(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.)

You are considering the purchase of real estate that will provide perpetual income that should average $54,000 per year. How much will you pay for the property if you believe its market risk is the same as the market portfolio’s? The T-bill rate is 6%, and the expected market return is 9.0%. Property Value =

4. Risk aversion Suppose an investor, Erik, is offered the investment opportunities described in the table below. Each investment costs $1,000 today and provides a payoff, also described below, one year from now. Option Payoff One Year from Now 1 100% chance of receiving $1,100 2. 50% chance of receiving $1,000 50% chance of receiving $1,200 3 50% chance of receiving $200 50% chance of receiving $2,000 If Erik is risk averse, which investment will he prefer? O The investor will choose option 1. O The investor will choose option 2. O The investor will choose option 3. O The investor will be indifferent toward these options. In contrast to his brother Erik, Devin is a risk lover (or exhibits risk seeking behavior). Which of the following statements is true about Devin? O Everything else remaining constant, Devin will prefer option 3. O Everything else remaining constant, Devin will prefer option 2. O Everything else remaining constant, Devin will prefer option 1. O None of these options…

Your friend told you about an NFT (Non-fungible Token) that they think will be worth $996 in 6 years.  If your required return on investments of this risk is 16.5%, what is the most you should be willing to pay for it today? Round to 2 decimal places.  Include a dollar sign ($) or percent (%) as appropriate.

(3) Today you have paid $275 for an investment that pays $100 in one year, $500 in two years,and $X in 4 years. Assuming the market interest rate is 100% and the net present value of theinvestment is zero, what must be true about X?(a) X is greater than $2,500(b) X is greater than or equal to $2,000 but less than $2,500(c) X is greater than or equal to $1,500 but less than $2,000(d) X is greater than $1,200 but less than $1,500(e) X is less than or equal to $1,200

Problem 1: You can choose between two different investments: (A) an annuity that pays $10,000 each year for the next 6 years; (B) a perpetuity that pays $10,000 forever, starting 11 years from now. 1. Which investment do you choose, A or B, if the interest rate is 5%? What if it is 10%? Explain in words the reason behind your choices.

Suppose you just bought an annuity with 12 annual payments of $15,700 at a discount rate of 11.75 percent per year. a. What is the value of the investment at the current interest rate of 11.75 percent? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. b. What happens to the value of your investment if interest rates suddenly drop to 6.75 percent? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. c. What happens to the value of your investment if interest rates suddenly rise to 16.75 percent? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. a. Present value at 11.75 percent b. Present value at 6.75 percent $ 124,187.88 153,795.59 c. Present value at 16.75 percent $ 97,472.81

You are considering investing in a security that will pay you RM1,000 in 'n' years. Required: How long do you have to invest if you start the investment of RM250 today with the appropriate discount rate of 10 percent quarterly? i. ii. Assume these securities sell for RM365, in return for which you receive RM1,000 in 30 years. What is the rate of return investors earn on this security if they buy it for RM365?

Suppose the term structure of risk-free interest rates is as shown here: a. Calculate the present value of an investment that pays $1,000 in 2 years and $4,000 in 5 years for certain. b. Calculate the present value of receiving $900 per year, with certainty, at the end of the next 5 years. To find the rates for the missing years in the table, linearly interpolate between the years for which you do know the rates. (For example, the rate in year 4 would be the average rate in year 3 and year 5.) c. Calculate the present value of receiving $2,700 per year, with certainty, for the next 20 years. Infer rates for the missing years using linear interpolation. (Hint: Use a spreadsheet.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) 2 years 3 years 5 years 7 years 1 year 2.06 2.44 2.64 3.22 3.74 Term Rate (EAR, %) Print Done 10 years 4.25 20 years 5.09 I X t cent.)

Consider a borrow-and-invest strategy in which you use $1 million of your own money and borrow another $1 million (at the t-bill rate) to invest $2 million in a market index fund. If the risk free interest rate is 5.52 percent and the expected rate of return on the market index fund is 12.68 percent, what is the risk premium on this borrow-and-invest strategy?