Question

Assume that Everyman’s Bookstore uses up cash at a steady rate of $200,000 per year. The...

Assume that Everyman’s Bookstore uses up cash at a steady rate of $200,000 per year. The interest rate is 4% and each sale of securities costs $40.

           

a. How many times a year should the store sell securities? (Round your answer to 2 decimal places.)
b. What is its average cash balance? (Round your answer to the nearest whole dollar.)
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Answer #1

Answer-a:

According to Baumol

C= V2A

C = Optimum cash

A = Annual cash outgoing per annum = $200,000

T = Cost of sale of each securities = $40

I = 4% interest rate

_12X$200,000 $40 4% - 12X$200,000 $40 x100 0.04 = $20,000

Number of times Everyman;s Bookstore sell securities a year = Annual requirement / C = $200,000 / $20,000 = 10

Answer-b:

Average cash balance = $20,000 / 2 = $10,000

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