A saver plans to make 25 deposits of 100 at the end of each year. If the interest rate were 6% effective per annum, he would accumulate a fund of amount F on the date of the last payment. The saver makes the first 10 deposits of 100. However, the account only credits an effective annual interest rate of 5%. Therefore, the saver determines that he must increase each of the remaining 15 deposits to X so that he can accumulate the desired fund of F. Assuming that the fund continues to earn 5% effective annual interest, find X.

A saver plans to make 25 deposits of 100 at the end of each year. If the interest rate were 6% effective per annum, he would accumulate a fund of amount F on the date of the last payment. The saver makes the first 10 deposits of 100. However, the account only credits an effective annual interest rate of 5%. Therefore, the saver determines that he must increase each of the remaining 15 deposits to X so that he can accumulate the desired fund of F. Assuming that the fund continues to earn 5% effective annual interest, find X.

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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You have finished your time at Kelley and need to start thinking about retirement. You plan on working for 30 moreyears and then retire. Upon your retirement 30 years from today, you plan to have enough money to withdraw $75,000every 6 months, with the first payment coming exactly six months after your retirement day. You expect yourretirement account to earn a return of 8% APR (stated rate), compounded quarterly, on all funds in the retirementaccount. Assume you want to draw on the retirement fund for 20 years after your retirement (40 semiannualwithdrawals), and you want to fund the account with annual level payments, with the first payment being made oneyear from today and the last payment occurring the day of your retirement (30 total payments into the retirementaccount). a) How much do you need in the account on your retirement day to fund the expected semiannual withdrawals?b) How much does each annual payment need to be for the next 30 years to fund the retirement account?
Tony Sanchez plans to retire and to withdraw 10 annual withdrawals that will start at P60,000 at the end of the first year and decrease by P5,000 each year. How much money must be initally deposited in a saving account at the security bank, which pays an interest rate if 5% per year?
You deposit $1,000 in a fund at the end of each year for a 10- year period. The fund pays 5% compounded annually. How much money is available to withdraw immediately after your last deposit?
For planning purposes, an individual wants to be able to spend $90,000 per year, at the end of each year, for an anticipated 30 years in retirement. In order to fund this retirement account, he plan to make annual deposits for 20 years at the end of his each working year. What is the amount he need deposit each year to fund his desired retirement spending? Use 10% as an annual simple rate for all calculations.
Assume that you want to have $ 4450 saved in a sinking fund in 1 year. The account pays 2% compounded monthly. What should be your monthly payments?
suppose that 4,500 pesos is deposited each year into a bank account that pays 8% interest compounded quarterly how much would be accommodated in his fund by the end of the fourth year. the first payment occurs at time zero. draw the complete diagram.
You build a retirement fund by continuously paying into the fund for 30 years, at a rate of 5,000 per year at an effective annual interest rate of 9%. After 30 years, you buy a 30-year annuity immediate with your fund at an effective annual interest rate of 8%. The annuity pays P after one year, and payments increase by 5% thereafter. Find P
Tom was trying to determine the best way to save for his retirement. He was selecting between two plans and reasoned that they would provide him the same yield at the end of the terms. Plan A: Deposit $250 per month at 8% annual interest, compounded monthly, for 20 years. Plan B: Deposit $500 per month at 8% annual interest, compounded monthly, for 10 years. Is Tom correct? If not, which plan would provide him the larger annuity? Select the correct answer below: Yes, Tom is correct. Since he is doubling his monthly payment, he can cut the investment time by half. The same amount is deposited either way. No. Plan A will provide a larger savings since there is more time for compound interest to take effect. No. Plan B will provide a larger savings since he is depositing more each month, there is a larger principal for interest to be compounded upon. There is not enough information to determine the answer.
Nick set up a savings plan with CIBC whereby he deposits $337 at the end of each quarter for 4 years. Interest throughout the 4-year time period is 1.58% compounded quarterly. The amount in his account at that time will become a term deposit withdrawable after a further 9 years, where interest changes to 4.58% compounded semi-annually. Calculate the total interest earned on the investment. Round your answer to the nearest dollar. Full solution to this problem required.
A lump sum S deposited into either fund X or fund Y will be exactly sufficient to provide a perpetuity of $100 per year with the first payment due at the end of one year. Fund X will earn interest at an effective annual rate of 10% for the first 30 years and 6% thereafter. Fund Y will earn interest at a level effective annual rate of j. In which of the following ranges is j? someone help?
If you save $2,000 at the beginning of every year for seven years , for how long can you withdraw $2,760 at the beginning of each year starting seven years from now, assuming that interest is 5% compounded annually.

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