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![An annuity pays 2 at the end of each
year
for 18
years.
for 9
Another annuity pays 2.5 at the end of each
At an effective annual interest rate of i, 0 < i < 1, the present values of both annuities
are equal. Calculate i.
year
years.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae6d9b5a-d4cf-4bab-84ea-a9981fed24e1%2F4599a528-6ea4-4107-9c17-dd0b0b47e4f2%2F70jdcvm_processed.png&w=3840&q=75)
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- The present values of the following three annuities are equal: • perpetuity immediate paying 1 year year, calculated at an annual effective interest rate of 7.25%. • 50-year annuity immediate paying 1 each year, calculated at an annual effective interest rate of j%. • n−year annuity immediate paying 1 each year, calculated at an annual effective interest rate of j − 1%. Calculate n.A perpetuity has payments of 1, 1.2, 1, 1, 3, 1, 1, 4. Payments are made at the end of each year. Assuming an annual effective interest rate of 5%, find the present value of the perpetuity. A B с D E 45 60 67 119 440 4Complete the ordinary annuity. Amount of payment = $12,100 Payment Payable = Semiannually Years = 9 Interest Rate = 6%
- Calculate the present value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1, PV of $1, FVA of $1, and PVA of $1) Annuity Payment Annual Rate Interest Compounded Period Invested Present Value of Annuity 1. $5,200 7.0 % Annually 5 years 2. 10,200 10.0 % Semiannually 3 years $4,264.21 3. 4,200 12.0 % Quarterly 2 yearsFind 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 37,598At an annual effective interest rate of i, i > 0%, the present value of a perpetuity paying 10 at the end of each 3-year period, with the first payment at the end of year 6, is 32. At the same annual effective rate of i, the present value of a perpetuity-immediate paying 1 at the end of each 4-month period is X. Calculate X. a. 40.8 b. 39.8 41.8 d. 42.8 38.8 C. e.
- The FV of an annuity where payments are made at the beginning of the year is $6,456 and the FV of an annuity where payments are made at the end of the year is $5946. If the annuity is for 5 years; find the interest rate.The present values of the following three annuities are equal: (i) A perpetuity-immediate paying 1 each year, calculated at an annual effective rate of 5.18% (ii) A 46-year annuity-immediate paying 1 each year, calculated at an annual effective rate of i%. (iii) An n-year annuity-immediate paying 1 each year, calculated at an annual effective rate of (i - 0.846)% Calculate n. O a. 36 O b. 34 O c. 30 O d. 32 O e. 28In the provided formulas, P is the deposit made at the end of each compounding period, r is the annual interest rate of the annuity in decimal form, n is the number of compounding periods per year, and A is the value of the annuity after t years. Periodic Deposit $1500 at the end of every three months Rate 7.25% compounded quarterly Time…
- The present value of a perpetuity paying 11 at the end of every 4 years is 0.82. Find the annual effective rate of interest i. A. 5.51% B. 22.06% C. 33.09% D. 31.51% E. 8.82%K Use the ordinary annuity formula to determine the accumulated amount in the annuity. Round to the nearest cent. $225 is invested quarterly for 7 years at 7% compounded quarterly OA. $14,041.15 OB. $8,741.14 OC. $8,041.02 OD. $8,441.04You are given the following about two annuities-immediate: Annuity A pays 300 at the end of each year for 18 years. d ofc Annuity B pays 399.865 at the end of each year for 9 years. At an annual effective rate of interest i, the PV of both annuities are equal. Calculate i. Ponible Answers 12% 11% C 10% D 13% 14%