24. Arshadi Wineries is considering the purchase of lockbox services from First
ID: 2795289 • Letter: 2
Question
24. Arshadi Wineries is considering the purchase of lockbox services from First Bancorp. Currently, it takes 6 days to collect funds from customers; this would be reduced by 2 days with the lockbox system. The average number of payments received per day is 300 and the average check size is $150. First Bancorp will charge 5c per check in return for operating the lockbox system. Assume one-year T-bills yield 5%, and use a 360-day year (i) Calculate the daily rate of return. (ii) Should Arshadi Wineries purchase the system (i.e., is its NPV greater than 0?) (iii) What is the maximum acceptable cost per check that Arshadi Wineries could pay and still find the system acceptable? 25. Cindy's Toys has an average cash balance of $18.000 (-C/2) opportunity cost of carrying cash is 5%. Cindy replenishes with S36.000 (-c ) on the first of each month and the order cost is $25 (So, total cash needs for the year C x 12 432000) (i) What are the total carrying (opportunity) costs under the current system? (ii) What are the total replenishment costs under the current system (C)? (ii) By looking at the results from parts (i) and (ii) above, state, in one, very short sentence, whether the firm is replenishing cash balances optimally. If not, find the firms optimal cash replenishment amount(C*) (iv) What are the costs savings (i.e. the difference between the total (carrying and replenishing) costs using the current system and total costs using C? (v)When the firm replenishes cash optimally, how many times a year would it replenish? How frequently would it replenish (every 20 days, or 30 days, etc.)? 26. Your firm's management of its cash position is based on weekely standard deviation of the disbursements is $8.600. The applicable weekly interest rate is 0.054 percent and the fixed cost of transferring funds is $65. Suppose your firm's target cash balance, C* 68,830 (G) What lower cash balance limit (L) is consistent with this information. (ii) Find U*, the firm's implied maximum cash balance limit. the Miller-Orm model. The (ii) Find your firm's average cash balance held over time (iv)Using your answer to part (ii, find the average dollar cost incurred by the firm from holding cash over a two-week period.Explanation / Answer
Evaluation Of lockbox system:
Particulars
Amount
payments collected (300*360
108000
Commission per payment collected
0.05
Total Commission(108000*.05)
5400
Amount Received Per Day (300*150)
45000
Previous collection period
6 days
Collection period under lockbox service
2 days
Amount received early for
4 days
Amount for our use early (45000*4)
180000
Interest rate
5%
Interest saved on early receipt(180000*5%)
9000
NPV (interest saved-commission)
3600
Calculation Of Cost per check:
Particulars
Amount
Total Checks per day
300
Days
360
Per year cheks
108000
Interest saved
9000
it can pay maximum up to $9000 total
maximum per check(9000/108000)
8.33 cent
Particulars
Amount
payments collected (300*360
108000
Commission per payment collected
0.05
Total Commission(108000*.05)
5400
Amount Received Per Day (300*150)
45000
Previous collection period
6 days
Collection period under lockbox service
2 days
Amount received early for
4 days
Amount for our use early (45000*4)
180000
Interest rate
5%
Interest saved on early receipt(180000*5%)
9000
NPV (interest saved-commission)
3600
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