Question

In: Economics

At 6% effective annual interest, approximately how much will be accumulated in ten years if three...

At 6% effective annual interest, approximately how much will be accumulated in ten years if three payments of $100 are deposited every other year for four years, with the first payment occurring at t = 0?

. (A) $180

. (B) $480

. (C) $510

. (D) $540

Solutions

Expert Solution

Ans: $480

Explanation:

Present value = 100 + 100(P/F, 6%, 2) + + 100(P/F, 6%, 4)

                       = 100 + 100(0.8900) + 100(0.7921)

                       = 100 + 89 + 79.21

                       = 268.21

Future value = PV(F/P, i, n)

                     = 268.21(F/P, 6%, 10)

                     = 268.21(1.791)

                     = $480

Thus, option [B] is correct answer.


Related Solutions

At 4% effective annual interest, what is the accumulated amount at the end of ten years...
At 4% effective annual interest, what is the accumulated amount at the end of ten years (Future worth) if $50 is invested at end of each year for ten years?
Find the accumulated value of $4,715 invested for 13 years if the annual effective rate of...
Find the accumulated value of $4,715 invested for 13 years if the annual effective rate of discount is 5% for the first 7 years and a nominal rate of discount of 3.8% per year compounded bi-monthly (i.e., every two months) is used thereafter
Convert the constant annual effective rate 2.3443% to force of interest δ , determine the accumulated...
Convert the constant annual effective rate 2.3443% to force of interest δ , determine the accumulated amount in your account at 31 December 2020 (ten years in total) according to the following deposit patterns. i) Deposit $5,000 per annum continuously over 10 years. ii) Deposit $5,000 continuously for the first year and keeps increasing by $1000 in the subsequent years until the yearly continuous rate of deposit achieves $9,000, then remains at $9,000 in all the following years. iii) Deposit...
Convert the constant annual effective rate 2.3443% to force of interest δ , determine the accumulated...
Convert the constant annual effective rate 2.3443% to force of interest δ , determine the accumulated amount in your account at 31 December 2020 (ten years in total) according to the following deposit patterns. i) Deposit $5,000 per annum continuously over 10 years. ii) Deposit $5,000 continuously for the first year and keeps increasing by $1000 in the subsequent years until the yearly continuous rate of deposit achieves $9,000, then remains at $9,000 in all the following years. iii) Deposit...
$5000 is borrowed, to be repaid in three equal, annual payments with 10% interest. Approximately how...
$5000 is borrowed, to be repaid in three equal, annual payments with 10% interest. Approximately how much principal is amortized with the second payment? $2,010.57 $1,510.57 $900.68 $1,661.63 include calculations please
How much interest is included in the accumulated value of $82.64 paid at the end of...
How much interest is included in the accumulated value of $82.64 paid at the end of each month for four years if interest is 6.5% compounded monthly?
How much is $100 worth 2 years from now if the annual rate of interest is...
How much is $100 worth 2 years from now if the annual rate of interest is 12% and compounding frequency is: (Hint: figure out the correct “m” and apply the FVn formula) a) Yearly b) 18 seconds c) 4.3 Months d) Every 4 years
A. An investor places $1,000 in a Certificate of Deposit that pays 1.5% annual interest. If interest is compounded annually, how much will the investor have after three years?
  A.  An investor places $1,000 in a Certificate of Deposit that pays 1.5% annual interest. If interest is compounded annually, how much will the investor have after three years? B. Using the same information in problem 1, how much would the investor have if interest was compounded quarterly? C. An investor has $1,000 and wants to open a Certificate of Deposit. If Citibank offers a CD that pays interest semiannually at a rate of 1.3% while Chase offers a CD...
9. How much interest is earned in 6 years on $8800 deposited in an account paying...
9. How much interest is earned in 6 years on $8800 deposited in an account paying 7% interest, compounded semiannually? (Round your answer to two decimal places.) 10.$15,000 is deposited for 8 years in an account earning 6% interest. (Round your answers to two decimal places.) (a) Calculate the future value of the investment if interest is compounded semiannually. $ (b) Calculate the future value if interest is compounded quarterly. $ (c) How much greater is the future value of...
effective annual interest rate
You have received a loan from a bank with a quoted rate of 18 percent compounded monthly. What is the Effective annual interest rate of the loan?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT