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USE THE INFORMATION BELOW TO ANSWER THE FOLLOWING THREEQUESTIONSVito Scaletta just bought his dream car, 2019 Aston Martin DB9that cost $208,700. He paid $30,000 down and financed the balanceover 84 months at 6.25% p.a. (Assume that Vito makes all requiredpayments on time).29. What will the balance on Vito’s loan be at the end of thefourth year (that is, immediately after Vito makes his 48th paymenton the loan)?30. What is the total amount of interest that Vito will pay overthe entire term of the loan (that is, the total amount of interestthat is paid on payments 1 through 84)?31. Today is your 30th birthday and you have a dream of retiringon your 65th birthday. You want to put aside however much isnecessary on your 31st through 65th birthdays (35 annual payments)to have enough to retire. You've estimated that you will live untilyou are 90 and you want the first withdrawal to occur on your 66thbirthday, with the last payment occurring on your 90th birthday.You think that you will need $150,000 per year to spend duringretirement. You estimate constant interest rates of 11.25%.Assuming that you currently have $7,500 deposited in yourretirement account, how much must you put aside each year in orderto have sufficient money to retire at age 65?32. Gordon Freeman recently invested $5,000 in a project that ispromising to return 6.5 percent per year. The cash flows areexpected to be as follows: End of Cash Y ear Flow 1 $1000 2 950 3875 4 ??? 5 850 Note that the 4th year cash flow is unknown.Assuming the present value of this cash flow stream is $5,000 (thatis, CF0 = -5000), what is the missing cash flow value (that is,what is the cash flow at the end of the 4th year)?33. You have a $25,000 balance on your credit card. You plan tomake monthly payments of $450 until the balance is paid off. Theinterest rate on your credit card is 17.5% p.a., compoundedmonthly. A letter in the mail informs you that you are approved fora new credit card and balance transfers are subject to a 9.5% p.a.,compounded monthly. How many months sooner will you pay off yourbill?
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