Russ T. Steele (a AMU engineering major) is thinking of buying a brand new sport utility vehicle for $26,000 today and putting $4000 down through the trade of his existing vehicle. The vehicle loan is for 5 years at an APR of 18% because he currently has a terrible credit rating. If interest is compounded monthly and his payments are monthly, the total interest that Mr. Steele will have paid on the loan if he makes only the monthly payments (no more, no less!), will be approximately equal to a total of: O a. $11,500 O b. $19,500 O c. $15,500 O d. $17,500
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- Now assume that it is several years later. The brothers are concerned about the firm’s current credit terms of net 30, which means that contractors buying building products from the firm are not offered a discount and are supposed to pay the full amount in 30 days. Gross sales are now running $1,000,000 a year, and 80% (by dollar volume) of the firm’s paying customers generally pay the full amount on Day 30; the other 20% pay, on average, on Day 40. Of the firm’s gross sales, 2% ends up as bad-debt losses. The brothers are now considering a change in the firm’s credit policy. The change would entail: (1) changing the credit terms to 2/10, net 20, (2) employing stricter credit standards before granting credit, and (3) enforcing collections with greater vigor than in the past. Thus, cash customers and those paying within 10 days would receive a 2% discount, but all others would have to pay the full amount after only 20 days. The brothers believe the discount would both attract additional customers and encourage some existing customers to purchase more from the firm—after all, the discount amounts to a price reduction. Of course, these customers would take the discount and hence would pay in only 10 days. The net expected result is for sales to increase to $1,100,000; for 60% of the paying customers to take the discount and pay on the 10th day; for 30% to pay the full amount on Day 20; for 10% to pay late on Day 30; and for bad-debt losses to fall from 2% to 1% of gross sales. The firm’s operating cost ratio will remain unchanged at 75%, and its cost of carrying receivables will remain unchanged at 12%. To begin the analysis, describe the four variables that make up a firm’s credit policy and explain how each of them affects sales and collections.Del Hawley, owner of Hawleys Hardware, is negotiating with First City Bank for a 1-year loan of 50,000. First City has offered Hawley the alternatives listed here. Calculate the effective annual interest rate for each alternative. Which alternative has the lowest effective annual interest rate? a. A 12% annual rate on a simple interest loan, with no compensating balance required and interest due at the end of the year b. A 9% annual rate on a simple interest loan, with a 20% compensating balance required and interest due at the end of the year c. An 8.75% annual rate on a discounted loan, with a 15% compensating balance d. Interest figured as 8% of the 50,000 amount, payable at the end of the year, but with the loan amount repayable in monthly installments during the yearShonda & Shonda is a company that does land surveys and engineering consulting. They have an opportunity to purchase new computer equipment that will allow them to render their drawings and surveys much more quickly. The new equipment will cost them an additional $1.200 per month, but they will be able to increase their sales by 10% per year. Their current annual cost and break-even figures are as follows: A. What will be the impact on the break-even point if Shonda & Shonda purchases the new computer? B. What will be the impact on net operating income if Shonda & Shonda purchases the new computer? C. What would be your recommendation to Shonda & Shonda regarding this purchase?
- Tim smith is shopping for a used luxury car. He has found one priced at $27,000. The dealer has told Tim that if he can come up with a down payment of $4,800, the dealer will finance the balance of the price at a 8% annual rate over 3 years (36 months). Assuming that tim accepts the dealer's offer, what will his monthly ( end of month) payment amount be? What will Tim's monthly payment be if the dealer were willing ot finance the balance of the car price at an annual rate of 3.1%?Robert recently borrowed $20,000 to purchase a new car. The car loan is fully amortized over 4 years. In other words, the loan has a fixed monthly payment, and the loan balance will be zero after the final monthly payment is made. The loan has a nominal interest rate of 12 percent with monthly compounding. Looking ahead, Robert thinks there is a chance that he will want to pay off the loan early, after 3 years (36 months). What will be the remaining balance on the loan after he makes the 36th payment?David is borrowing $150,000 from Hartford Bank to open Road and Off-Road Bicycle Shop. David expects it to take a few years before the shop earns a sizeable profit, so he has arranged for no payments on the loan until the end of the fourth year. The first and second payments are due 4 and 5 years, respectively, from today in the amounts of $20,000 each. Starting at the end of year 6, a series of 4 annual end-of-year payments will be made. The first of these is $X. Each subsequent payment is $8,000 greater than the previous payment. Draw the cash flow diagram from David’s perspective.
- A friend of yours who had taken an engineering economy course stated that paying on a student loan even before graduation will give you a big break on the total loan costs. She cites the following example to illustrate her point. A student takes out a $10,000 loan for their freshman year of college, and the interest rate is 7% compounded semi-annually over 10 years. With full deferral of this loan, meaning that no payments are dueuntil six months after graduation, the original loan will have grown to $13,630 thanks to interest: F = $10, 000(F/P, 3.5% per six months, 9 periods) = $13, 630. Your friend says that paying just $75 per month, or $4,050 over the same 4.5 years would reduce the ending balance to about $8,960. Show how this amount ($8,960) was determined.Mike wants to buy a scooter that costs 10000, but he cannot afford to buy it cash. He opts for the hire purchase agreement, which requires a 13% deposit and 24 equal monthly instalments at an interest rate of 15% per annum, compounded monthly. How much will his deposit be?Calculate the total amount that he still must pay after the deposit.Calculate the monthly instalmentsKimberly Jensen of Storm Lake, Iowa, wants to buy some living room furniture for her new apartment. A local store offered credit at an APR of 16 percent, with a maximum term of four years. The furniture she wishes to purchase costs $3,600, with no down payment required. 1. What are the total finance charges over that three-year period? Round your answer to the nearest dollar. 2. How would the payment change if she could afford a down payment of $600 with four years of financing? Round your answer to the nearest cent.
- The Anderson Ltd. manufacturing company is a small manufacturer of plastic products. She needs to purchase an extrusion machine for$150,000. Anderson ltée will borrow money from a bank at an interest rate of7%over five years. The company expects its sales to be low in the first year, but will subsequently increase at an annual rate of10%. The company therefore arranges with the bank to repay the loan with payments increasing by10%per year. Determine the five annual payments. (Hint, you have to find the first payment).You are thinking about buying a rental property. Because of the difficulty getting a loan, you are going to pay $350,000 in cash for the house today. You think you can rent out the property for the next 10 years, receiving $1,400 in cash each month after your expenses and taxes. At the end of ten years, you believe you will be able to sell the property for $425,000. If your discount rate is 7.2% annually with monthly compounding, what is the NPV of the rental property? (Assume first payment is 1 month from today)After deciding to acquire a new car, you realize you can either lease the car or purchase it with a two-year loan. The car you want costs $34,000. The dealer has a leasing arrangement where you pay $97 today and $497 per month for the next two years. If you purchase the car, you will pay it off in monthly payments over the next two years at an APR of 6 percent. You believe that you will be able to sell the car for $22,000 in two years. What is the present value of purchasing the car? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Present value of lease $ What is the present value of leasing the car? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Present value of purchase $ What break-even resale price in two years would make you indifferent between buying and leasing? (Do not round intermediate calculations and round your answer to 2…