Kevin deposits $10,000 at the beginning of each year for ten years, into a financial instrument offering dividend rate of 10% per year. He then withdraws annualized level payments of P starting at the beginning of eleventh year and continuing for 15 years later, at dividend rate of 5% per year. At the end of 25 years, the fund balance remains zero. a. Calculate the present value of the annualized deposits he makes. b. Calculate the annualized level payment of withdraw, P. c. Determine the balance of the fund at the end of 15 years starting from the year he makes his first deposit, just before the next sixth withdraw is being made.

Kevin deposits $10,000 at the beginning of each year for ten years, into a financial instrument offering dividend rate of 10% per year. He then withdraws annualized level payments of P starting at the beginning of eleventh year and continuing for 15 years later, at dividend rate of 5% per year. At the end of 25 years, the fund balance remains zero. a. Calculate the present value of the annualized deposits he makes. b. Calculate the annualized level payment of withdraw, P. c. Determine the balance of the fund at the end of 15 years starting from the year he makes his first deposit, just before the next sixth withdraw is being made.

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

Matthew invested the profit of his business in an investment fund that was earning 3.75% compounded monthly. He began withdrawing $2,500 from this fund every 6 months, with the first withdrawal in 4 years. If the money in the fund lasted for the next 3 years, how much money did he initially invest in the fund? $ $0.00 Round to the nearest cent
son.7
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.
An inheritance of $120,000 is invested in a fund that earns 7.7% compounded semiannually. If this amount is deferred for 14 years, how much will it provide at the end of each half-year for the next 20 years? Clearly state the result.
For 9 years, Janet saved $500 at the beginning of every month in a fund that earned 4.5% compounded annually. a. What was the balance in the fund at the end of the period? Round to the nearest cent b. What was the amount of interest earned over the period? Round to the nearest cent
Joel invested $1,025 at the end of every month into an investment fund that was earning interest at 4.75% compounded monthly. She stopped making regular deposits at the end of 9 years when the interest rate changed to 5.00% compounded quarterly. However, she let the money grow in this investment fund for the next 4 years. a. Calculate the accumulated balance in her investment fund at the end of 9 years. $0.00 Round to the nearest cent b. Calculate the accumulated balance in her investment fund at the end of 13 years. $0.00 Round to the nearest cent c. Calculate the amount of interest earned over the 13-year period. $0.00 Round to the nearest cent
Erik invested $575 at the end of every month in an investment fund that was earning interest at a rate of 4.20% compounded monthly. He stopped making regular deposits at the end of 6 years when the interest rate changed to 6.69% compounded quarterly. However, he let the money grow in this investment fund for the next 4 years. a. Calculate the accumulated balance in his investment fund at the end of 6 years. b. Calculate the accumulated balance in his investment fund at the end of 10 years. c. Calculate the total interest earned over the 10-year period.
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.
Arnold deposited a monthly amount of ₱25,000.00 pesos for a period of 10 years at an interest rate of 8%. Starting the first month of 12th year he started to withdraw an amount of ₱20,000.00 per month until the end of 15th year. At the 16th year, because of health emergency, he opted to withdraw an amount of ₱200,000.00. Calculate the available fund in his account 5 years from the last withdrawal.
Mr. Deneau accumulated $98000 in an RRSP. He converted the RRSP into a RRIF and started to withdraw $5400 at the end of every three months from the fund. If interest is 4.1% compounded annually, for how long can Mr. Deneau make withdrawals? State your answer in years and months (from 0 to 11 months).
Mike wants to donate $5,000,000 to establish a fund to provide an annual scholarship in perpetuity. The fund will earn an interest rate of 4.47% p.a. compounded half-yearly (2=4.47% p.a.) and the first scholarship will be first awarded 3.5 years after the date of the donation. (b) Assume that two years after the donation, Mike needs to withdraw $1,000,000 from the fund and use the remaining amount to provide an annual scholarship in perpetuity. The time of the first scholarship will be unchanged (3.5 years after the date of the donation). What is the new annual scholarship amount (rounded to two decimal places)? a. 101959.37 O b. 206197.54 O c. 203631.53 O d. 207511.86
Chelsea invested the profit of his business in an investment fund that was earning 2.50% compounded monthly. In 4 years, he began withdrawing $3,000 from this fund at the end of every 6 months. If the money in the fund lasted for the next 6 years, how much money did he initially invest in the fund? Please include a well-labelled timeline diagram. Full solutions should be shown on separate sheets of paper. Submit your solutions. $ Round to the nearest cent

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