If you borrow \(5,300 at \)400 interest for one year, what is your effective interest rate for the following payment plans?

a. Annual payment.

Short Answer

Expert verified

The effective interest rate is 7.55%.

Step by step solution

01

Information provided in the question

Loan amount = $5,300

Loan term = 1 year

Interest = $400

Number of payments = 1

02

Calculation of effective interest rate on the instalment loan

The effective interest rate on an instalment loan is 7.55%.

Effectiverate=2×Annualnumberofpayments×InterestTotalnumberofpayments+1×Principal=2×1×$4001+1×$5,300=$800$10,600=7.55%

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Most popular questions from this chapter

Esquire Products Inc. expects the following monthly sales:

January

\(28,000

February

\)19,000

March

\(12,000

April

\)14,000

May

\(8,000

June

\)6,000

July

\(22,000

August

\)26,000

September

\(29,000

October

\)34,000

November

\(42,000

December

\)24,000

Total annual sales

\(264,000

Cash sales are 40 percent in a given month, with the remainder going into accounts receivable. All receivables are collected in the month following the sale. Esquire sells all of its goods for \)2 each and produces them for \(1 each. Esquire uses level production, and average monthly production is equal to annual production divided by 12.

d. Construct a cash budget for January through December using the cash receipts schedule from part b and the cash payments schedule from part c. The beginning cash balance is \)3,000, which is also the minimum desired.

Guardian Inc. is trying to develop an asset financing plan. The firm has \(400,000 in temporary current assets and \)300,000 in permanent current assets. Guardian also has $500,000 in fixed assets. Assume a tax rate of 40 percent.

c. What would happen if the short- and long-term rates were reversed?

Orbital Communications has operating plants in over 100 countries. It also keeps funds for transactions purposes in many foreign countries. Assume in 2010 it held 150,000 kronas in Norway worth \(40,000. The funds drew 13 percent interest, and the krona increased 6 percent against the dollar. What is the value of the holdings, based on U.S. dollars, at year-end?

(Hint: Multiply \)40,000 times 1.13 and then multiply the resulting value by 106 percent.)

Assume that Hogan Surgical Instruments Co. has \(2,500,000 in assets. If it goes with a low-liquidity plan for the assets, it can earn a return of 18 percent, but with a high-liquidity plan, the return will be 14 percent. If the firm goes with a short-term financing plan, the financing costs on the \)2,500,000 will be 10 percent, and with a long-term financing plan, the financing costs on the $2,500,000 will be 12 percent. (Review Table 6-11 for parts a, b, and c of this problem.)

a. Compute the anticipated return after financing costs with the most aggressive asset financing mix.

b. Compute the anticipated return after financing costs with the most conservative asset financing mix.

c. Compute the anticipated return after financing costs with the two moderate approaches to the asset financing mix.

d. Would you necessarily accept the plan with the highest return after financing costs? Briefly explain.

By using long-term financing to finance part of temporary current assets, a firm may have less risk but lower returns than a firm with a normal financing plan. Explain the significance of this statement.

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