credit Interest Revenue: \\)100

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Interest Calculation
Interest calculation is the process of determining the amount to be paid or received for the use of money over time. In this exercise, we calculate interest accrued on a note received by Stafford Company. The note lasts for 150 days, with an annual interest rate of eight percent applied to a principal of \( \\(15,000 \).

The formula to calculate interest is:
  • \( \text{Interest} = \text{Principal} \times \text{Rate} \times \frac{\text{Time}}{360} \)
This formula helps to determine the interest based on time in days, as opposed to months or years. To find the total interest over the duration of the note, we insert the provided values:
  • Principal = \( \\)15,000 \)
  • Rate = 8% or 0.08
  • Time = 150 days
Thus, the total interest is calculated as \( \\(15,000 \times 0.08 \times \frac{150}{360} = \\)500 \). This means, by the end of the 150 days, Stafford Company should have earned \( \$500 \) in interest. Understanding the calculation of interest is essential for financial management and decisions.
Journal Entries
Journal entries are formal records of financial transactions in the accounting books. They ensure that all business activities are accurately documented, aiding in financial monitoring and reporting. For Stafford Company, the focus is on recording accrued interest at the end of a period, which is an essential part of adjusting entries.

Adjusting journal entries are made to record unrecognized income or expenses accurately by the end of the accounting period. In this context, the company needs to make an adjusting journal entry on December 31 to recognize the interest accrued over 30 days.

The typical way to record accrued interest includes:
  • Debiting "Interest Receivable" to increase this asset account by \( \\(100 \).
  • Crediting "Interest Revenue" to recognize \( \\)100 \) of income.
These entries ensure that the company's financial statements reflect accurate revenue recognition for the period. Journal entries not only assist with compliance and reporting but also help in tracking financial performance over time.
Accrued Interest
Accrued interest represents interest that has been incurred but not yet paid or received. It accumulates daily and presents essential insights into a company's potential income or expense at any given time. For Stafford Company, we need to determine the interest accrued up to December 31, since the interest has to be recorded as earned but not yet actually received.

Since the note was received on December 1, each day adds to the accrued interest. By December 31, 30 days have passed. The accrued interest calculation using the formula is:
  • \( \text{Interest Accrued} = \\(15,000 \times 0.08 \times \frac{30}{360} \)
This equals \( \\)100 \). Accrued interest ensures that at the end of an accounting period, there is a complete reflection of what the company has earned or needs to pay. It's crucial for maintaining the accuracy and integrity of financial records.

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