Which of the following end-of-period payments will provide the smallest future value to an investor over a specified term at the same (positive) interest rate and compounding frequency? O $200 payments monthly O $600 payments quarterly O$1200 payments semi-annually $2400 payments annually O All of the above will result in the same future value
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- Given the following information, calculate the rate of return. price = $501.88time to maturity = 10 yearsannual payment = $100type = 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?Assume that you will receive $2500 at the end of 6 years and want to know the present value (PV) of that future sum. Assuming a positive interest rate (required rate of return), which of the following is a possible number for the present value of the $2500? Even without knowing the interest rate, it is possible to answer this question. O A. $2742.53 B. $2632.45 O C. $1967.25 OD. $2572.50 O E. None of the above is a possible number.
- Derive an equation to find the end-of-year future sum F that is equivalent to a series of n beginning-of-year payments B at interest rate i. Then use the equation to determine the future sum F equivalent to six B payments of $100 at 8% interest.value of a future payment change as the un to recelpt is lengthened? As the interest rate increases? What's the difference between an ordinary annuity and an annuity due? Why would you prefer to receive an annuity due for $10,000 per year for 10 years than an otherwise similar ordinary annuity? iii.What is the future value (at the end of 8 years) of an annuity that pays $700 a quarter over 8 years with the payments invested at 9.3% per annum (assume compounding matches payment periods, common assumption for such problems)? (enter your answer in the following format 123456.78) Answer: Check
- What is the value of the continuously compounded nominal interest rate r if the present value of 104 to be recieved after one year is the same as the present value of 110 to be received after two years? Please solve by hand and show all the steps of answer in order me to understand it at best :)You have a choice of investing in a financial instrument that either compounds interest on an annual basis or on a quarterly basis. Which would you choose? Group of answer choices I would prefer simple interest Quarterly compounding I would be indifferent; I would earn the same with either compounding. Annual compoundingInvestment A will make N annual payments of $300.00 with the first of the N payments due immediately. Investment A has a value of $20000.00. Investment B is an ordinary annuity that will make (N minus 1) annual payments of $300.00 with the first payment due in one year from today. If investment A and investment B have the same expected return, then what is the value of investment B?
- Given an interest rate of 9 percent per year, what is the value at date t= 6 of a perpetual stream of $1,200 payments with the first payment at date >= 15? Multiple Choice O $13,433.33 O $6.691.55 O $6,825.38 O $6.139.04 O $6.557.72Consider a future value of $2,000, 8 years in the future. Assume that the nominal interest rate is 18.00%. Assume that there is semiannual compounding. Entering PMT=0 and a FV=$2,000 into a financial calculator, along with the appropriate periodic interest rate and value of N, yields a present value of approximately $ with semiannual compounding. Assume that there is quarterly compounding. Entering PMT=0 and a FV=$2,000 into a financial calculator, along with the appropriate periodic interest rate and value of N, yields a present value of approximately $ with quarterly compounding. Suppose now that the cash flow of $2,000 occurs only 1 year in the future. Assume that there is monthly compounding. Entering PMT=0 and a FV=$2,000 into a financial calculator, along with the appropriate periodic interest rate and value of N, yields a present value of approximately $ with monthly compounding.Given an annual rate of payment of f (t) = 50e0.08t at time t for 7 years and a constant force of interest 8 = 6%, Find the PV of this continuously varying payments annuity. Possible Answers A B C 374 E 376 378 D 381 383