Question

City Farm Insurance has collection centers across the country to speed up collections. The company also makes its disbursements from remote disbursement centers so the firm's checks will take longer to clear the bank. Collection time has been reduced by two and one-half days and disbursement time increased by one and one-half days because of these policies. Excess funds are being invested in short-term instruments yielding 5 percent per annum.

a. If City Farm has $4.90 million per day in collections and $3.90 million per day in disbursements, how many dollars has the cash management system freed up?

b. How much can City Farm earn in dollars per year on short-term investments made possible by the freed-up cash?

Answer 1

a. $18,100,000

b. $905,000

Step-by-step explanation:

The computations are shown below:

a. The number of dollars for the cash management system freed up is

= Per day in collections × reduced days + Per day in disbursements × increased days

= $4.90 million × 2.5 days + $3.90 million × 1.5 days

= $12,250,000 + $5,850,000

= $18,100,000

b. The interest income is

= Number of dollars for the cash management system freed up × interest rate per annum

= $18,100,000 × 0.05

= $905,000