4. You are buying your first car for $20,000 and are paying $2,000 as a down payment. You have negotiated a nominal interest rate of 12 percent and you plan to pay-off the car over five years. What is the monthly payments you must make on this loan?
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- 1.You are buying your first car for $20,000 and are paying $2,000 as a down payment. You have negotiated a nominal interest rate of 12 percent and you plan to pay-off the car over five years. What is the monthly payments you must make on this loan? 2. Maryann is planning a wedding anniversary gift of a trip to Hawaii for her husband at the end of 3 years. She will have enough to pay for the trip if she invests $2,500 per year until that anniversary and plans to make her first $2,500 investment on their first anniversary. Assume her investment earns a 4 percent interest rate, how much will she have saved for their trip if the interest is compounded in each of the following ways? a.Annually b. Quarterly c. Monthly 3.Compute the current price of a bond which matures in 40 years and has a required rate of return of 10 percent, a semi-annual coupon rate of 6 percent.4. What is the semi-annual coupon bond’s nominal yield to maturity (YTM), if the years to maturity is 15 years, and sells for…A relative has promised to pay you $93.00 today, and he will pay you additional payments every year for the next five years. Each year he will add $73.00 to the previous payment. (So, the payment in year 1 will equal $166.00). You decide to save every dollar you are given and will invest the money in an account paying 4.00% annual interest. How much money will you have accumulated in five years? Keep in mind that you will have six total cash flows to invest. Submit Answer format: Currency: Round to: 2 decimal places.your wealthy great aunt is going to help you finance the purchase of your first condo. She will lend you $80,000 today. You agree to pay her 5 equally sized payments. The first payment will be 1 year from today, and 4 more payments will follow every 3 years (so payments at the end of years 1, 4, 7, 10, and 13). If the interest rate she charges is 2.00% per year, how much will each payment be?
- Assume that you plan to buy a condo 5 years from now, and you need to save for adown payment. You plan to save $2,500 per year (with the first deposit made immediately),and you will deposit the funds in a bank account that pays 4% interest. Howmuch will you have after 5 years? How much will you have if you make the depositsat the end of each year? ($14,082.44, $13,540.81)Suppose that, to purchase a car, you are obtaining a personal loan from your uncle in the amount of $75,000 (now) to be repaid in three years. If your uncle could earn 9% interest (compounded annually) on his money invested in various sources, what minimum lump-sum payment three years from now would make your uncle happy economically?You are hoping to buy a house in the future and recently received an inheritance of $16, 000. You intend to use your inheritance as a down payment on your house. a. If you put your inheritance in an account that earns 8 percent interest compounded annually, how many years will it be before your inheritance grows to $33, 000? b. If you let your money grow for 9.5 years at 8 percent, how much will you have? c. How long will it take your money to grow to $33, 000 if you move it into an account that pays 3 percent compounded annually? How long will it take your money to grow to $33, 000 if you move it into an account that pays 12 percent? d. What does all this tell you about the relationship among interest rates, time, and future sums?
- You receive a $7,000 check from your grandparents for graduation. You decide to save it toward a down payment on a house. You invest it earning 12% per year and you think you will need to have $14,000 saved for the down payment. How long will it be before the $7,000 has grown to $14,000 ? To double the money you received from your grandparents, it will take years. (Round to one decimal place.)After graduation, you plan to work for Mega Corporation for 10 years and then start your own business. You expect to save $5,000 a year for the first 5 years and $10,000 annually for the following 5 years, with the first deposit being made a year from today. In addition, your grandfather just gave you a $20,000 graduation gift which you will deposit immediately. If the account earns 8% compounded annually, what how much will you have when you start your business 10 years from now? (WITH CALCULATION) a $185.976 b. $116,110 c. $217,513 d. $144,944 e. $128,349A young engineer wants to surprise her husband with a European vacation for their tenth anniversary, which is five years from now. She determine that the trip will cost $7,000. Assuming an interest rate of 5.5% compounded daily, approximately how much money does she need to deposit today for the trip?
- Your daughter will start college one year from today, at which time the first tuition payment of \$58,000$58,000 must be made. Assuming that tuition does not increase over time and that your daughter remains in school for four years, how much money do you need today in your savings account, earning 5\%5% per annum, in order to make the tuition payments over the next four years?Part B) Suppose karen has $2000 each month that she can allocate between mortgage payments and retirement. That is, if she pays $1200 toward her mortgage, then she can put the remaining $800 into her retirement account each month. She plans to retire in 30 years. If she goes with the 15 year home loan, then the first 15 years she will have to split the $2000 between mortgage and retirement, but then the last 15 years she can put all $2000 into her retirement account. If she goes with the 20 year home loan, then the first 20 years she will have to split the $2000 between mortgage and retirement, but then the last 10 years she can put all $2000 into her retirement account. If she goes with the 30 year home loan, then she will split the $2000 between mortgage and retirement for all 30 years. Her best retirement option offers her a nominal rate of 5.5%, compounded monthly. Calculate the value of her retirement account in 30 years under each of the 3 plans. Which plan will give her the…Spencer would like to purchase a new car for $12,000. How much will his monthly payments be if he took out a 3-year loan at 7% interest? Show your work.