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Working capital management model

A company wants to invest excess cash in 1-month, 3-month and 6-month Certificates of Deposit (CDs). The company has expected uses of cash in the next 6 months, and it wants to make sure that the principal and interest from maturing CDs meet the requirements for cash plus a safety margin for each month. For simplicity we assume that 3-month CDs can only be bought at the start of months 1 and 4, and 6-month CDs can only be bought in month 1. Initial cash available
is $400,000. How many and what kind of CDs should the company buy in order to maximize the earned interest, and meet the safety margin of $100,000 each month?