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Working capital question Annual sales in $9000000 Gross profit margin 15% purchase equal to 90% of...

Working capital question

Annual sales in $9000000 Gross

profit margin 15%

purchase equal to 90% of cost of goods sold Terms extended by company to customers are wire in advance (COD)

Company turns over its inventory 5x per year Terms extended by suppliers are 1/10/45; permit payment in 75

Company's cost of capital is 7%

Calculate the Investment amount required for working capital needs.

So far i have solved this, but I can't figure out the rest

Area Avg Daily

Days invested

Work capital needed
Inventory 29,588 73 2,159,924
AR 32876 ? ?
AP 26,629 (75) (1,997,175)

Please help.

Solutions

Expert Solution

Area Avg Daily Days invested Work capital needed
A Inventory 29,588 73 2,159,924
B AR 32876 0 $0
C AP 26,629 -75 -1,997,175
D=A+B+C Working Capital Required
Sales Terms=COD (Cash On Delivery)
Accounts Receivable=Zero
There apprearsto be some errors in your calculation.
Calculation of Working capital need given below:
Annual
Sales $9,000,000
Coat of goods sold $7,650,000 (1-0.15)*9000000
Purchase $6,885,000 (0.9*7650000)
Inventory Required $1,530,000 (7650000/5)
Payment term for purchase 1% discount if payment made in 10days
Full Payment in 45days
permit payment in 75 days
For Purchaseof $100 Pay $99 in 10days
or pay $100 in 75days
Saving of $1 if paid 65 days in dvance
Cost of Capital =7% 0.012465753
$99 in 65 days at 7%= 100.2341096 (99*(1+(0.07*(65/365)))
It is greater than $100
Hence, it will be economical not to take discount and pay in 75 days
Accounts Payable (6885000/365)*75 $                                     1,414,726
Accounts Receivable $0
Working Capital Need $115,274 (1530000-1414726)

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