The present value of 15 equal payments of size $400 at the beginning of every year starting today is $3795.66. The present value of 16 equal payments of size $500 at the beginning of every year starting today is $4913.56. Calculate the annual effective interest rate i.
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- At 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.What is the future equivalent at EOY 8 of $5,000 annual payments made at the beginning of each year for 8 years at 7% annual interest rate? O a. $55,355 b. $51,644 c. $51,299 d. $54,890 e. $60,355At a annual effective rate of interest i, payment of $100 from now,$200 two years from now and $100 four years from now have a total present value of $300. Calculate i A.11.7% B.13% C.14.5% D.15.8% E.16.9%
- What will be the compounded amount on a loan of P1.500 at 12% interest compounded quarterly for 1 year? of O P16.822.63 O P1.690 O Pl,688.26 O P16.860If you borrow $7,300 at $800 interest for one year, what is your effective interest rate for the following payment plans? Note: Input your answers as a percent rounded to 2 decimal places. a. Annual payment b. Semiannual payments c. Quarterly payments d. Monthly payments Effective Rate of Interest % % % %Find the future value of the ordinary annuity. PMT= $2500, i = 7.4% interest compounded quarterly for 15 years A. $270,775.36 B. $405,910.50 C. $64,792.52 D. $398,537.55
- What is the present value of $2700 to be received in 15 years, assuming an interest rate of 12 percent, quarterly compounding? O $367.89 O $469.89 O $458.28 O $465.68Find the amount of an ordinary annuity of 20 semi-annual payments of P1, 000 if interest rate is 12% compounded semi- annually. A P15,257.90 B P33,567.21 © P 38, 678.15 D P36,785.597.If $1000 is deposited at 12.5% p.a. for one year, what is the effective annual interest rate if interest is compounded quarterly? Select one: a. 13.10% b. 12.50% c. 13.03% d. 13.05%
- Find 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 37,5981000 dollars is deposited into an account at the beginning of the year and the value at the end of five years is 1276.30. (a) If the account was subject to a force of interest δ(t) = kt where t is in years, k =? (b) If inflation is 1 percent a year, what is the adjusted effective yearly interest rate?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.