Question 19.A.1: Financial Statement Items Often Vary with Sales PROBLEM: Yo...

Financial Statement Items Often Vary with Sales

PROBLEM: You have the following information: (1) sales this year are $50 million; (2) sales are expected to grow by 20 percent next year; and (3) for the current year, accounts receivable are 7 percent of sales and inventory is 10 percent of sales. Your boss has asked you to estimate next year’s sales, accounts receivable, and inventory.
APPROACH: You can rearrange Equation 19.1 to find next year’s sales level (S_ {t+1}). Then, assuming accounts receivable and inventory grow proportionately with sales, you can use the result to calculate the expected levels of accounts receivable and inventory for next year.

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\begin{matrix} \% \Delta S &=& \frac{(S_{t+1}-S_t)}{S_t} &&&&& 19.1 \\ \\ 0.2 &=& \frac{(S_{t+1} – \$50,000,000)}{\$50,000,000} \\ \\ S_{t+1} &=& (0.2 \times \$50,000,000)+\$50,000,000 \\ \\ &=& \$60,000,000 \\ \\ Accounts \ receivable &=& \$60,000,000 \times 0.07 =\$4,200,000 \\  \\ Inventory &=& \$60,000,000 \times 0.10 = \$6,000,000 \end{matrix}

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