An investment is expected to result in equal payments of $ 14300.00 at the end of each semi-annual period for the next 6 years (ordinary annuity). Compounding: 2 times per year. If the appropriate required rate of return (discount rate) is 12 %, what is the present value of the annuity stream?
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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?What is the future value of a series of $4,500 annual payments received at the end of each of the next 6 years' worth if they are invested at an annual rate of return of 7%? Answer: The FV is $32,189.81 Question: Repeat above question for annuity due.3.12 Suppose the spot rates of interest for investment horizons of 1 to 5 years are 4%, and for 6 to 10 years are 5%. (c) Compute the future value of the annuity-immediate at the end of year 10, assuming future payments earn the forward rates of interest, using equation (3.18).
- An investment is expected to result in equal payments of $25 at the end of each of the next 3 years (ordinary annuity). If the appropriate required rate of return (discount rate) is 5%, what is the present value of the annuity stream? (annual compounding) $68.08 $74.93 $21.60 O -$68.08This problem demonstrates the dependence of an annuity's future value on the size of the periodic payment. Suppose a fixed amount will be invested at the end of each year and that the invested funds will earn 5.3% compounded annually. What will be the future value of the investments after 15 years if the periodic investment is: (Do not round intermediate calculations and round your final answers to 2 decimal places.) Investment Future Value a. $2,300 per year $ b. S3, 300 per year $ c. S4, 300 per year $A one-year annuity that pays $100 semi-annually will starts its payment in 6 months from now. APR is 8 percent compounded semi-annually. a. What is the present value of the annuity? b. What is the effective annual rate? c. Now consider another one-year annuity that makes a “single” payment in a year from now. How much should it pay to the investor if it is equally valuable to the previous annuity?
- What is the future value of an ordinary annuity that pays $4,600 per year for 4 years? The appropriate interest rate is 7 percent. Answers: a. $10,000 b. $6,452 c. $20,423.74 d. $4,657 An investment will pay $600 at the end of each of the next 2 years, $700 at the end of Year 3, and $1,000 at the end of Year 4. What is its present value if other investments of equal risk earn 6 percent annually? Answers: a. $1,134 b. $5,324 c. $2,345.50 d. $2,569.77 *PLEASE SHOW ALL STEPS! CANNOT USE EXCEL TO SOLVE! CAN USE CALCULATOR FUNCTIONS!!Directions: Determine the kind of annuity used in the following situations. Then, solve the problem. Show complete solutions. What equal payments at the beginning of each 2 months for 4 years will discharge a debt of P180,000 due now if the interest rate is 18.48% compounded every 2 months? a. Kind of annuity: b. Computation:Problem 7.6. Annuity payments Suppose that a fixed-payment 15-year annuity has present value of Rs 2.5 million The annuity earns a guaranteed 9 percent annual return. If the payments are to begin at the end of current year, what is the annuity payment from this fixed- payment annuity?
- Suppose that you have inherited an annuity with the parameters given below. What is the present value of this annuity? Round your final answer to two decimals First payment: First payment occurs: Constant payment growth rate: Payment frequency: Cost of Capital: Term: Present value 424.00 2 years from now 1% Annually Annual 8% Annually 18 Years(a) What is the present value of an ordinary annuity of $405 per month for 4 years at 6% interest compounded monthly? (b) What is the present value of this investment if it is an annuity due?Suppose you are going to receive $11,000 per year for 8 years. The appropriate interest rate is 11 percent per year. Requirement 1: What is the present value of the payments if they are in the form of an ordinary (a)annuity (cash flow starts at the end of the first compounding period)? (Click to select) (b) What is the present value if the payments are an annuity due (cash flow starts at the beginning of the first compounding period)? (Click to select) Requirement 2: (a)Suppose you plan to invest the payments for 8 years, what is the future value if the payments are an ordinary annuity? (Click to select) (b)Suppose you plan to invest the payments for 8 years, what is the future value if the payments are an annuity due? (Click to select)
