Consider an annual annuity composed by 10 payments equal to 125 € in the first 3 years and 150 € in the following period. Compute the value of the annuity after 5 years at the annual instantaneous rate 3%. a) 1297.89 € b) 1305.07 € c) 1302.8 € d) 1401.07 €
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- The following terms of payment for an annuity are as follows:Periodic payment = P20,000Payment interval = 1 monthInterest rate = 18% compounded monthly Terms = 15 years1. Find the present worth paid of all the payments if it is paid at the end of each month. 2. Find the difference between the sums of an annuity due and an ordinary annuity on these payments. 3. Find the difference between the present values of an annuity due and an ordinary annuity based on these payments. Anwers. 1. P1,214,911.246 2. P271,687.35 3. P18,628.67How much will be the future value of a 5-year ordinary annuity which has annual payments of $200, evaluated at a 7.5% semi-annual interest rate? a. $3,828.34 b. $287.13 c. $1,161.68 d. $1,348.48Find the value of an ordinary annuity if payments are made in the amount of R and interest is compounded as given. R=16000 4.4% interest compounded quarterly for 15 years future value of annuity And the amount from contributions and the amount from interest.
- Find the payment that should be used for the annuity due whose future value is given. Assume that the compounding period is the same as the payment period. 7) $8000; quarterly payments for 8 years; interest rate 4.1%.5. Find the length of the term for the following annuity due. Express your answer in years and months (from 0 to 11 months). Future Value Present Value Periodic Payment Period Interest Rate Conversion Period Payment $126,000 S770 1 month 5% annuallyFind the amount of an ordinary annuity of 20 semi-annual payments of P1, 000 if interest rate is 12% compounded semi-annually. P15,257.90 P33,567.21 P 38, 678.15 P36,785.59
- 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-HFind the difference between the sums of annuity due and ordinary annuity for the following data: Periodic payment = P 14,000; Term = 15 years; Interest rate = 10% compounded quarterly. P 63,992 O P 53,992 P 47,598 O P 37,5982. An annuity pays 200 at the end of each month for 10 years. Using an annual effective interest rate of 10%, express the present value of the annuity in terms of a1010.1 (12)
- Find the value of the annuity at the end of the indicated number of years. Assume that the interest is compounded with the same frequency as the deposit. M= $200 N=annually R=9% T=20 Answer choices: A.) 10,232.02 B.) 133,577.37 C.)11,258.31 D.)11,610.43 E.)9,664.34What is the present value of an annuity of 19 annual payments where the first payment is in twelve years and each payment is P1,200 P1589.92 P1859.92 P1958.29 P1895.29a) Compute the present value of an annuity immediate that pays £100 at the end of each month for 5 years at a rate i = 7.5% p.a. effective. b) Compute the accumulated value after 10 years of an annuity due that pays £10,000 per year in equal quarterly installments at a rate i = 7.5% p.a. effective