Which of the following is/are correct? Select all that apply. More frequent compounding reduces the effective annual rate, all else the same. OA financial asset with an infinite number of future cash flows can have a finite value. O An annuity is worth less in today's dollars than an annuity due, all else the same. An annuity has a greater future value than an annuity due, all else the same.
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The compounding rate is the rate at which the interest has calculated and at the time of compounding.
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- Everything else equal, the annual compounding will always give the highest future value whether lumpsum amount, annuity or uneven cash flows. Is is true or false?How would an increase in the interest rate effect the present value of an annuity problem (all other variables remain the same)For any investment, which will always have the higher future value : an ordinary annuity or an annuity due? For any debt, which will always have a higher future value: an ordinary annuity or an annuity due?
- Which of the following is true about perpetuities? O All else equal, the present value of a perpetuity is higher when the interest rate is lower. O All of those three statements are true. O If two perpetuities have the same present value and the same interest rate, they must have the same cash flows. O All else equal, the present value of a perpetuity is higher when the periodic cash flow is higher.Which one of these statements related to growing annuities and perpetuities is correct? In computing the present value of a growing annuity, you discount the cash flows using the growth rate as the discount rate. You can compute the present value of a growing annuity but not a growing perpetuity. The future value of an annuity will decrease if the growth rate is increased. An increase in the rate of growth will decrease the present value of an annuity. The present value of a growing perpetuity will decrease if the discount rate is increased.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?
- The larger the periodic payment of an annuity, the greater its present value. True or False?A growing annuity is a cash flow stream with ________ (an infinite, a finite) life, while a growing perpetuity is a cash flow stream with a _______ (infinite or finite) . Therefore, given same initial cash flow, growth rate, and interest rate, the present value of the perpetuity will always be ___________ (greatwe rhan, less than, or equal to) the present value of the annuity.In comparing an ordinary annuity and an annuity due, which of the following is true? a. The future value of an annuity due is always less than the future value of an otherwise identical ordinary annuity, since one less payment is received with an annuity due. b. The future value of an annuity due is always greater than the future value of an otherwise identical ordinary annuity. c. The future value of an ordinary annuity is always greater than the future value of an otherwise identical annuity due.
- 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?Why does an annuity due always have a higher future value than an ordinaryannuity?19. How would a decrease in the interest rate effect the future value of a lump sum, single amount problem (all other variables remain the same)? A. Increase the time needed to save.B. Increase the present value.C. Decrease the present value.D. Increase the future value.E. Decrease the future value.