You know that you'll inherit $10,000 in 19 years. If you borrow $6,000 now and plan to pay it off with the money you'll inherit, what is the highest annual interest rate you can afford on the loan?
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You know that you'll inherit $10,000 in 19 years. If you borrow $6,000 now and plan to pay it off with the money you'll inherit, what is the highest annual interest rate you can afford on the loan?
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- You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years. Which table will help you determine the value of your account at the end of 12 years? A. future value of one dollar ($1) B. present value of one dollar ($1) C. future value of an ordinary annuity D. present value of an ordinary annuityYou want to retire soon. When you finally retire, you want your investments to provide you with an income of $150,00 each year for the next 40 years. If the annual interest rate guaranteed to be 6 percent or higher, what is the present value of that stream of payments (or how much of a deposit do you need in order to get that payment amount per year)?You believe you will need to have saved $593,000 by the time you retire in 30 years in order to live comfortably. You also believe that you will inherit $113,000 in 5 years. 1) If the interest rate is 7% per year, what is the future value of your inheritance at retirement? 2) How much additional money must you save to meet your retirement goal, assuming you save your entire inheritance?
- You believe you will need to have saved $480,000 by the time you retire in 30 years in order to live comfortably. You also believe that you will inherit $115,000 in 5 years. a) If the interest rate is 6% per year, what is the future value of your inheritance at retirement? b) How much additional money must you save to meet your retirement goal, assuming you save your entire inheritance?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 want to be able to withdraw $50,000 from your account each year for 25 years after you retire. You expect to retire in 15 years. If your account earns 7% interest, how much will you need to deposit each year until retirement to achieve your retirement goals?
- You just read about an opportunity to purchase an annuity that pays $1,000 at the end of each of the next 10 years. If you are currently earning 7% on your money (your opportunity cost of money), how much would you be willing to pay for this annuity?You want to be able to withdraw $50,000 from your account each year for 20 years after you retire.You expect to retire in 15 years.If your account earns 4% interest, how much will you need to deposit each year until retirement to achieve your retirement goals?Suppose you take out a $117,000, 20-year mortgage loan to buy a condo. The interest rate on the loan is 5%. To keep things simple, we will assume you make payments on the loan annually at the end of each year. a. What is your annual payment on the loan? b. Construct a mortgage amortization. c. What fraction of your initial loan payment is interest? d. What fraction of your initial loan payment is amortization? e. What is the total of the loan amount paid off after 10 years (halfway through the life of the loan)? f. If the inflation rate is 3%, what is the real value of the first (year-end) payment? g. If the inflation rate is 3%, what is the real value of the last (year-end) payment? h. Now assume the inflation rate is 6% and the real interest rate on the loan is unchanged. What must be the new nominal interest rate? i-1. Recompute the amortization table. i-2. What is the real value of the first (year-end) payment in this high-inflation scenario? j. What is the real value of the last…
- Suppose you wish to invest in an annuity so that you will have $120,000 at some future date for your child’s education. You call several institutions and find that the best interest rate is 5.85% compounded monthly. In addition, you wish to make $350 monthly installments, with payments made at the end of each period. If you expect to attain this goal and give your child the $120,000 by his/her 18th birthday, about how long after he/she is born do you need to start investing in the annuity? Type an explanation and/or the calculations used to arrive at your answer. Construct the payment schedule for the first 6 payments by filling in the table below: period interest cum. int. principal balance 0 1 2 3 4 5 6How much would Sally be willing to pay today for an annuity expected to pay $4,000 per year for 5 year, with the first payment starting in 3 years. Assuming she requires a 10% return?Assume that you just inherited an annuity that will pay you $10,000 per year for10 years, with the first payment being made today. A friend of your mother offersto give you $60,000 for the annuity. If you sell it, what rate of return would yourmother’s friend earn on his investment? If you think a “fair” return would be 6%, howmuch should you ask for the annuity? (13.70%, $78,016.92)
