Consider the following cash flows over a 5-year period: -$100,000 @ t = 0; $35,000 @ t = 1; $45,000 @ t = 2; -$40,000 @ t = 3; $50,000 @t = 4; and $60,000 @t=5. Using Descartes' rule of signs, how many positive rates of return are there? ○ Exactly one. ○ Exactly two. ○ Exactly three. ○ At most two. ○ At most three.
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- Betty will need $12,000 in five years to pay for a major overhaul on her tractor engine. She has found an investment that will provide a 5% return on her invested funds. How much does Betty need to invest today so she will have her overhaul funds in five years?After reading the given descriptions, please place the correct label by the quadrant on the graph that best describes each person's position in the market for loanable funds. Jolien decides not to take out a loan to fund expanding her grocery store because she projects it will only earn a return of 4%4%. Osi closely follows the market for United States Treasury Bonds. He is willing to invest in them anytime the rate of return is 5%5% or higher, and sees that this is the case. In order to open a new car wash facility expected to return 13%13%, Julius secures a loan. John will shift his stock investments to corporate bonds when they return at least 10%10%. They do not, so he stays with stocksQuestion 4 The equivalent rate of interest for a discount rate of 10.5% for 60 days is 104.9825%. Hint: An interest rate r and discount rate d are said to be equivalent if these two simple rates give the same present value for an amount due in the future. Thus, r = d/(1 - dt) and d = r/(1 + rt)
- What is the definition of internal rate of return (IRR)? If you expect the annual interest rates are much different in the next 10 years, would the IRR be the ideal measure? Why or why not?A certain investment opportunity available to you will double your money in the next six years. You have $2,000.00 to invest, how much will you have in 12 years-assuming the interest rate is guaranteed for the time period?A man invests his savings in two accounts, one paying 6 percent and the other paying 10 percent simple interest per year. He puts twice as much in the lower-yielding account because it is less risky. His annual interest is 6534 dollars. How much did he invest at each rate? Your answer is total in the account paying 6 percent interest is total in the account paying 10 percent interest is
- Use the formula: F = P (1 + i) 1. You wish to invest money now in order to have $600,000 after four years. How much do you need t deposit right now to reach your goal given an interest rate of: a. 0.5% per month? b. 1.8 % per quarter? 2. How long will an investment double itself if interest is earned at a compounded rate of: a. 3% per quarter? b. 0.25% per week (assumption: 1 year = 52 weeks)?To make CDs look more attractive as an investment than they really are, some banks advertise that their rates are higher than their competitors' rates; however, the fine print says that the rate is based on simple interest. If you were to deposit $16,000 at 10.00% per year simple interest in a CD, what compound interest rate would yield the same amount of money in 3 years? (Round the final answer to three decimal places.) The compound interest rate that would yield the same amount of money in 3 years is % per year.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)
- Suppose you pay $971 for a 10=year Treasury bond that has a face value of $1,000 and a coupon rate of 5%. If you sell the bond one year later for $1,013, what is your one-year rate of return? (Give your answer as a percentage, round your answer to two decimal places; e.g., 4.37 for 4.37%)Calculate the present value of each cashflow using a discount rate of 7%. Which do you most prefer most? Show and explain all supporting calculations! Cashflow A: receive $60 today and then receive $60 in four years. Cashflow B: receive $12 every year, forever, starting today. Cashflow C: pay $50 every year for five years, with the first payment being next year, and then subsequently receive $30 every year for 20 years. Cashflow D: receive $9 every other year, forever, with the first payment being next year.Suppose that $500 is invested at the end of every year for 5 years. The polynomial function that models the value of the investment is P(x) = 500x5 + 500x4 + 500x³ + 500x² + 500x, where x represents the effective interest rate plus 100%. One year after the last payment, the investment is worth $3200. Find the effective interest rate one year after the last payment, to the nearest tenth. (Note: You will need to subtract 1 from the value of x to find the effective interest rate.)