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nadya68 [22]
4 years ago
11

Double West Suppliers (DWS) reported sales for the year of $400,000, all on credit. The average gross profit percentage was 35 p

ercent on sales. Account balances follow:
Beginning Ending
Accounts receivable (net) $ 51,000 $ 61,000
Inventory 67,000 46,000
Required:
1. Compute the following turnover ratios. (Round your answers to 1 decimal place.)
2. By dividing 365 by your ratios from requirement 1, calculate the average days to collect receivables and the average days to sell inventory. (Use 365 days in a year. Do not round intermediate calculations. Round turnover ratio calculation and final answers to 1 decimal place.)
Business
1 answer:
erastovalidia [21]4 years ago
6 0

Answer:

1. Accounts Receivables Turnover Ratio = Net Credit Sales/Average Accounts Receivables = 400,000 / (51000 + 61000)/2

= 400,000/56,000

= 7.1 times

Inventory Turnover Ratio = Cost of Goods Sold/Average Inventory = (Sales-Gross Profit)/Average Inventory = (400,000 - 35% * 400,000) / (67000 + 46000)/2

=400,000 - 140,000 / 56,500

= 260,000 / 56,500

= 4.6 times

2. Average Days to Collect Receivables = 365/7.1 = 51.40 or 52 days

Average Days to Collect Inventory = 365/4.6 = 79.34 days

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Answer:

  • The complete present value calcuation is below.

  • The net present value of this project is: $77,930.58 (assuming a value for the sale of the business equal to the purchase price).

Explanation:

For this problem, the first and basic question is:

  • <em>Prepare a net present value calculation for this project. What is the net present value of this project?</em>

<em />

<h2>Solution</h2>

The net present value is equal to: the present value of the future cash flows less present value of the investements.

<u>1. Present value of the future cash flows:</u>

The discount factor is equal to 1 / [1 + (1 + r)ⁿ]

Where:

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Year     Cash flow     Discount factor     Present value

1            $30,000       1/(1 + 0.05)             $30,000/1.05 = $28,571.43

2           $30,000       1/(1 + 0.05)²           $30,000/(1.05)² = $27,210.88

3           $30,000       1/(1 + 0.05)³           $30,000/(1.05)³ = $25,915.13

4           $30,000       1/(1 + 0.05)⁴           $30,000/(1.05)⁴ = $24,681.07

5           $30,000       1/(1 + 0.05)⁵           $30,000/(1.05)⁵ = $23,505.78

5           $240,000*   1/(1 + 0.05)⁵           $240,000/(1.05)⁵ = $188,046.28

*For the year 5 you must also consider the value of the business, which is unknow. You should have some information about it. Although unrealistic, at this stage we can just assume a value: let's say it is the same purchase price: $240,000. That is what the last line shows:

The discount the value of the value of the business is:

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The total present value of the future cash flows is the sum of the present values of all the cash flows:

$28,571.43 + $27,210.88 + $25,915.13 + $24,681.07 + $23,505.78 + $188,046.28 = $317,930.58

<u>2. Calculate the net present value:</u>

  • Net present value =

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  • Net present value = $317,930.58 - $240,000 = $77,930.58
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