Determine the present value P that must be invested to have the future value A at simple interest rate r after time t. A = $5500, r = 7%, t = 4 years (Round up to the nearest cent.)
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- 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?(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%?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%
- Determine the present value, P, you must invest to have the future value, A, at simple interest rate r after time t. Round answer to the nearest dollar. A=$878.00, r=13%, t=9 monthsDetermine the present value, P, you must invest to have the future value, A, at simple interest rate r after time t. Round answer to the nearest dollar. A=$5,000, r=8.2%, t=5 yearsDetermine the present value P you must invest to have the future value A at simple interest rate r after time t. A= $4000.00 r=13.0% t=39 weeks
- Find the future value FV of the given present value. (Round your answer to the nearest cent.) Present value of $3,660 at 2 3/4% for eight yearsFind the following values.Compounding/discounting occurs annually.a. An initial $200 compounded for 10 years at 4%b. An initial $200 compounded for 10 years at 8%c. The present value of $200 due in 10 years at 4%d. The present value of $1,870 due in 10 years at 8% and at 4%e. Define present value and illustrate it using a time line with data from part d. How are present values affected by interest rates?For each of the following situations involving single amounts, solve for the unknown. Assume that interest is compounded annually. (i= interest rate, and n = number of years) (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1, and PVAD of $1) (Use appropriate factor (s) from the tables provided. Round your final answers to nearest whole dollar amount.) Present Value Future Value I n ____________ $ 40,000 10% 5 $ 36,289 $ 65,000 _____ 10 $ 15,884 $ 40,000 8% ____ $ 46,651 $ 100,000 ______ 8 $ 15,376 ___________ 7% 20
- f ) You are evaluating a scenario that involves receiving a series of 50 annual payments , starting two years from now . The initial payment of $ 300 will be followed by payments growing with a geometric gradient of g = 0.5 % . Given an interest rate of 5.5 % , what is the present value ( P ) of the series ?Find the present amount needed to attain a future amount of F dollars in the given time using an annual simple interest rate of r. F = $5500, r = 7.6%, 2 years"Assume that the interest rate is 8.5% per year and you expect to receive the following stream of annual cash flows (The year 0 cash flow occurs today and the year 4 cash flow occurs exactly 4 years from today): (Year 0: $15,100); (Year 1: $21,100); (Year 2: $12,700): (Year 3: $19,250): (Year 4: $9,550); What is the current Present Value (PVO) of the stream of cash flows?" a)"$68,013- b)"$67,297" c)"$77,700 d)"$62,025" e)$64,399 f)$68,643"
