An initial investment amount P, an annual interest rate r, and a time t are given. Find the future value of the investment when interest is compounded (a) annually, (b) monthly, (c) daily, and (d) continuously Then find (e) the doubling time T for the given interest rate. P= $6500, r= 2. 85%, t= 7 yr
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- Redbird Company is considering a project with an initial investment of $265,000 in new equipment that will yield annual net cash flows of $45,800 each year over its seven-year life. The companys minimum required rate of return is 8%. What is the internal rate of return? Should Redbird accept the project based on IRR?Falkland, Inc., is considering the purchase of a patent that has a cost of $50,000 and an estimated revenue producing life of 4 years. Falkland has a cost of capital of 8%. The patent is expected to generate the following amounts of annual income and cash flows: A. What is the NPV of the investment? B. What happens if the required rate of return increases?If you invest $15,000 today, how much will you have in (for further instructions on future value in Excel, see Appendix C): A. 20 years at 22% B. 12 years at 10% C. 5 years at 14% D. 2 years at 7%
- Mason, Inc., is considering the purchase of a patent that has a cost of $85000 and an estimated revenue producing lite of 4 years. Mason has a required rate of return that is 12% and a cost of capital of 11%. The patent is expected to generate the following amounts of annual income and cash flows: A. What is the NPV of the investment? B. What happens if the required rate of return increases?Define the stated (quoted) or nominal rate INOM as well as the periodic rate IPER. Will the future value be larger or smaller if we compound an initial amount more often than annually—for example, every 6 months, or semiannually—holding the stated interest rate constant? Why? What is the future value of $100 after 5 years under 12% annual compounding? Semiannual compounding? Quarterly compounding? Monthly compounding? Daily compounding? What is the effective annual rate (EAR or EFF%)? What is the EFF% for a nominal rate of 12%, compounded semiannually? Compounded quarterly? Compounded monthly? Compounded daily?Assume that an investment of 100,000 produces a net cash flow of 60,000 per year for two years. The discount factor for year 1 is 0.89 and for year 2 is 0.80. The NPV is a. 0 b. 6,800 c. 1,400 d. (4,000)
- How much must be invested now to receive $30,000 for 10 years if the first $30.000 is received one year from now and the rate is 8%?Jullo Company is considering the purchase of a new bubble packaging machine. If the machine will provide $20,000 annual savings for 10 years and can be sold for $50,000 at the end of the period, what is the present value of the machine investment at a 9% interest rate with savings realized at year end?(1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest rate is 10%, compounded semiannually? (2) What is the PV of the same stream? (3) Is the stream an annuity? (4) An important rule is that you should never show a nominal rate on a time line or use it in calculations unless what condition holds? (Hint: Think of annual compounding, when INOM = EFF% = IPER.) What would be wrong with your answers to parts (1) and (2) if you used the nominal rate of 10% rather than the periodic rate, INOM/2 = 10%/2 = 5%?
- Buena Vision Clinic is considering an investment that requires an outlay of 600,000 and promises a net cash inflow one year from now of 810,000. Assume the cost of capital is 10 percent. Required: 1. Break the 810,000 future cash inflow into three components: a. The return of the original investment b. The cost of capital c. The profit earned on the investment 2. Now, compute the present value of the profit earned on the investment. 3. Compute the NPV of the investment. Compare this with the present value of the profit computed in Requirement 2. What does this tell you about the meaning of NPV?Consider the following investment. (Round your answers to the nearest cent.) $5,600 at 6 3/4% compounded quarterly for 8 1/2 years (a) Find the future value of the given amount.$ (b) Interpret the future value of the given amount. After 8 1/2 years, the investment is worth $ .*Using Matlab* The current amount A of a principal P invested in a savings account paying an annual interest rate r is given by A = P(1+r/n)^(nt) where n is the number of times per year the interest is compounded. For continuous compounding, A = Pe^(rt). Suppose $10,000 is initially invested at 2.5 percent (r = 0.025). a. Plot A versus t for 0 ≤ t ≤ 20 years for four cases: continuous compounding, annual compounding (n = 1), quarterly compounding (n = 4), and monthly compounding (n = 12). Show all four cases on the same subplot and label each curve. On a second subplot, plot the difference between the amount obtained from continuous compounding and the other three cases. b. Redo part a, but plot A versus t on log-log and semilog plots. Which plot gives a straight line?