A person invests $2000 in an account at 10% interest compounded annually. When will the value of the investment be doubled? Explain why it will take less than 10 years, even though the rate is 10%. For the value of the investment to be doubled it will take about t = years. (Round to two decimal places as needed.)
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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?How much must be invested now to receive $30,000 for 10 years if the first $30.000 is received one year from now and the rate is 8%?
- You put $250 in the bank for S years at 12%. A. If interest is added at the end of the year, how much will you have in the bank after one year? Calculate the amount you will have in the bank at the end of year two and continue to calculate all the way to the end of the fifth year. B. Use the future value of $1 table in Appendix B and verity that your answer is correct.You invest $10,000 into a money market account that pays interest on a semi-annual basis (e.g., interest is compounded every six months). If the annual interest rate is R=0.08 (e.g., R=8%), how long will you have to wait for your initial investment to double to $20,000?An investment offers $9,200 per year for 17 years, with the first payment occurring one year from now. Assume the required return is 12 percent. a. What is the value of the investment today? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. What would the value be if the payments occurred for 42 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. What would the value be if the payments occurred for 77 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) d. What would the value be if the payments occurred forever? (Do not round
- An investment offers $6,600 per year, with the first payment occurring one year from now. The required return is 5 percent. a. What would the value be today if the payments occurred for 10 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. What would the value be today if the payments occurred for 35 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. What would the value be today if the payments occurred for 65 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) d. What would the value be today if the payments occurred forever? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)An investment offers $6,800 per year for 20 years, with the first payment occurring one year from now. a. If the required return is 7 percent, what is the value of the investment today? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. What would the value today be if the payments occurred for 45 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. What would the value today be if the payments occurred for 70 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) d. What would the value today be if the payments occurred forever? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) a. Present value b. Present value C. Present value d. Present valueAn investment pays you $1000 at the end of each of the next 3 years. The investment will then pay you $2000 at the end of Year 4, $3000 at the end of Year 5, and $5000 at the end of Year 6. If the interest rate earned on the investment is 8 percent, what is its present value? What is its future value?
- if you place $1100 today into an account that pays simple interest and you have $6100 dollars in the account 5 years from now. determine the annual simple interest rate. what would be the total value if the investment had of been left in the bank for 8 more years?An investment offers $3,850 per year for 15 years, with the first payment occurring one year from now. a. If the required return is 6 percent, what is the value of the investment? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. What would the value be if the payments occurred for 40 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. What would the value be if the payments occurred for 75 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) d. What would the value be if the payments occurred forever? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) a. Present value of 15 annual payments b. Present value of 40 annual payments c. Present value of 75 annual payments d. Present value of annual payments forevera) In how many years will a single investment of $1,000 made now, increase to $2,000 if the interest rate is 3% per year? b) A savings certificate costing $80 now will pay $113.48 in 6 years. What is the effective annual interest rate if compounding takes place monthly? And what is the nominal annual interest rate compounded monthly? c) How much money would be accumulated 18 years from now, if an equal amount of money is invested at the end of each year, and if over 30 years the amount of money accumulated would amount to $200,000 and the interest rate is expected to average 4% over the entire time?