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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PROBLEM SITUATION: An employee decided to invest in a trust fund which gives an interest rate of 2% compounded quarterly. Employee’s monthly salary is ₱70,000 and decided to invest 10% of her salary per month in the fund for 4 years. On the 5th year, the employee got promoted and her salary was increased to ₱100,000. She continued to invest the same percentage of her salary to the fund for 7 more years until she retires. QUESTION: What will be the interest rate per interest period if convert to compounding monthly? 1.9967% 0.0166442% 2.0151% 0.166389%
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Vv john made a deposit of 1000 into a fund at the beginning of each year for 20 years. at the end of year 20 years, he began making semiannual withdrawls of 3000 at the beginning of each 6 months, with a smaller final withdrawl to exhaust the fund. the fund earned an annual effective rate of 8.16%. calculate the amound of the final withdrawl
H5. Jordan deposited $23,500 into a fund at the beginning of every quarter for 20 years. He then stopped making deposits into the fund and allowed the investment to grow for 3 more years. The fund was growing at 4.31% compounded monthly. a. What was the accumulated value of the fund at the end of year 20? Round to the nearest cent b. What was the accumulated value of the fund at the end of year 23? Round to the nearest cent c. What is the total amount of interest earned over the 23-year period? Round to the nearest cent Show proper step by step calculation
1. Emily and Jimmy each make deposits of 150 at the end of each year for 30 years. Starting at the end of the 31st year, Emily makes annual withdrawals of K for 10 years and Jimmy makes annual withdrawals of L for 10 years. Both funds have a balance of 0 after the last withdrawal. Emily's fund earns an annual effective interest rate of 8%. Jimmy's fund earns an annual effective interest rate of 6%. Calculate K-L Solution:
A corporation creates a sinking fund in order to have $910,000 to replace some machinery in 9 years. How much should be placed in this account at the end of each month if the annual interest rate is 5.7% compounded monthly? (Round your answers to the nearest cent.) $ How much interest would they earn over the life of the account? $ Determine the value of the fund after 2, 4, and 6 years. 2 years $ 4 years $ 6 years How much interest was earned during the third month of the 4th year? $
Miguel deposited $11,500 into a fund at the beginning of every quarter for 15 years. He then stopped making deposits into the fund and allowed the investment to grow for 4 more years. The fund was growing at 2.69% compounded monthly. a. What was the accumulated value of the fund at the end of year 15? b. What was the accumulated value of the fund at the end of year 19? c. What is the total amount of interest earned over the 19-year period? 2 company deposited $8,500 into an investment fund at the beginning of every quarter for 4 years. It then stopped making deposits into the fund and allowed the investment to grow for 3 more years. The fund was growing at 4.50% compounded monthly. a. What was the accumulated value of the fund at the end of 4 years ? b. What was the accumulated value of the fund at the end of 7 years ? c. What was the amount of interest earned over the 7-year period?
A corporation creates a sinking fund in order to have $910,000 to replace some machinery in 8 years. How much should be placed in this account at the end of each month if the annual interest rate is 6.8% compounded monthly? (Round your answers to the nearest cent.) $ How much interest would they earn over the life of the account? $ Determine the value of the fund after 2, 4, and 6 years. 2 years S 4 years S 6 years S How much interest was earned during the second month of the 6th year? S
11. A man deposited P6,000 at a rate of 10% per annum. However, to add more fund, he deposits P500 per year that started one year after he deposited the P6,000. If he is withdrawing P1,500 per year for his expenses, for how long will the fund last and what will be the balance in the fund after the last withdrawal was made?
(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
A corporation creates a sinking fund in order to have $510,000 to replace some machinery in 12 years. How much should be placed in this account at the end of each quarter if the annual interest rate is 6.3% compounded quarterly? (Round your answers to the nearest cent.) $ How much interest would they earn over the life of the account? $ Determine the value of the fund after 2, 4, and 6 years. 2 years $ 4 years $ 6 years $ How much interest was earned during the fourth quarter of the 5th year? $

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