Spike buys a car from John's Auto Mart for $5,000. He finances the car from the dealer and agrees to make payments of $180 per month for 3 years. What is the yield to maturity on this fixed payment loan?
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- A man plans to take a vacation in 5 years. He wants to buy a certificate of deposit for $1300 that he will cash in for the trip. What is the minimum annual interest rate he must obtain on the certificate if he needs at least $1500 for the trip? Assume that the interest on the loan is computed using simple interest. The rate he must obtain isJohn wants to buy a property for USD 105,000 and once on 80% loan for USD 84000. A lender indicates that a fully amortizing loan can be obtained for 30 years at 8% interest payable monthly. However a loan origination fee of USD 3500 will be necessary for John to obtain the loan.Required:a) how much will the lender actually distributeb) what is the effective interest rate for the borrower assuming that the mortgage is paid off after 30 yearsC) if John pays the loan after five years what is the effective interest rate and why it's different from the effective interest in (b)abovePedro buys a condo for $629,000, with a down payment of $40,000. He takes out a 30-year mortgage for $589,000 at an annual interest rate of 3%. What do the monthly payments need to be to amortize this loan?
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- A student borrows $3000 from his uncle in order to finish school. His uncle agrees to charge him simple interest at the rate of 5.5% per year. Suppose the student waits two years and then repays the entire loan. How much will he have to repay?Will has a 30-year mortgage on a $100,000 loan for his house in Florida. The interest rate on the loan is 6% per year (nominal interest), payable monthly at 0.5% per month. Solve, a. What is Will’s monthly payment? b. If Will doubles his payment from Part (a), when will the loan be completely repaid?Mr. Smith wants to buy a new car that willcost $35,000. He will make a down payment in theamount of $15,000. He would like to borrow theremainder from a bank at an interest rate of 12%compounded monthly. He agrees to pay off the loanmonthly for a period of five years. Select the correctanswer for the following questions:(a) What is the amount of the monthly payment A?i. A = $20,000(A/F, 1%, 60)ii. A = $20,000(A/P, 12%, 5)/12iii. A = $20,000(A/P, 1%, 60)iv. A = $4,000(A/F, 12%, 5)/12(b) Mr. Smith has made 36 payments and wants tofigure out the balance remaining immediatelyafter the 36th payment. What is that balance?
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