Consider two projects: Project A currently costs $15 million, which is to be paid this year. The returns are $10 million in one year and $8 million in two years. Project 8 currently costs $13 million, again to be paid this year. The returns are $9 million in one year and $8 million in two years. At an interest rate of 6%, the net present value of Project A is roughly while the net present value of Project B is roughly Suppose investing in one project eliminates the opportunity to invest in the other. If the interest rate is 6%, Project is preferable.
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- Sam is considering investing in a bond with a face value of $20,000. The bond pays an interest of 4% payable quarterly. If he expects to make a 1 1/ 2 % return per quarter on this investment with a maturity of 20 years, determine the most he can pay for the bond ________.Economics In 54 months time you expect a cash flow of $3 million. Calculate it’s present value (PV) given the 54-month interest rate is currently 4%, with a volatility of 120 basis points (bps). Explain, using equations with properly-defined mathematical notation, how to map this cash flow to vertices at 4 years and 5 years, in such a way that the volatility of the present value of the mapped cash flow remains at 120 bps. Suppose the 4-year rate has a volatility of 110 bps and the 5-year rate has a volatility of 150 bps, and their correlation is 0.9. How much should be mapped to each vertex. Give your answer in PV terms and round your answers to whole $ values.Armor Investment Company is considering the acquisition of a heavily depreciated building on 10 acres of land. It expects to rent the building as a storage facility and expects to collect cash flows equal to $100,000 next year. However, because depreciation is expected to increase, Armor expects cash flows to decline at a rate of 4 percent per year indefinitely. Armor expects to earn an IRR on investment return (r) at 13 percent. a. What is the value of this property? b. Assume that after 5 years the building could be demolished and the land could be redeveloped with a strip retail improvement. The latter would produce NOI of $200,000 per year, grow at 3 percent per year, and cost $1 million to build. Investors currently earn a 10 percent IRR on such investments. How would this affect your estimate of value in (a)?
- Lorenz curves also can be used to provide a relative measure of the distribution of the total assets of a country. Using data in a report by the economic committee of a certain country, an economist produced the following Lorenz curves for the distribution of total assets in the country in 1963 and 1983, shown below. f(x) = x10 Lorenz curve for 1963 g(x) = x13 Lorenz curve for 1983 Find the Gini index of income concentration for each Lorenz curve and interpret the results. .... What is the Gini index for 1963? (Round to three decimal places as needed.) What is the Gini index for 1983? (Round to three decimal places as needed.) Interpret your results. O A. Total assets were more equally distributed in 1963 O B. Total assets were more equally distributed in 1983 O c. Total assets were distributed the same in 1963 as in 1983.Suppose that you are considering an investment, which would require you to pay $1,000 up front (today), and you would receive a payment of $100 per year, for 5 years, beginning one year from now. One year after your fifth payment, you would then have $800 paid to you as a final payment. Assume that the interest rate is equal to 5%. Round all answers to two decimal places. 5. Calculate the Present Value (PV) of the cost and each of the payments for the investment. Does this investment have a positive or negative present value? Should you make this investment? 6. How much would the initial cost ($1,000) need to change for you to be exactly indifferent about this investment? (i.e. you receive the same return for making this investment as you do for not making this investment?)Adam buys a two-year bond with a $1000 face value and a 10% coupon rate for $1000 today. If one year later the market interest rate increases by 6% and Adam sells the bond, then his rate of return on this investment is _______% (round to one decimal place, negative if it is a loss)
- What is the present value of $7,750 that will be received nine (9) years from now if the annual interest rate is 4.25%? Round your answer to three (3) decimal places. What is the future value of $11,500 nine (9) years from now if the annual interest rate is 3.75%? Round your answer to three (3) decimal places. What annual investment rate is required to turn $3,725 today into $7,500 in seven (7) years? Answer in whole numbers, e.g., 15.025% is entered as 15.025. Round your answer to three (3)) decimal places. [ i need 3 answer i will upvote]Suppose that a 2-year zero-coupon bond with face value $1,000 currently sells at $840, while a 1-year zero-coupon bond with face value $1,000 currently sells at $920. You are considering the purchase of a 2-year coupon bond that pays coupon annually. The face value of this coupon bond is $1,000 and coupon rate is 12% per year. Required: a. What is the yield to maturity of the 2-year zero-coupon bonds? b. What is the current price of the 2-year coupon bond? c. What is the forward rate of the second year? d. If the expectation hypothesis is accepted, what are (1) the expected price of the coupon bond at the end of the first year and (2) the expected holding period return on the coupon bond over the first year? e. Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?Question 2. Based on the following cash flow diagram, calculate the value of X with the interest rate of 10%. 150$ 150$ 15o$ 150$ 150$ 150$ 150$ 75$ 10 11 X= ?
- Matollows and 250 shillings in the following year. After that, dividends are expected to grow at constant 5% per year. If the required rate of return is 10%, what price should investors pay for such shares today? 4. Suppose a firm is considering a project that would require an initial cash outlay of 15 million shillings and expected to generate shs 4.5 million each year for the next 4 years. The firm assumes that the prices and costs increases at the same rate and that the required rate of return expressed in nominal terms is 14%. The firm also practices a policy whereby cash flows are stated at the prices of period zero. The inflation rate is expected to be 5%. (a)Outline two ways in which the effects that inflation has on the acceptability of investment projects could be considered. (b)Using the NPV technique, is the project worth taking? What have you learned from your analysis as far as treating inflation in investment analysis is concerned? 30/2021 4:39:41 PM Page 1 of 2Suppose a ten-year bond with a $10,000 face value pays a 5.0% annual coupon (at the end of the year), has 2 years left to maturity, and has a discount rate of 6.5%. Which of thé following would give you the present value - i.e. the price – of the bond? Select one: a. Present Value = Price = $10,500/(1.065)² %3D %3D b. Present Value = Price = [$500/(1.065)] + [$500/(1.065)²] + ... + [$500/(1.065)NI, where N=00 c. Present Value = Price = [$500/(1.065)] + [$500/(1.065)²] +I$10,000/(1.065)²] %3D d. Present Value = Price = [$500/(1.065)] + [$500/(1.065)²]An investor can invest money with a particular bank and earn a stated interest rate of 4.40%; however, interest will be compounded quarterly. What i are the nominal, periodic, and effective interest rates for this investment opportunity? Interest Rates Nominal rate Periodic rate Effective annual rate Rahul needs a loan and is speaking to several lending agencies about the interest rates they would charge and the terms they offer. He particularly likes his local bank because he is being offered a nominal rate of 4%. But the bank is compounding bimonthly (every two months). What is the effective interest rate that Rahul would pay for the loan? ○ 3.945% 4.152% 4.067% 04.186 % Another bank is also offering favorable terms, so Rahul decides to take a loan of $12,000 from this bank. He signs the loan contract at 5% comanded daily for 12 months. Based on a 365-day year, what is the total amount that Rahul owes the bank at the end of the loan's term? (Hint: To calculate the number of days,…