(Related to Checkpoint 5.6) (Solving for i) You are considering investing in a security that will pay you $3,000 in 34 years. a. If the appropriate discount rate is 8 percent, what is the present value of this investment? b. Assume these investments sell for $773 in return for which you receive $3,000 in 34 years. What is the rate of return investors earn on this investment if for $773? a. If the appropriate discount rate is 8 percent, the present value of this investment is $ 219.13. (Round to the nearest cent.) b. The rate of return investors can earn on this investment if they buy it for $773 is ☐ %. (Round to two decimal places.)

(Related to Checkpoint 5.6) (Solving for i) You are considering investing in a security that will pay you $3,000 in 34 years. a. If the appropriate discount rate is 8 percent, what is the present value of this investment? b. Assume these investments sell for $773 in return for which you receive $3,000 in 34 years. What is the rate of return investors earn on this investment if for $773? a. If the appropriate discount rate is 8 percent, the present value of this investment is $ 219.13. (Round to the nearest cent.) b. The rate of return investors can earn on this investment if they buy it for $773 is ☐ %. (Round to two decimal places.)

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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USE EXCEL TO SOLVE THIS PROBLEM AND SHOW THE FORMULA! You are considering investing in a security that will pay you $1,000 in 30 years. a. If the appropriate discount rate is 10 percent, what is the present value of this investment? b. Assume these securities sell for $365, in return for which you receive $1,000 in 30 years. What is the rate of return investors earn on this security if they buy it for $365?
(Solving for i) You are considering investing in a security that will pay you $5,000 in 31 years. a. If the appropriate discount rate is 11 percent, what is the present value of this investment? (Round to the nearest cent.) b. Assume these investments sell for $1,680 in return for which you receive $5,000 in 31 years. What is the rate of return investors earn on this investment if they buy it for $1,680?
You are considering investing in a security that will pay you $5,000 in 29 years. If the appropriate discount rate is 12 percent, what is the present value of this investment? b. Assume these investments sell for $2,423 in return for which you receive $5,000 in 29years. What is the rate of return investors earn on this investment if they buy it for $2,423? If the appropriate discount rate is 12 percent, the present value of this investment is
You are considering investing in a security that will pay you $2,000 in 35 years. a. If the appropriate discount rate is 10 percent, what is the present value of this investment? b. Assume these investments sell for $275 in return for which you receive $2,000 in 35 years. What is the rate of return investors earn on this investment if they buy it for $275?
You are considering a safe investment opportunity that requires a $780 investment today, and will pay $870 two years from now and another $640 five years from now. a. What is the IRR of this investment? b. If you are choosing between this investment and putting your money in a safe bank account that pays an EAR of 5% per year for any horizon, can you make the decision by simply comparing this EAR with the IRR of the investment? Explain.
You are considering a safe investment opportunity that requires a $1,080 investment today, and will pay $710 two years from now and another $610 five years from now. a. What is the IRR of this investment? b. If you are choosing between this investment and putting your money in a safe bank account that pays an EAR of 5% per year for any horizon, can you make the decision by simply comparing this EAR with the IRR of the investment? Explain. a. What is the IRR of this investment? The IRR of this investment is _____________%. (Round to two decimal places.)
You are considering the choice between investing £50,000 in a conventional 1-year financial asset such as (Certificate of Deposit) offering an interest rate of 5% and a 1-year “InflationPlus” offering 1.5% per year plus the rate of inflation. (a) Which is the safer investment and why? Which offers the higher expected return and why? If you expect the rate of inflation to be 3% over the next year, which is the better investment? Explain. If we observe a risk-free real rate of 5% per year and a risk-free real rate of 1.5% on inflation indexed bonds, can we infer that the market’s expected rate of inflation is 3.5% per year?
a) At what annual interest rate would the following have to be invested? i) $500 to grow to $1,948.00 in 12 years ii) $300 to grow to $422.10 in 7 years iii) $50 to grow to $280.20 in 20 years iv) $200 to grow to $497.60 in 5 years b) You are considering invest ing in a security that will pay you $1,000 in 30 years. i) If the appropriate discount rate is 10 percent, what is the present value of this investment? ii) Assume these securities sell for $365, in return for which you receive $1,000 in 30 years. What is the rate of return investors earn on this security if they buy it for $365? USE EXCEL TO WORK THIS OUT AND SHOW THE FORMULA!
You are considering an investment in a mutual fund with a 4% load and an expense ratio of .5%. You can invest instead in a bank CD paying 6% interest.a. If you plan to invest for 2 years, what annual rate of return must the fund portfolio earn for you to be better off in the fund than in the CD? Assume annual compounding of returns.b. How does your answer change if you plan to invest for 6 years? Why does your answer change?c. Now suppose that instead of a front-end load the fund assesses a 12b-1 fee of .75% per year. What annual rate of return must the fund portfolio earn for you to be better off in the fund than in the CD? Does your answer in this case depend on your time horizon?
2. Ali wants to choose a better option for making investment, help him to decide which the better option is by calculating time value of money for the following: a) An investment of OMR. 40000 in a Bond which pays 6.75% interest for 10 years b) A Bank deposit of OMR. 40000 which pays 6.75% interest for 10 years but compounding is done half a year.
You are thinking about investing $4,865 in your friend's landscaping business. Even though you know the investment is risky and you can't be sure, you expect your investment to be worth $5,744 next year. You notice that the rate for one-year Treasury bills is 1%. However, you feel that other investments of equal risk to your friend's landscape business offer an expected return of 7% for the year. What should you do? The present value of the return is $_______ (Round to the nearest cent.)
3. You are considering to invest in a mutual fund with a 4% load and an expense ratio of 0.5%. Alternative, you may invest in a bank certificate of deposit (CD) paying 6% interest. a. If you plan to invest for 2 years, what annual rate of return must the mutual fund earn so that the result will be better than making investment in the CD ? Assume annual compounding of returns. b. How does your answer change if you plan to invest for 6 years ? c. Now suppose that instead of a front-end load, the mutual fund charges a fee of 0.75% per year. What annual rate of return must the mutual fund earn so that the result will be better than making investment in the CD ? Does your answer in this case depend on your time horizon ?

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