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ACP and Accounts Receivable Kyoto Joe, Inc., sells earnings forecasts for Japanese securities. Its credit terms are \(3 / 10\), net \(30 .\) Based on experience, 60 percent of all customers will take the discount. a. What is the average collection period for Kyoto Joe? b. If Kyoto Joe sells 1,200 forecasts every month at a price of \(\$ 2,200\) each, what is its average balance sheet amount in accounts receivable?

Short Answer

Expert verified
The average collection period for Kyoto Joe, Inc., is 18 days. The average balance sheet amount in accounts receivable for Kyoto Joe, Inc., is $1,584,000.

Step by step solution

01

1. Determine daily average percentages

First, let's determine the daily average percentage of customers who take the discount and those who don't. We will use the fact that 60% of customers will take the discount. Percentage of customers taking discount: 60% Percentage of customers not taking discount: 100% - 60% = 40%
02

2. Calculate the average collection period

Now let's calculate the average collection period using the percentage of customers taking and not taking the discount, along with the credit terms \(3/10\), net \(30\). Customers taking discount pay in 10 days: \(0.60 * 10 = 6\) Customers not taking discount pay in 30 days: \(0.40 * 30 = 12\) Average collection period (ACP) = days paid by customers taking discount + days paid by customers not taking discount ACP = 6 + 12 = 18 days
03

a. Answer to part (a)

The average collection period for Kyoto Joe, Inc., is 18 days.
04

3. Calculate total monthly sales

Next, let's calculate the total monthly sales for Kyoto Joe, Inc. They sell 1,200 forecasts every month at a price of $2,200 each. Total monthly sales = number of forecasts * price per forecast Total monthly sales = 1,200 * \(2,200 = \)2,640,000
05

4. Calculate the average balance sheet amount in accounts receivable

Now let's calculate the average balance sheet amount in accounts receivable using the total monthly sales and the average collection period. Avg. daily sales = total monthly sales / 30 days Avg. daily sales = \(2,640,000 / 30 = \)88,000 The average balance sheet amount in accounts receivable is calculated as the product of the average daily sales and the average collection period. Accounts receivable = avg. daily sales * ACP Accounts receivable = \(88,000 * 18 = \)1,584,000
06

b. Answer to part (b)

The average balance sheet amount in accounts receivable for Kyoto Joe, Inc., is $1,584,000.

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Key Concepts

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

Credit Terms
Credit terms specify the conditions under which credit is extended and must be paid back. For Kyoto Joe, Inc., the credit terms are expressed as \(3/10, \text{ net } 30\). This means customers can receive a 3% discount if they pay within 10 days, otherwise, the full invoice amount is due within 30 days. This structure provides incentives for early payment, potentially increasing cash flow. When analyzing credit terms, consider the benefits for both customer and seller:
  • Customers receive cost savings from discounts when paying early.
  • Sellers accelerate cash collections by offering these incentives.
Understanding these terms helps businesses manage cash flow effectively and maintain good customer relationships.
Keep in mind, not all customers will take advantage of discounts, as shown in the case of Kyoto Joe where only 60% do.
Average Collection Period
The average collection period (ACP) measures the average time taken to collect payments from customers. For Kyoto Joe, this is calculated by considering both groups of customers: those who take the discount and those who don't. Given the credit terms, we know:
  • 60% of customers pay within 10 days.
  • 40% of customers pay within the standard period of 30 days.
To compute the ACP, weigh the payment days accordingly:
  • Customers taking the discount: \(0.60 \times 10 = 6\) days.
  • Customers not taking the discount: \(0.40 \times 30 = 12\) days.
Adding these gives an ACP of 18 days. This period reflects how effectively a company manages credit and collections, influencing its liquidity.
The shorter the ACP, the quicker a company collects cash, supporting immediate operational needs.
Accounts Receivable Calculation
Accounts receivable reflect the outstanding invoices a company expects to collect. They're crucial for understanding cash flow. To find the average accounts receivable for Kyoto Joe, we start with their total monthly sales. Kyoto Joe sells 1,200 forecasts at \\(2,200 each, totaling \\)2,640,000 in monthly sales.
To calculate the daily sales average, divide the monthly sales by 30 days:
  • \(\text{Avg. daily sales} = \frac{2,640,000}{30} = 88,000\)
Then, use the average collection period to find the average accounts receivable:
  • Accounts Receivable = \(88,000 \times 18 = 1,584,000\)
This calculation shows the expected amount on the balance sheet at any time due to outstanding invoices. Managing the accounts receivable balance is key to maintaining strong liquidity and financial health.

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Most popular questions from this chapter

EOQ The Trektronics store begins each week with 170 phasers in stock. This stock is depleted each week and reordered. If the carrying cost per phaser is \(\$ 45\) per year and the fixed order cost is \(\$ 48,\) what is the total carrying cost? What is the restocking cost? Should Trektronics increase or decrease its order size? Describe an optimal inventory policy for Trektronics in terms of order size and order frequency.

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EOQ Clapper Manufacturing uses 2,000 switch assemblies per week and then reorders another 2,000 . If the relevant carrying cost per switch assembly is \(\$ 40\) and the fixed order cost is \(\$ 1,100\), is Clapper's inventory policy optimal? Why or why not?

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