Bill makes deposits of 2,700 at the end of each year for n years into a fund. At time n, he uses the accumulated value of the fund to purchase an annuity immediate that makes payments of 197,909.20 at the end of each year for 5 years. The annual effective interest rate is 15%. Calculate n. O a. 26 O b. 29 O c. 28 O d. 24 O e. 22

Bill makes deposits of 2,700 at the end of each year for n years into a fund. At time n, he uses the accumulated value of the fund to purchase an annuity immediate that makes payments of 197,909.20 at the end of each year for 5 years. The annual effective interest rate is 15%. Calculate n. O a. 26 O b. 29 O c. 28 O d. 24 O e. 22

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Similar questions

An insurer needs to make the following annuity payments to an individual: £744 paid at the beginning of each year for the first 5 years and then £654 paid at the beginning of each month for the next 5 years and then £798 paid at the beginning of each quarter for the following 8 years. Assuming a nominal rate of interest of 2.7% pa convertible quarterly throughout the entire period, how much total fund the insurer needs to hold today in order to meet these payments? Express your answer in £s to 2 decimal places. (correct answer: 53269.67) (need working out)
Lidia deposits $800 at the END of each year for 8 years in a savings account. The account pays 12% interest, compounded annually. Lidia calculates that the future value of the ordinary annuity is $9839.75. What would be the future value if deposits are made at the BEGINNING of each period rather than the END? the options are: a. 8071.21 b. 9839.75 c. 11020.53 d. 11820.53
(b) Chris Hitchcock is 43 years old today and he wishes to accumulate $512.000 by his 65 th birthday so he can retire to his summer place on Lake Hopatcong. He wishes to accumulate this amount by making equal deposits on his 43 th through his 64 th birthdays. What annual deposit must Chris make if the fund will earn 8% interest compounded annually? (Round factor values to 5 decimal places, e.g. 1.25124 and final answer to 0 decimal places, e.g. 458,581.) Annual deposit eTextbook and Media Save for Later Attempts: unlimited Submit Answer %24
Alp Bilgin deposits $33.000 in asaving account that pays 9%interest compounded monthly.Four years later, he deposits $20.000. Three years after the20.000 deposit, he makesanother deposit in the amount of$16.500. Six years after the $16.500, half of the accumulatedfunds are transferred to a fundthat pays 12% interestcompounded quarterly. Howmuch money will be in accounteight years after the transfer?
Jeff deposits 10 into a fund today and 20 fifteen years later. Interest for the firstten years is credited at a nominal discount rate of d compounded quarterly, and thereafterat a nominal interest rate of 6% compounded semiannually. The accumulated balance in thefund at the end of 30 years is 100. Calculate d.
blem #1: $10,000 is used to purchase an appropriate size annuity that has level annual payments for 18 years. The price of the annuity is based on an effective annual rate of 11.2%. As each payment is received, it is put into a fund that earns an effective annual rate of 7%. (a) Determine the accumulated value of the investment at the end of 18 years. (b) If the $10,000 were put into a fund that was to produce the same final value after 18 years, what annual effective rate would that fund have to offer?
9. Raj deposits 100 into a fund at the end of each 2-year period for 20 years. The fund pays interest at an annual effective rate of i. The total amount of interest earned by the fund during the 19th and 20th years is 250. Calculate the accumulated amount in Raj's account at the end of year 20. A. 1925 B. 1950 C. 1975 D. 2000 E. 2025
Determine the monthly payment necessary to accumulate $30,000 in a fund paying 6% per year, compounded monthly, for 8 years. (Assume end-of-period deposits and compounding at the same intervals as deposits.) Round your answer to the nearest cent.
How much can be paid in scholarship at the beginning of each month if $238,500 is deposited in a trust fund if interest is 4.6% compounded monthly?
Alan makes deposits to an account at the end of every year for 12 years. His first deposit is $300 and each subsequent deposit increases by $50. If the account earns an annual effective interest rate of 4%, what is the accumulated value of the account after 12 years? 1,850 3,700 6,590 7,340 8,290
8. Deposits of 1000 are placed into a fund at the end of each year for the next 25 years for the subsequent purchase of a perpetuity. Five years after the last deposit, annual payments commence and continue forever. If i = .09 then find the amount of each payment.
Theodore makes beginning of year deposits of 3000 for 10 years into a fund earning interest at an annual effective interest rate of 5%. At the end of each year, the interest earned is deposited into a second fund earning interest at an annual effective interest rate of 6%. Find the total accumulated value of his assets at the end of 10 years.

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