For a short-term financial plan for the coming year, The projected sales forecasts for the next five quarters are, respectively, $210m, $180m, $245m,…

For a short-term financial plan for the coming year, The projected sales forecasts for the next five quarters are, respectively, $210m, $180m, $245m, $280m, and $240m. The firm sells on credit and takes, on average, 30 days to collect from its customers; $68m in receivables are currently outstanding. Also, the firm orders a quarter in advance on credit— purchases in a given quarter is 60% of next quarter’s sales and the firm typically takes 50 days to pay its suppliers. Quarterly selling, general, and administrative expenses are estimated to be 25% of corresponding quarterly sales, and the firm expects to pay quarterly dividends of $12m. The purchasing manager plans to acquire a high-performance machine in the second quarter for $160m. 

The firm would like to maintain a consistent cash balance of $10m in a non-interest bearing bank account. Although it currently has $64m in cash, it would like to redirect excess cash to short-term money market investments. Shortfalls, should they occur, are to be financed to achieve the target cash balance as well. 90-day commercial paper with a face value of $100,000 is selling at $98,814 and Treasury bills of a similar maturity are selling at 99.11% of par value; yields of both instruments are expected to remain stable over time. The firm has a $400m line of credit with a quoted quarterly rate of 1.6% and a compensating balance of 5%, which should be sufficient for its short-term financing needs. However, it also has the option to factor its receivables at a 1.5% discount. 

(a) Compare the yields on the 90-day commercial paper and Treasury bill. In which money market instrument should the firm invest its cash surpluses, assuming yield is the only consideration?  

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(b) Compare the effective rate for the line of credit and the factoring of receivables. Which is the less costly option for the firm to finance its cash deficits? 

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