Which of the following is the formula for the future value of an annuity? Multiple choice question. FVA = C ((1+r)t–1r)(1+r)t–1r FVA = C (1−1(1+r)tr)1-1(1+r)tr FVA = C ((1–r)t+1r)
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Which of the following is the formula for the
FVA = C ((1+r)t–1r)(1+r)t–1r
FVA = C (1−1(1+r)tr)1-1(1+r)tr
FVA = C ((1–r)t+1r)
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- Solve this question.Which of following formulas is used to calculate the present value of a perpetual annuity? Seleccione una: a. P= f / (1+i)^n b. P= f / (i - g) c. P= a / (i - g) d. P= a / (1+i)^n e. F = P * (1+i)^nIn the time diagram below, which of the following concepts is depicted? 0 PV $1 2 $1 3 $1 O Present value of an annuity due O Future value of an ordinary annuity Present value of an ordinary annuity Future value of an annuity due 4 $1
- To determine the converted table factor for the present value of an annuity due, one must find the factor for the present value of an ordinary annuity for n + 1 and then add 1. n − 1 and then subtract 1. n − 1 and then add 1. n + 1 and then subtract 1.The formula 1/(1 + r)t is used to calculate Multiple Choice The present value annuity factor. The present value interest factor. The future value interest factor. The present value of $1 occurring t periods from now.Prove: FVA of an Ordinary Annuity times (1+i) = FVA of an Annuity Due, where i= interest rate. SHow all work
- For each of the following situations, identify (1) the case as either (a) a present or a future value and (b) a single amount or an annuity, (2) the table you would use in your computations (but do not solve the problem), and (3) the interest rate and time periods you would use. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided. Round "Table Factors" to 4 decimal places.)a. You need to accumulate $20,000 for a trip you wish to take in five years. You are able to earn 10% compounded semiannually on your savings. You plan to make only one deposit and let the money accumulate for five years. How would you determine the amount of the one-time deposit?b. Assume the same facts as in part (a) except that you will make semiannual deposits to your savings account. What is the required amount of each semiannual deposit?1. You want to retire after working 40 years with savings in excess of $1,000,000. You expect to save $4,000 a year for 40 years…CONCEPT MAPPING: Make a concept map from the given words below by arranging the word into an idea and connect by either a word or a phrase. (1+1)n- FER j Annuity Future Value Cash Flow Fair Market Value General ordinary annuity General annuity 1-(1+))" Present Value P=RFor each of the following situations, identify (1) the case as either (a) a present or a future value and (b) a single amount or an annuity, (2) the table you would use in your computations (but do not solve the problem), and (3) the interest rate and time periods you would use. (PV of $1, EV of $1. PVA of $1, and EVA of $1) Note: Use appropriate factor(s) from the tables provided. Round "Table Factors" to 4 decimal places. a. You need to accumulate $11,800 for a trip you wish to take in four years. You are able to earn 8% compounded semiannually on your savings. You plan to make only one deposit and let the money accumulate for four years. How would you determine the amount of the one-time deposit? b. Assume the same facts as in part (a) except that you will make semiannual deposits to your savings account. What is the required amount of each semiannual deposit? 1. You want to retire after working 40 years with savings in excess of $1,360,000. You expect to save $5,440 a year for 40…
- -----Future Value of an Annuity Refer to each case in the table below to answer what is required in this problem. Required: Find the future value of the annuity, assuming that it is (1) An ordinary annuity. (2) An annuity due. Compare your findings in parts a(1) and a(2). All else being identical, which type of annuity—ordinary or annuity due—is preferable? Explain why.To find the present value (PV) of an ordinary annuity, a. the interest is compounded and then subtracted from the FV. O b. each payment is divided by (1+1)* c. each payment is multiplied by (1+1). O d. the future value (FV) is divided by the interest rate. e. the future value is divided by (1+1)*: