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Theisen Co., a building construction company, holds a 90 -day, \(6 \%\) note for \(\$ 20,000\), dated March 15, which was received from a customer on account. On April 14, the note is discounted at the bank at the rate of \(8 \%\). a. Determine the maturity value of the note. b. Determine the number of days in the discount period. c. Determine the amount of the discount. Round to the nearest dollar. d. Determine the amount of the proceeds. e. Journalize the entry to record the discounting of the note on April 14 .

Short Answer

Expert verified
The maturity value of the note is $20,300, the discount is $271, and the proceeds are $20,029.

Step by step solution

01

Calculate the Maturity Value of the Note

The maturity value is the total amount that will be received at the end of the note term. To calculate the maturity value of a note: \[ \text{Maturity Value} = \text{Principal} \times \left(1 + \frac{\text{Interest Rate} \times \text{Time}}{360}\right) \] For this note, the principal is \(20,000, the interest rate is 6%, and the time is 90 days. \[ \text{Maturity Value} = 20,000 \times \left(1 + \frac{0.06 \times 90}{360}\right) = 20,000 \times 1.015 = 20,300 \] So, the maturity value is \)20,300.
02

Calculate the Number of Days in the Discount Period

The discount period is the number of days from the discount date to the maturity date. Since the note is dated March 15 and there are 90 days in total, count the days from March 15 to April 14, and find the remaining days until maturity. - From March 15 to April 14: 31 days (March has 31 days) - 15 + 14 = 29 days in March and April up to the 14th. - The remaining days: 90 days - 30 days = 60 days in discount period.
03

Calculate the Amount of the Discount

The discount is calculated based on the maturity value, the bank discount rate, and the discount period. \[ \text{Discount} = \text{Maturity Value} \times \left(\frac{\text{Discount Rate} \times \text{Discount Period}}{360}\right) \] For this case, the maturity value is \(20,300, the discount rate is 8%, and the discount period is 60 days. \[ \text{Discount} = 20,300 \times \left(\frac{0.08 \times 60}{360}\right) = 20,300 \times 0.013333 = 270.67 \] Rounded to the nearest dollar, the discount is \)271.
04

Calculate the Amount of the Proceeds

The proceeds are the maturity value minus the discount. \[ \text{Proceeds} = \text{Maturity Value} - \text{Discount} \] Where the maturity value is \(20,300 and the discount is \)271. \[ \text{Proceeds} = 20,300 - 271 = 20,029 \] So, the proceeds amount to $20,029.
05

Journalize the Discounting of the Note

To record the discounting of the note, debit the Cash account with the proceeds received, and debit the Discount on Notes Receivable account with the discount amount. Credit the Notes Receivable account with the face value of the note. - Debit Cash: $20,029 - Debit Discount on Notes Receivable: $271 - Credit Notes Receivable: $20,300 The journal entry would be: ``` Debit Cash 20,029 Debit Discount on Notes Rec. 271 Credit Notes Receivable 20,300 ```

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Key Concepts

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

Maturity Value
The maturity value of a note is the total amount that is due at the end of the note's term. It includes both the principal amount and the interest that has accrued over the life of the note. To calculate it, you use the formula:
  • Principal refers to the initial amount of the note, in this case, \(20,000.
  • Interest Rate is the rate at which interest accumulates, here expressed as 6% annually.
  • Time represents the life of the note in days, which is 90 days for this exercise.
The formula to compute this is:\[\text{Maturity Value} = \text{Principal} \times \left(1 + \frac{\text{Interest Rate} \times \text{Time}}{360}\right)\]Substitute the given values to find:\[\text{Maturity Value} = 20,000 \times \left(1 + \frac{0.06 \times 90}{360}\right) = 20,000 \times 1.015 = 20,300\]So, the maturity value for this note is \)20,300.
Note Discounting
Note discounting is a process by which a holder of a note can receive cash prior to the note's maturity by selling it to a financial institution, usually a bank. The bank applies a discount rate, which is essentially the bank's fee for providing early access to the funds.
  • Determine the Discount Period, which is the remaining time from the discounting date to the note's maturity date, here 60 days after discounting on April 14.
  • The Discount Rate offered by the bank is typically higher than the note's interest rate (8% compared to 6% here).
To calculate the discount amount, use:\[\text{Discount} = \text{Maturity Value} \times \left(\frac{\text{Discount Rate} \times \text{Discount Period}}{360}\right)\]In this exercise:\[\text{Discount} = 20,300 \times \frac{0.08 \times 60}{360} = 20,300 \times 0.013333 = 270.67\]Upon rounding, the discount is \(271. The proceeds received from the bank are the maturity value minus the discount. Hence:\[\text{Proceeds} = 20,300 - 271 = 20,029\]So, by discounting the note, Theisen Co. receives \)20,029 immediately.
Journal Entries
Recording financial transactions correctly is essential in financial accounting. When discounting a note, you need to ensure the correct journal entries reflect the transaction's nature.
  • Debit the Cash account with the proceeds amount. This is the actual cash received, $20,029 in our case.
  • Debit the Discount on Notes Receivable account with the discount amount, which represents the cost of getting an immediate payment, recorded here as $271.
  • Credit the Notes Receivable account with the note's face value, as this offset against the original note receivable balance which was included in the maturity face value upon creation. This amounts to $20,300 for Theisen Co.
This gives the following journal entry: ``` Debit Cash 20,029 Debit Discount on Notes Rec. 271 Credit Notes Receivable 20,300 ``` Journal entries like this help to transparently record transactions and assist in financial audits and when preparing financial statements.

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Most popular questions from this chapter

Kubota Co. is a wholesaler of office supplies. An aging of the company's accounts receivable on December 31,2006 , and a historical analysis of the percentage of uncollectible accounts in each age category are as follows: \begin{tabular}{lrc} Age Interval & Balance & Percent Uncollectible \\ \cline { 2 - 3 } Not past due & \(\$ 450,000\) & \(2 \%\) \\ 1-30 days past due & 110,000 & 4 \\ \(31-60\) days past due & 51,000 & 6 \\ \(61-90\) days past due & 12,500 & 20 \\ \(91-180\) days past due & 7,500 & 60 \\ Over 180 days past due & \(\frac{5,500}{\$ 636,500}\) & 80 \\ & \(\underline{\hline}\) \end{tabular} Estimate what the proper balance of the allowance for doubtful accounts should be as of December 31,2006 .

Journalize the following transactions in the accounts of Graybeal Co., a hospital supply company that uses the direct write-off method of accounting for uncollectible receivables: July 6. Sold merchandise on account to Dr. Jerry Jagers, \(\$ 18,500\). The cost of the merchandise sold was \(\$ 11,100\). Sept. 12. Received \(\$ 9,000\) from Dr. Jerry Jagers and wrote off the remainder owed on the sale of July 6 as uncollectible. Dec. 20. Reinstated the account of Dr. Jerry Jagers that had been written off on September 12 and received \(\$ 9,500\) cash in full payment.

Determine the due date and the amount of interest due at maturity on the following notes: \begin{tabular}{llrrr} & Date of Note & Face Amount & Term of Note & Interest Rate \\ \hline a. & June 2 & \(\$ 8,000\) & 90 days & \(6 \%\) \\ b. & August 30 & 18,000 & 120 days & \(8 \%\) \\ c. & October 1 & 12,500 & 60 days & \(12 \%\) \\ d. & March 6 & 10,000 & 60 days & \(9 \%\) \\ e. & May 20 & 6,000 & 60 days & \(10 \%\) \end{tabular}

The series of seven transactions recorded in the following \(T\) accounts were related to a sale to a customer on account and the receipt of the amount owed. Briefly describe each transaction. \begin{tabular}{l|llll} \multicolumn{2}{c}{ Sales } & & \multicolumn{2}{c}{ Sales Returns and Allowances } \\ \cline { 1 - 2 } \cline { 5 - 6 }\((1)\) & 24,000 & \((3)\) & \(3,000 \mid\) \end{tabular} \begin{tabular}{ll|lll|lll} \multicolumn{3}{c}{ Cost of Merchandise Sold } & & \multicolumn{3}{c}{ Interest Revenue } \\ \cline { 1 - 3 } \cline { 5 - 7 } (2) & 15,000 & \((4)\) & 1,800 & & \((6)\) & 420 \\\ & & & & \((7)\) & 357 \end{tabular}

Journalize the following transactions in the accounts of Allied Theater Productions: June 1. Received a \(\$ 60,000,60\)-day, \(8 \%\) note dated June 1 from Rhodes Company on account. July 1. Discounted the note at City Bank at \(9 \%\). 31\. The note is dishonored by Rhodes Company; paid the bank the amount due on the note, plus a protest fee of \(\$ 200\). Aug. 30. Received the amount due on the dishonored note plus interest for 30 days at \(12 \%\) on the total amount charged to Rhodes Company on July \(31 .\)

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