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- Question 3 (25 points): If the present value of a perpetuity is given by: where C is the periodic payments and r is the discount rate. Show that the present value of an annuity of n years is given by: 1 C - (1 + r)]What is the PV of an ordinary annuity with 10 payments of $6,600 if the appropriate interest rate is 5.5%? Select the correct answer. a. $49,766.03 b. $49,754.23 c. $49,771.93 d. $49,760.13 e. $49,748.33What is the present value annuity due of RM4,500 with a 6 percent discount rate for 5 years? Select one: a. RM24,165.790 b. RM24,318.345 c. RM24,126.590 d. RM20,093.15
- 9. Examine the time line for Now the annuity shown. 250 (1.015) 250 (1.015) 250 (1.015) E 250 (1.015)23 250 (1.015) a) What is the duration of this annuity? How can you tell? b) Determine the annual rate of interest and the number of compounding periods per year. c) Determine the present value of this annuity. d) Determine the total interest earned. ANSWER 9. a) 6 years b) 6%; 4 compounding periods per year c) $5007.60 d) $992.40 Time (3-month periods) 1 2 250 250 250 250 250 3 23 24 H-HLO 1 6. Calculating Annuity Values For each of the following annuities, calculate the present value. Annuity Payment Years Interest Rate $ 1,560 1,280 7 5% 10 20,000 18 8. 53,200 28 146. What is the present value of a OMR 1,000 ordinary annuity that earns 8% annually for an infinite number of periods? A. OMR80 B. OMR800 C. OMR1,000 D. OMR12,500
- What is the PV of an ordinary annuity with 10 payments of $7,800 if the appropriate interest rate is 5.5%? Select the correct answer. a. $58,823.08 Ob. $58,815.68 $58,793.48 d. $58,808.28 e. $58,800.88Present value of an annuity Consider the following cases. Case ◄AUA- E Amount of annuity $ 12.000 55.000 700 140.000 22.500 Interest rate 12 20 5 10 Period (years) a. Calculate the present value of the annuity assuming that it is (1) An ordinary annuity, mu 9 7 b. Compare your findings in parts al 1) and a(2). All else being identical, which of annuity-ordinary or annuity due-is preferable? Explain why. Personal Finance Problem Tume value-Annuities - Marian Kirk wishes to select the better of two 10-year annuines, C and D. Annuity C is an ordinary annuity of $2,500 per year for 10 years. Annuity D is an annuity due of $2,200 per year for 10 years. delen future value of both annuities at the end of year 10, assuming thatWhat is the PV of an ordinary annuity with 5 payments of $3,900 if the appropriate interest rate is 4.9%? a. $20,455.50 b. $19,858.66 c. $16,931.74 d. $17,761.39 e. $13,861.39
- Q.What is the present value of a perpetuity that will pay $450 per year with the first payment occurring at year eleven if the appropriate interest rate is 8.5%?Q.1.If Rs. 4 becomes Rs. 10 in 50 years at simple interest, the rate % p.a. is?What's the rate of return you would earn if you paid $3,480 for a perpetuity that pays $70 per year? a. 2.05% b. 4.02% c. 1.01% d. 4.11% e. 2.01%