Suppose that an annuity will provide for 20 annual payments of 1400 dollars, with the first payment coming 11 years from now. If the nominal rate of interest is 8.6 percent convertible monthly, what is the present value of the annuity? Answer= dollars.
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- You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years. Which table will help you determine the value of your account at the end of 12 years? A. future value of one dollar ($1) B. present value of one dollar ($1) C. future value of an ordinary annuity D. present value of an ordinary annuityDefine 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?Suppose you are going to receive $5,000 per year for 8 years. The appropriate interest rate is 10 percent. What is the present value of the payments if they are in the form of an ordinary, a. anhuity? b. What is the present value if the payments are an annuity due?
- Suppose you are going to receive $13,500 per year for five years. The interest rate is 8.4%a. What is the present value of the payments if they are in the form of an ordinary annuity? What is the present value if the payments are an annuity due?b. Suppose you plan to invest the payments for five years. What is the future value if the payments are an ordinary annuity? What if the payments are annuity due?c. Which has the highest present value (future value), the ordinary annuity or annuity due?Suppose you are going to receive $10,000 per year for 5 years. The appropriate interest rate is 11%. What is the present value of the payments if they are in the form of an ordinary annuity?What is the present value of a ten year annuity whose payment will be $20,000 next year andthen will increase at 3% every year as a protection from inflation? The discount rate on the annuityis 6.4%.
- Suppose payments will be made for 5 1 4 years at the end of each month from an ordinary annuity earning interest at the rate of 4.75%/year compounded monthly. If the present value of the annuity is $44,000, what should be the size of each payment from the annuity? (Round your answer to the nearest cent.)Suppose you're going to receive $7800 per year for five years. the appropriate discount rate is 7.5%. A.What is the present value of the payments if they are in the form of an ordinary annuity? What is the present value if the payments are an annuity due? B. Suppose you plan to invest the payments for five years. What is the future value if the payments are an ordinary annuity? What if the payments are in annuity due? C. Which has the higher present value, the ordinary annuity or the annuity due? Which has a higher future value? Will this always be true?You may purchase an annuity that will pay you 300000 in income per year starting one year from now and continuing for a total 22 years, or 22 payments. Assuming an annual risk-free interest rate of 4%, what is a fair price for this annuity?
- 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?If the future value of an ordinary, 4-year annuity is $1,000 and interest rates are 6 percent, what is the future value of the same 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)