Paradise Retailers, Inc. (PRI) determined that $1,500,000 is needed for cash transactions made during the next year. Each time PRI deposits money in its checking account, a charge of $12.95 is assessed to cover clerical costs. If PRI can hold marketable securities that yield 4.5%, and then convert these securities to cash at a cost of only the $12.95 deposit charge, what is the optimal cash amount C* to transfer from marketable securities to the checking account according to the Baumol Model?

Paradise Retailers, Inc. (PRI) determined that $1,500,000 is needed for cash transactions made during the next year. Each time PRI deposits money in its checking account, a charge of $12.95 is assessed to cover clerical costs. If PRI can hold marketable securities that yield 4.5%, and then convert these securities to cash at a cost of only the $12.95 deposit charge, what is the optimal cash amount C* to transfer from marketable securities to the checking account according to the Baumol Model?

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter17: The Management Of Cash And Marketable Securities

Section: Chapter Questions

Problem 2P

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a. Paradise Retailers, Inc. (PRI) determined that $1,500,000 is needed for cash transactions made during the next year. Each time PRI deposits money in its checking account, a charge of $12.95 is assessed to cover clerical costs. PRI can hold marketable securities that yield 4.5%, and then convert these securities to cash at a cost of only the $12.95 deposit charge. Optimal Cash Amount = 29382.53 PRI’s financial managers have not been following the Baumol Model. Instead, they have been transferring cash from marketable securities less frequently, namely, transferring cash every three weeks. What total cash cost including holding costs and transactions costs could PRI save by transferring the optimal cash amount C* rather than this larger transfer amount?
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