Veggie Burgers, Inc., would like to maintain its cash account at a minimum level
ID: 2654419 • Letter: V
Question
Veggie Burgers, Inc., would like to maintain its cash account at a minimum level of $263,000 but expects the standard deviation in net daily cash flows to be $13,800, the effective annual rate on marketable securities to be 3.9 percent per year, and the trading cost per sale or purchase of marketable securities to be $36.50 per transaction.
What will be its optimal cash return point? (Use 365 days a year. Do not round intermediate calculations and round your answer to 2 decimal places.)
Optimal cash return point $
Please show work.
Explanation / Answer
Answer
Note : I have not given answer for this question previously.
The standard deviation in net daily cash flows to be $13,800 So variance will be $ 190,440,000 [ i.e. (13,800)2 ].
The effective annual rate on marketable securities to be 3.9 percent per year. So the effective daily rate on marketable securities will be 0.010685 % (3.9% / 365 days).
Spread = , Variance and interest rates should be expressed in daily terms.
= 3*(3/4 * 36.50 *190,440,000 / 0.00010685)1/3
= $ 109622.70
Return point = Lower limit + (1/3 × spread)
= 263,000 + (109622.70*1/3)
= 263,000 + 36540.90
=$ 299540.90
Answer : Optimal cash return point is $ 299540.90
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