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A large retailer obtains merchandise under the credit terms of \(1 / 15,\) net \(45,\) but routinely takes 60 days to pay its bills. Given that the retailer is an important customer, suppliers allow the firm to stretch its credit terms. What is the retailer's effective cost of trade credit?

Short Answer

Expert verified
The retailer's effective cost of trade credit is approximately 8.3%.

Step by step solution

01

Understand the Credit Terms

The credit terms are \(1/15, \text{net } 45\). This means the retailer can take a 1% discount if the invoice is paid within 15 days. Otherwise, the full amount is due in 45 days.
02

Determine the Discount Percentage and Discount Period

The discount percentage is 1% (or 0.01 as a decimal), and the discount period is 15 days.
03

Identify the Payment Period

The retailer, however, pays after 60 days.
04

Calculate the Forgone Discount

By not paying within 15 days, the retailer forgoes a 1% discount to pay anytime between 15 and 45 days. Since the retailer pays on day 60, compute the cost of this deferral.
05

Calculate the Deferral of Payment Period Beyond Discount Period

The payment is made after 60 days, when it could have been paid within 15 days, thus the deferral period is \(60 - 15 = 45\) days.
06

Calculate the Number of Deferral Periods per Year

Assume a year has 360 days (an approximation commonly used in finance). The number of 45-day periods in a year is 360/45 = 8 periods.
07

Calculate the Effective Annual Cost of Forgone Trade Credit

The effective annual cost (EAC) of not taking the discount can be calculated using the formula: \[ EAC = \left(1 + \frac{Discount \, ext{Percentage}}{1 - Discount \, ext{Percentage}}\right)^n - 1 \] where \(n\) is the number of periods per year. Plug in the values: \[ EAC = \left(1 + \frac{0.01}{1 - 0.01}\right)^8 - 1 \approx 0.083 \text{ or } 8.3\%\].

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Key Concepts

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

Effective Cost of Trade Credit
To fully grasp the concept of the effective cost of trade credit, think of it as the hidden cost you pay for not taking advantage of a supplier's early payment discount. This is crucial because it allows businesses to see the true cost of their financing choices. When a retailer, like in our exercise, misses out on a 1% discount because they pay after 60 days instead of within 15, they incur a cost.
Calculating this cost involves determining how many times a retailer misses the discount opportunity over a year. We understand this by dividing the number of annual days (360 for simplicity in financial calculations) by the days in a "deferral period," which is the difference between paying early with the discount and actual payment. In this exercise, they miss this discount eight times a year.
To figure out the effective cost percentage, we use the formula: \[ EAC = \left(1 + \frac{Discount \text{ Percentage}}{1 - Discount \text{ Percentage}}\right)^n - 1\] where \( n \) represents the number of cycles missed in a year. This formula helps businesses compare the cost of missing the discount to other short-term borrowing options, making it a handy tool for financial management.
Credit Terms Analysis
Analyzing credit terms is a vital part of financial management that allows businesses to make informed decisions about their payment schedules. In our textbook exercise, we have credit terms of \(1 / 15, \text{ net } 45\).
These terms signify two critical components: the discount offer and the full payment deadline. By offering a 1% discount for payments within 15 days, the supplier incentivizes the retailer to pay early. Otherwise, the full invoice amount is due in 45 days.
However, the retailer in this case chooses to pay on day 60, breaching the agreed terms with suppliers. While this might seem beneficial for immediate cash flow, it actually incurs a hidden cost. A cost calculated by the forgone discount due to delayed payment, reflecting an expensive "borrowing" from the supplier.
Businesses often analyze these terms against their cash cycle and available funding to determine whether taking the discount is more beneficial than other financing methods. Moreover, frequently missing supplier deadlines can strain business relationships, highlighting the importance of timely analysis and strategic decisions.
Financial Management
Effective financial management in business revolves around making strategic decisions about when and how to use a company's financial resources. Trade credit plays a significant role in this process, offering both opportunities and challenges.
From our exercise, paying after the grace period instead of using the early payment discount, acts as a form of short-term credit. It's a double-edged sword, though. While it might protect cash flow temporarily, it can lead to higher costs in the form of missed discounts or late fees.
Financial managers balance these outcomes to ensure optimal resource use. They consider alternative financing costs and profit margins to determine whether stretching credit terms benefits or hinders their operations.
Managing these decisions also involves maintaining good supplier relationships. Suppliers might allow some flexibility, as seen in our retailer's case, because of the retailer's importance as a customer. However, businesses risk damaging these relationships if late payments become a habit, potentially leading to stricter credit terms in the future.

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Most popular questions from this chapter

The Christie Corporation is trying to determine the effect of its inventory turnover ratio and days sales outstanding (DSO) on its cash flow cycle. Christie's 2001 sales (all) on credit) were \(\$ 150,000,\) and it earned a net profit of 6 percent, or \(\$ 9,000 .\) It turned over its inventory 5 times during the year, and its DSO was 36.5 days. The firm had fixed assets totaling \(\$ 35,000\). Christie's payables deferral period is 40 days. a. Calculate Christie's cash conversion cycle. b. Assuming Christie holds negligible amounts of cash and marketable securities, calculate its total assets turnover and ROA. c. Suppose Christie's managers believe that the inventory turnover can be raised to 7.3 times. What would Christie's cash conversion cycle, total assets turnover, and ROA have been if the inventory turnover had been 7.3 for 2001 ?

Williams \& Sons last year reported sales of \(\$ 10\) million and an inventory turnover ratio of \(2 .\) The company is now adopting a new inventory system. If the new system is able to reduce the firm's inventory level and increase the firm's inventory turnover ratio to 5 while maintaining the same level of sales, how much cash will be freed up?

A chain of appliance stores, APP Corporation, purchases inventory with a net price of \(\$ 500,000\) each day. The company purchases the inventory under the credit terms of \(2 / 15,\) net \(40 .\) APP always takes the discount, but takes the full 15 days to pay its bills. What is the average accounts payable for APP?

Suncoast Boats Inc. estimates that because of the seasonal nature of its business, it will require an additional \(\$ 2\) million of cash for the month of July. Suncoast Boats has the following 4 options available for raising the needed funds (1) Establish a 1-year line of credit for \(\$ 2\) million with a commercial bank. The commitment fee will be 0.5 percent per year on the unused portion, and the interest charge on the used funds will be 11 percent per annum. Assume that the funds are needed only in July, and that there are 30 days in July and 365 days in the year. (2) Forgo the trade discount of \(2 / 10\), net \(40,\) on \(\$ 2\) million of purchases during July. (3) Issue \(\$ 2\) million of 30 -day commercial paper at a 9.5 percent per annum interest rate. The total transactions fee, including the cost of a backup credit line, on using commercial paper is 0.5 percent of the amount of the issue. (4) Issue \(\$ 2\) million of 60 -day commercial paper at a 9 percent per annum interest rate, plus a transactions fee of 0.5 percent. since the funds are required for only 30 days, the excess funds ( \(\$ 2\) million) can be invested in 9.4 percent per annum marketable securities for the month of August. The total transactions cost of purchasing and selling the marketable securities is 0.4 percent of the amount of the issue. a. What is the dollar cost of each financing arrangement? b. Is the source with the lowest expected cost necessarily the one to select? Why or why not?

Dorothy Koehl recently leased space in the Southside Mall and opened a new business, Koehl's Doll Shop. Business has been good, but Koehl has frequently run out of cash. This has necessitated late payment on certain orders, which, in turn, is beginning to cause a problem with suppliers. Koehl plans to borrow from the bank to have cash ready as needed, but first she needs a forecast of just how much she must borrow. Accordingly, she has asked you to prepare a cash budget for the critical period around Christmas, when needs will be especially high. Sales are made on a cash basis only. Koehl's purchases must be paid for during the following month. Koehl pays herself a salary of \(\$ 4,800\) per month, and the rent is \(\$ 2,000\) per month. In addition, she must make a tax payment of \(\$ 12,000\) in December. The current cash on hand (on December 1 ) is \(\$ 400\), but Koehl has agreed to maintain an average bank balance of \(\$ 6,000-\) this is her target cash balance. (Disregard till cash, which is insignificant because Koehl keeps only a small amount on hand in order to lessen the chances of robbery.) " The estimated sales and purchases for December, January, and February are shown below. Purchases during November amounted to \(\$ 140,000\). $$\begin{array}{lcr} & \text { SALES } & \text { PURCHASES } \\ \hline & & \\ \text { December } & \$ 160,000 & \$ 40,000 \\ \text { January } & 40,000 & 40,000 \\ \text { February } & 60,000 & 40,000 \end{array}$$ a. Prepare a cash budget for December, January, and February. b. Now, suppose Koehl were to start selling on a credit basis on December 1 , giving customers 30 days to pay. All customers accept these terms, and all other facts in the problem are unchanged. What would the company's loan requirements be at the end of December in this case? (Hint: The calculations required to answer this question are minimal.)

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