4. If an investor deposits $20,000 now, $10,000 two years from now and $5,000 per year for three years starting 4 years from now at an interest rate of 10%per year, how much can he withdraw every year forever beginning 12 years from now?
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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 annuityUse the tables in Appendix B to answer the following questions. A. If you would like to accumulate $4,200 over the next 6 years when the interest rate is 8%, how much do you need to deposit in the account? B. If you place $8,700 in a savings account, how much will you have at the end of 12 years with an interest rate of 8%? C. You invest $2,000 per year, at the end of the year, for 20 years at 10% interest. How much will you have at the end of 20 years? D. You win the lottery and can either receive $500,000 as a lump sum or $60,000 per year for 20 years. Assuming you can earn 3% interest, which do you recommend and why?Suppose you are going to invest $11,000 per year for six years. The appropriate interest rate is 9 percent. What is the future value if the payments are made on the last day of the year? What if the payments are made on the first day of the year? a) $82,756.68; $90,204.78 b) $90,204.78; $82,756.68 c) $49,345.10; $53,786.16 d) $53,786.16; $49,345.10
- 6. An investor is considering an investment that will pay $2,150 at the end of each year for the next 10 years. He expects to earn an annual return of 18 percent on his investment. How much should he pay today for the investment? How much should he pay if the investment returns are paid at the beginning of each year?Suppose your client wishes to purchase an annuity that pays $80,000 each year for 6 years, with the first payment 4 years from now. At an interest rate of 8%, how much would the client need to invest now? Please round your answer to the nearest hundredth.You are depositing $3,000 today in an account with an expected rate of return of 10%. If you deposit an additional $4,000 three years from today, and $4,200 four years from today, what will your account balance be ten years from today? Show your formula/calculation/explanation!
- 4. How much will you need to invest today to receive $50,000 in 10 years, assuming an investment where interest is compounded monthly and the annual discount rate of 3 percent?You 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)?If you deposit $1000 today in an account earning 10% APR compounded annually, and you deposit another $1000 next year (at same rate), and finally you deposit another $1000 two years from today (at time t=2). How much will be in your account two years from today, at time t=2?
- Suppose that you have $100 to invest for a period of 5 years at an interest rate of 10% per year. How much will you have accumulated at the end of this time period?Suppose an investment will pay $21,000 in 29 years from now. If you can earn 11.35% interest compounded monthly by depositing your money in a bank, how much should you pay for the investment today?Answer followings (a) Suppose you wish to borrow $60,000 at an annually compounded interest rate of 16% for a period of 14 years. What would be the annual repayment? (b) You wish to invest $30,000 today in order to save $60,000 for a deposit to buy a house in several years’ time.How many years must you invest in order to have a future value of $60,000 if the interest rate is 12%? (c) What is the effective annual rate of a savings account with an annual interest rate of 5.9% compounded quarterly?