You are considering investing in a security that will pay you $4,000 in 29 years. If the appropriate discount rate is 11 percent, what is the present value of this investment? b. а. Assume these investments sell for $791 in return for which you receive $4,000 in 29 years. What is the rate of return investors earn on this investment if they buy it for $791? If the appropriate discount rate is 11 percent, the present value of this investment is $______(Round to the nearest cent.) а.

You are considering investing in a security that will pay you $4,000 in 29 years. If the appropriate discount rate is 11 percent, what is the present value of this investment? b. а. Assume these investments sell for $791 in return for which you receive $4,000 in 29 years. What is the rate of return investors earn on this investment if they buy it for $791? If the appropriate discount rate is 11 percent, the present value of this investment is $______(Round to the nearest cent.) а.

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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The amount of money originally put into an investment is known as the present value P of the investment. For example, if you buy a $50 U.S. Savings Bond that matures in 10 years, the present value of the investment is the amount of money you have to pay for the bond today. The value of the investment at some future time is known as the future value F. Thus, if you buy the savings bond mentioned above, its future value is $50. If the investment pays an interest rate of r (as a decimal) compounded yearly, and if we know the future value F for t years in the future, then the present value P = P(F, r, t), the amount we have to pay today, can be calculated using the formula below. P = F × 1 (1 + r)t We measure F and P in dollars. The term 1/(1 + r)t is known as the present value factor, or the discount rate, so the formula above can also be written as the following. P = F × discount rate (a) Explain what information the function P(F, r, t) gives you. The function…
(Related to Checkpoint 5.6) (Solving for i) You are considering investing in a security that will pay you $1,000 in 25 years. a. If the appropriate discount rate is 11 percent, what is the present value of this investment? b. Assume these investments sell for $259 in return for which you receive $1,000 in 25 years. What is the rate of return investors earn on this investment if they buy it for $259? a. If the appropriate discount rate is 11 percent, the present value of this investment is $nothing. (Round to the nearest cent.)
A You are considering investing in a security that will pay you $1000 in 30 years. If the appropriate discount rate is 10%, what is the present value of this investment? Assume these investments sell for $365, in return for which you receive $1000 in 30 years, what is the rate of return investors earn on this investment if they buy it for $365? b What is the accumulated sum of each of the following streams of ordinary annuity payments? $35 per half-year for three and a half years at 14% p.a. compounded half- yearly. $25 a year for three years compounded annually at 2%. $500 a year for 10 years compounded annually at 5%
(Related to Checkpoint 5.6) (Solving for i) You are considering investing in a security that will pay you $1,000 in 27 years. a. If the appropriate discount rate is 12 percent, what is the present value of this investment? b. Assume these investments sell for $515 in return for which you receive $1,000 in 27 years. What is the rate of return investors earn on this investment if they buy it for $515? a. If the appropriate discount rate is 12 percent, the present value of this investment is $nothing. (Round to the nearest cent.)
. Evaluate the following statement:Consider two riskless perpetuities: (i) pays $120 every year; (ii) pays $10 every month. If the rates of returns of the two perpetuities are the same, investors must buy perpetuity (ii) because it makes more interest payments.
Suppose the risk-free interest rate is 4.6%. Having $600 today is equivalent to having what amount in one year? (Round to the nearestcent.) Having $600 in one year is equivalent to having what amount today? (Round to the nearestcent.) Which would you prefer, $600 today or $600 in one year? Does your answer depend on when you need the money? Why or why not? (Round to the nearestcent.)
You are considering a risky investment that you expect will either be worth 165,000 in 1 year, or 95,000, with probabilities of 0.6 and 0.4 for each outcome, respectively. You could invest in riskless T-bills at 0.047. If you invest in this risky investment, you would expect to earn a risk premium of 0.073 Given this information, what would you be willing to pay for this investment? O 113,881 O 106,615 O 118,358 O 122,321 O 109,991
Which of the following investments that pay will $18,500 in 8 years will have a higher price today? The security that earns an interest rate of 8.50%. The security that earns an interest rate of 12.75%.
Suppose the term structure of risk-free interest rates is as shown below: 5 yr 7 yr 10 yr 20 yr Term 1 yr 2 yr 3 yr 2.42 2.77 3.31 3.75 4.15 4.93 1.98 Rate (EAR %) What is the present value of an investment that pays $103 at the end of each of years 1, 2, and 3? If you wanted to value this investment correctly using the annuity formula, what discount rate should you use? What is the present value of an investment that pays $103 at the end of each of years 1, 2, and 3? The present value of the investment is $294.08. (Round to the nearest cent.) If you wanted to value this investment correctly using the annuity formula, what discount rate should you use? The discount rate you should use if you want to use the annuity formula is 2.94%. (Round to two decimal places.)
D7) Consider two riskless perpetuities: (i) pays $120 every year; (ii) pays $10 every month. If the rates of returns of the two perpetuities are the same, investors must buy perpetuity (ii) because it makes more interest payments.
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?
Your friend told you about an NFT (Non-fungible Token) that they think will be worth $7.5 in 5.8 years. If your required return on investments of this risk is 1.5, what is the most you should be willing to pay for it today? Round to 2 decimal places. Include a dollar sign ($) or percent (%) as appropriat

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