2. Find an expression in terms of the nominal interest rate convertible quarterly for the accumulated value at the end of the twenty-one years of an annuity that pays $640 at the beginning of each four-month period for twenty-one years. Your expression should not be a sum of terms.
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- Find the future value of the ordinary annuity. Interest is compounded annually, unless otherwise indicated.R = $1,000, i = 0.04, n = 13Which table would you use to determine how much must be deposited now in order to provide for 5 annual withdrawals at the beginning of each year, starting one year hence? a. Future value of an ordinary annuity of 1 b. Future value of an annuity due of 1 c. Present value of an annuity due of 1 d. None of these answer choices are correct.(1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest rate is 10%, compounded semiannually? (2) What is the PV of the same stream? (3) Is the stream an annuity? (4) An important rule is that you should never show a nominal rate on a time line or use it in calculations unless what condition holds? (Hint: Think of annual compounding, when INOM = EFF% = IPER.) What would be wrong with your answers to parts (1) and (2) if you used the nominal rate of 10% rather than the periodic rate, INOM/2 = 10%/2 = 5%?
- 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-HThe difference between an ordinary annuity and an annuity due is that each of the payments of the annuity due earns interest for one additional year (period). * True FalseFor each of the following situations involving annuities, solve for the unknown (?). Assume that interest is compounded annually and that all annuity amounts are received at the end of each period. (i = interest rate, and n = number of years) Present Value Annuity Amount i n1. ? $ 3,000 8% 52. $ 242,980 75,000 ? 43. 161,214 20,000 9 ?4. 500,000 80,518 ? 85. 250,000 ? 10 4 Sandy Kupchack just graduated from State University with a bachelor’s degree in history. During her four years at the university, Sandy accumulated $12,000 in student loans. She asks for your help in determining the…
- 16.Find i (the rate per period) and n (the number of periods) for the following annuity. Monthly deposits of $345 are made for 7 years into an annuity that pays 7% compounded monthly. i= n= I resubmit mi question, but the notes its complete...17. Determine the periodic payment for the following deferred annuity. The annuity is an ordinary annuity following the period of deferral. Interest rate Compounding Term Present value (%) frequency (years) (S) Quarterly Deferral Payment period interval (months) 1 27 months 6.4 20 50,000.00For each of the following situations involving annuities, solve for the unknown. Assume that interest is compounded annually and that all annuity amounts are received at the end of each period. (i = interest rate, and n = number of years) (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) Present Value Annuity Amount i = n = $3,000 75,000 20,000 80,518 1 2 3 4 5 242,980 161,214 500,000 250,000 8% 9% 10% 5 4 8 4
- 1. Find the amount of an ordinary annuity consisting of 24 monthly payments of $150 that earn interest at 10% per year compounded monthly. Round to the nearest cent. b. Find the present value of an ordinary annuity consisting of 18 monthly payments of $150each and earning interest at 5% per year compounded monthly. Round to the nearest cent. c. True or False: The Annuities we deal with in this section are: Certain, Ordinary, and complex.How long is the period of deferral (d) if the first quarterly payment of a deferred ordinary annuity will be paid 3.5 years from today? (express your answer in years and months using two decimals; for example: 15 years and 9 months will be written as 15.75)A perpetuity of $1 each year, with the first payment due immediately, has a present value of $25 at an annual effective rate of i%. The owner exchanges it for another perpetuity with the first payment due immediately and subsequent payments due at two year intervals. What should the payment of the second perpetuity be, in order to keep the same interest rate, i%, and the same present value? A B с D E Less than $1.90 At least $1.90, but less than $1.94 At least $1.94, but less than $1.98 At least $1.98, but less than $2.02 $2.02 or more