An entity uses the following formula in determining its optimal level of cash.This formula is a modification of the economic order quantity EOQ formula used for inventory management. Assume that the set of selling marketable securities is US $10 per transaction and the interest rate on marketable securities is 6% per year. The entity estimates that it will make cash payments of US $12.000 over a one-month period.What is the average cash balance rounded to the nearest dollar)?
Answer(s): C
The BOO for inventory is a function of ordering cost per order, inventory demand, and carrying cost. In the cash model, the fixed cost per sale of securities is equivalent to the ordering cost, the demand for cash is similar to the demand for inventory, and the interest rate is effectively the cost of carrying a dollar of cash for the period. Substituting in the formula yields an optimal cash balance of about US $6.928. Thus, the average cash balance is US $3,464 $6,928 - 2).
An entity has daily cash receipts of US $100,000 and collection time of 2 days. A bank has offered to reduce the collection time on the entity's deposits by 2 days for a monthly fee of US $500. If money market rates are expected to average 6% during the year, the net annual benefit loss) from having this service is:
Answer(s): D
If collection time is 2 days, and average daily receipts are US $ 100,000, the average cash balance will increase by I). $200,000 if the bank's system is adopted At a 6% interest rate, US $200,000 will generate US $12,000 of interest revenue annually. The US $500 monthly charge by the bank will result in an annual expense of US $6,000. Thus, the net annual benefit is US $6,000 $12,000 6,000).
The owner of a newly established janitorial entity is deciding what type of checking to open. The entity is planning to keep a US $500 minimum balance in the account for emergencies and plans to write roughly 80 checks per month. The bank charges US $10 per month plus a US $0.10 per check charge for a standard business checking account with no minimum balance. The entity also has the option of a premium business checking account that requires a US $2,500 minimum balance but has no monthly fees or per check charges If the entity's cost of funds is 10%. which account should the entity choose?
The standard account will cost US $10 per month plus US $8 in check charges $.10 x 80 checks), for a total of US $18 per month US $216 per year). The premium account has no check charges. But it will require the depositor to maintain a balance of US $2,000 more than desired. At a 10% cost of capital, the incremental US $2,000 minimum deposit will cost US $200 per year. Thus, the premium account should be selected because it is cheaper by US $16 per year.
A corporation has received proposals from several banks to establish a lockbox system to speed up receipts. The corporation receives an average of 700 checks per day averaging US $1,800 each, and its cost of short-term funds is 7% per year. Assuming that all proposals will produce equivalent processing results and using a 360-day year, which one of the following proposals is optimal for the corporation?
Multiplying 700 checks by 360 days results in a total of US $252,000 checks per year. Accordingly, at a US $0.50 fee per check, total annual cost is US $126,000 $.50 x $252,000), which is less desirable than the US $125,000 flat fee. Given that the annual collections equal US $453,600,000 $1,800 x 700 x 360), a fee of 0.03% of the amount collected is also less desirable because the annual fee would be US $136,080 .03% x $453,600,000). The br:.3 option is therefore to maintain a compensating balance of US $1,750.000 when the cost of funds is 7%, resulting in a total cost of US $122,500 .07 x $1,750,000).
An entity has daily rash receipts of US $300,000 and is interested in acquiring a lockbox service in order to reduce collection time Bank 1's lockbox service cost US $3,000 per month and will reduces collection time by 3 days. Bank 2's lockbox service costs US $5000 per month and will reduce collection time by 4 days. Bank 3's lockbox service cost US $500 per month and will reduce collection time by 4 days. Bank 2's lockbox service costs US $500 per month and will reduce collection time by 4 days. Bank 3's lockbox service cost US $500 per month and will reduce collection time by 1 day. Bank 4's lockbox service cost US $1,000 per month and will reduce collection time by 2 days.If money market rates are expected to average 6% during the year, and the entity wishes to maximize income, which bank should the entity choose?
Because collections made using Bank 4's lockbox service will be accelerated by 2 days at a rate of US $300,000 per day, the entity will have an additional US $600,000 to invest.At a rate of 6%, the interest earned will be US $36,000 per year. However, the bank will charge US $12,000 12 months x $1,000 per month) for its services. Thus, the entity will gain US $24,000 $36,000 - $12.000).
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