Question

Optimal Cash Transfer Barenbaum Industries projects that cash outlays of $4.7 million will occur uniformly throughout the year. Barenbaum plans to meet its cash requirements by periodically selling marketable securities from its portfolio. The firm's marketable securities are invested to earn 12 % , and the cost per transaction of converting securities to cash is $29. Assume a 365-day year. a. Use the Baumol model to determine the optimal transaction size for transfers from marketable securities to cash. Do not round intermediate calculations. Round your answer to the nearest dollar. c= $ b. What will be Barenbaum's average cash balance? Do not round intermediate calculations. Round your answer to the nearest dollar. $ C. How many transfers per year will be required? Do not round intermediate calculations. Round your answer to the nearest whole number. transfers per year d. What will be Barenbaum's total annual cost of maintaining cash balances? Do not round intermediate calculations. Round your answer to the nearest dollar. $ What would the total cost be if the company maintained an average cash balance of $60,000? Do not round intermediate calculations. Round your answer to the nearest dollar. $ What would the total cost be if the company maintained an average cash balance of $0 (it deposits funds daily to meet cash requirements)? Do not round intermediate calculations. Round your answer to the nearest dollar.

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Answer 1

William Jo Beumel's Gronomica Oddess Guantity Modeli (1152). → States that optimum cash level is where total oudering I costs and carrying costs all minimum Optimum Cash Balance (o)s / 20x/s U= Annual cash disbursement . se opustunity coste pe wit (p.a) . P= cost peer transaction ca). Oprimal transaction Size () - 42x4, 700,000K 299/0.12 = $ 47,662 | <b). Formula for average cash balance under Baumel's model :- Average Balamu - cl2 = optimum Barlame 12. = $47,62/2 - $23,831. (d). Total Annual cost of maintaining cash balanes:- Formula:- Px [uc] + 5x°(412) ps fined cost per tamsaction ef2 - Aug. balaure Total cast = $29 x 4,70q0oole 7+ 147,662 0.12 x 4 2 2859.72 Ct) 2859.72 = $5,720 (At optimum Batanu Cartezing cost equals aldesing ust). C10-Total cost when aveage cash Balcune = $69.000 - optimum Balawe (5) - Avecage CX) 2 - $60cgX2 - $1201000. Then transaction cost = 4, 100.1000 100.000 * $29 = $11364 t.c carrying cast - 60.000 $ x 0.12_ - $7200 $8336 caset> whes Average Balance - $o. i Daily Cash need a 4. pepco (245days = 12987100) y Total | Thung transaction cost = 4g Tropo 12,707 * $29= $19,585 cost carrying cast = 12,678 o (no carrying). 19/565

©). No.of transaction nuded at optimum Balame ase:- → 49 1001000 $ / 47,667$ = 96.61 ~ 99 transactious. Formula - Annual need (%) optimum balance.