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Determination of spread
Daily interest rate = 5.11/ 365 = 0.014% per day
Variance of cash flows = 1000 × 1000 = $1000000 per day
Transaction cost = $18 per transaction
Spread = 3 * ((0.75 * transaction cost * variance)/interest rate) 1/3 = 3 * ((0.75 * 18 * 1000000)/ 0.00014)1/3 = 3 * 4585.7 = $13757
Lower limit (set by Renpec Co) = $7500
Upper limit = 7500 + 13757 =$21257
Return point = 7500 + (13757/ 3) = $12086
The Miller-Orr model takes account of improbability in relation to receipts and payment. The cash balance of Renpec Co is permitted to differ between the lower and upper limits calculated by the model. If the lower limit is arrive at an amount of cash equal to the difference between the return point and the lower limit is raised by selling short-term investments. If the upper limit is arrive at an amount of cash equal to the difference between the upper limit and the return point is used to buy short-term investments. The model thus helps Renpec Co to decrease the risk of running out of cash while avoiding the loss of profit caused by having unnecessarily high cash balances.
A company is expected to pay a dividend of D1 = $1.25 per share at the last of the year, and that dividend is expected to grow at a constant rate of 6.00% per year in the future.
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