Problem 30 - Accounting

Question

The Limited, Inc., sells women's and men's clothing through specialty retail stores. The Limited sells women's intimate apparel and personal care products through Victoria's Secret and Bath \& Body Works stores. The Limited reported the following (in millions): \begin{tabular}{lcc} & \multicolumn{2}{c}{ For the Period Ending } \\ \cline { 2 - 3 } & Feb. 3, 2007 & Jan. 28, 2006 \\ \hline Net sales & \(\$ 10,671\) & \(\$ 9,699\) \\ Accounts receivable & 176 & 182 \end{tabular} Assume that accounts receivable (in millions) were \(\$ 128\) on January 29, \(2005 .\) a. Compute the accounts receivable turnover for 2007 and 2006. Round to one decimal place. b. Compute the day's sales in receivables for 2007 and 2006. Round to one decimal place. c. What conclusions can be drawn from these analyses regarding The Limited's efficiency in collecting receivables?

Step-by-Step Solution

Answer

The Limited's receivables collection was more efficient in 2006 than in 2007, as indicated by higher turnover and shorter days sales in receivables in 2006.

Step 1: Calculate Average Accounts Receivable for Both Years

To compute the accounts receivable turnover, we first need the average accounts receivable for each year. Average accounts receivable for 2007: \[ \text{Average Accounts Receivable}_{2007} = \frac{\text{Accounts Receivable on Feb. 3, 2007} + \text{Accounts Receivable on Jan. 28, 2006}}{2} = \frac{176 + 182}{2} = 179 \text{ million} \]Average accounts receivable for 2006: \[ \text{Average Accounts Receivable}_{2006} = \frac{\text{Accounts Receivable on Jan. 28, 2006} + \text{Accounts Receivable on Jan. 29, 2005}}{2} = \frac{182 + 128}{2} = 155 \text{ million} \]

Step 2: Calculate Accounts Receivable Turnover for Both Years

Now, compute the accounts receivable turnover for each year using the formula:\[ \text{Accounts Receivable Turnover} = \frac{\text{Net Sales}}{\text{Average Accounts Receivable}} \]For 2007:\[ \text{Accounts Receivable Turnover}_{2007} = \frac{10,671}{179} \approx 59.6 \]For 2006:\[ \text{Accounts Receivable Turnover}_{2006} = \frac{9,699}{155} \approx 62.6 \]

Step 3: Calculate Days Sales in Receivables for Both Years

Days sales in receivables can be calculated with:\[ \text{Days Sales in Receivables} = \frac{365}{\text{Accounts Receivable Turnover}} \]For 2007:\[ \text{Days Sales in Receivables}_{2007} = \frac{365}{59.6} \approx 6.1 \text{ days} \]For 2006:\[ \text{Days Sales in Receivables}_{2006} = \frac{365}{62.6} \approx 5.8 \text{ days} \]

Step 4: Analyze the Results

In comparing the efficiency of receivables collection over the two years, The Limited appears to be less efficient in 2007 than in 2006. This is evidenced by a lower accounts receivable turnover rate and higher days sales in receivables in 2007, suggesting a slower collection period.

Key Concepts

Days Sales in Receivables

One of the fundamental concepts for assessing a company's efficiency in managing its receivables is called "Days Sales in Receivables," also known as the collection period. It is a financial metric that indicates the average number of days it takes for a company to collect payments from its customers after making a sale.

This metric is crucial because it directly reflects the effectiveness of a company's credit policies and cash flow management. A shorter number of days typically suggests quicker collection and better liquidity, while a longer duration might indicate potential challenges in gathering payments.

The formula to calculate Days Sales in Receivables is:
\[ \text{Days Sales in Receivables} = \frac{365}{\text{Accounts Receivable Turnover}} \]

For example, in 2007, the Limited, Inc., had a Days Sales in Receivables of approximately 6.1 days, which is slightly longer than the 5.8 days recorded in 2006. This suggests that in 2007, it took the company a bit longer to collect its receivables, indicating a slight decline in collection efficiency compared to the previous year.

Efficiency Analysis

Conducting an efficiency analysis is a crucial practice for any business looking to evaluate its operational performance, particularly in managing accounts receivables. This analysis involves scrutinizing how effectively a company turns its accounts receivable, which represents the credit sales that are yet to be paid by customers, into cash.

A key figure in efficiency analysis is the "Accounts Receivable Turnover," a ratio that shows how many times a company's receivables are converted into cash over a specific period. In simpler terms, it tells us how quickly customers are paying off their debts. The higher the turnover ratio, the more efficiently a company is collecting its receivables.

The formula to compute this ratio is:
\[ \text{Accounts Receivable Turnover} = \frac{\text{Net Sales}}{\text{Average Accounts Receivable}} \]

In 2007, The Limited, Inc., had a turnover of approximately 59.6 times, compared to 62.6 times in 2006. This decrease implies that the company was slightly less efficient in collecting its debts in 2007. Efficient receivables management ensures good cash flow and reduces the risk of bad debts, forming the basis for healthy business operations.

Financial Analysis

Financial analysis provides a comprehensive overview of a company's financial health by examining various financial metrics, such as the Accounts Receivable Turnover and Days Sales in Receivables. These metrics aim to analyze liquidity, operational efficiency, and overall financial performance.

Proper financial analysis helps businesses understand patterns and trends in their operations, which is essential for strategic planning and decision-making. It enables the identification of inefficiencies, better cash flow management, and improved strategic direction to boost profitability.

In the context of The Limited, Inc., comparing the financial metrics over two consecutive years allows analysts to assess the company's trend in efficiently managing its receivables and how this impacts the broader financial picture.

For instance, with a slight decrease in turnover and an increase in Days Sales in Receivables in 2007 compared to 2006, The Limited might explore ways to enhance credit policies or improve collection processes. Such insights are invaluable for maintaining financial health, ensuring liquidity, and supporting sustainable growth.