The present value of a perpetuity is equal to the payment on the annuity, PMT, divided bythe interest rate, I : PV = PMT/I. What is the future value of a perpetuity of PMT dollars peryear? (Hint: The answer is infinity, but explain why.)
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The
the interest rate, I : PV = PMT/I. What is the
year? (Hint: The answer is infinity, but explain why.)
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- Use the formula for the present value of an ordinary annuity or the amortization formula to solve the following problem. PV=$12,00; PMT=$400; n=55; =i?The present value of an ordinary annuity, PAN, is the value today that would be equivalent to the annuity payments (PMT) received at fixed intervals over the annuity period. The equation is: Each payment of an annuity due is discounted for one less (1 + I). The equation is: PVAN= PMT 1- (1+1)N I period, so the present value of an annuity due is equal to the present value of an ordinary annuity multiplied by PVA due PVA ordinary (1+1) One can solve for payments (PMT), periods (N), and interest rates (I) for annuities. The easiest way to solve for these variables is with a financial calculator or a spreadsheet. Quantitative Problem 1: You plan to deposit $1,700 per year for 5 years into a money market account with an annual return of 2%. You plan to make your first deposit one year from today. a. What amount will be in your account at the end of 5 years? Do not round intermediate calculations. Round your answer to the nearest cent. $ b. Assume that your deposits will begin today. What…Using an annuity, you may calculate the present value of a single payment or a series of payments you will receive. Is this statement correct or incorrect?
- Perpetuity is a type of annuity which has infinite period of payments. The present value of a perpetuity equals to the annual payment divided by the required rate of return. True or FalseEach payment of an annuity due is compounded for one compounded for one Select- -Select- v period, so the future value of an annuity due is equal to the future value of an ordinary annuity v period. The equation is: FVAdue=FVAordinary (1 + I) The present value of an ordinary annuity, PVAN, is the value today that would be equivalent to the annuity payments (PMT) received at fixed intervals over the annuity period. The equation is: 1- (1+1)N PVAN= PMT Each payment of an annuity due is discounted for one -Select- period, so the present value of an annuity due is equal to the present value of an ordinary annuity multiplied by (1 + I). The equation is: DVA זדתTo 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)*:
- The future value of an ordinary annuity for any given interest rate and number of periods is always less than the future value of an annuity due for the same interest rate and number of periods. True or False?Use the formula for the present value of an ordinary annuity or the amortization formula to solve the following problem. PV $10,000; i=0.02; PMT $250; n ? (Round up to the nearest integer.) n =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.
- what would happen if interest rate is doubled in ordinary annuity?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.1. How is the future value related to the present value of a single sum? 2. How is the present value of a single sum related to the present value of an annuity? 3. Why does money have a time value? 4. Does inflation have anything to do with making a dollar today worth more than a dollar tomorrow? 5. What is a deferred annuity?