Bob has deposited $10,000 at the end of each year into a saving account for the last 12 years. His deposits earned interest at 4% for the first 4 years; at 5% for the next 3 years; and at 6% for the last 5 years. (a) What is the accumulated value in his saving account at the end of year 4? (b) What is the accumulated value in his saving account at the end of year 7? (c) What is the accumulated value in his saving account at the end of year 12? (d) What is the total interest earned for the 12 years?

Bob has deposited $10,000 at the end of each year into a saving account for the last 12 years. His deposits earned interest at 4% for the first 4 years; at 5% for the next 3 years; and at 6% for the last 5 years. (a) What is the accumulated value in his saving account at the end of year 4? (b) What is the accumulated value in his saving account at the end of year 7? (c) What is the accumulated value in his saving account at the end of year 12? (d) What is the total interest earned for the 12 years?

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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Suppose 27 years ago your father deposited $ 27992 in an account earning 9%. Every year you withdrew $1369 (you withdrew 27 times in total, your last withdrawal is today). How much is in the account after your last withdrawal?
Assuming you made all the weekly payments for 12 years and left the money in the account without making any additional payments or withdrawals, how much did you pay into your retirement account over the 47 years? Assuming you made all the weekly payments for 12 years and left the money in the account without making any additional payments or withdrawals, how much interest did you earn over the 47 years?
Since he was 24 years old, Ben has been depositing $225 at the end of each month into a tax-free retirement account earning interest at the rate of 3.5%/year compounded monthly. Larry, who is the same age as Ben, decided to open a tax-free retirement account 5 years after Ben opened his. If Larry's account earns interest at the same rate as Ben's, determine how much Larry should deposit each month into his account so that both men will have the same amount of money in their accounts at age 65. (Round your answer to the nearest cent.)
Victor has been consistently withdrawing money from his savings account for several years. If he withdrew $19500.0 every year for 7 years, and interest rate was 0.075 compounded annually, what was his original investment at time zero to enable these payments. At the end of 7 years his account balance was zero. Your Answer:
4-15. Mr. Smith has saved $1,800 each year for 20 years. A year after the saving period ended, Mr. Smith withdrew $7,500 each year for a period of 5 years. In the sixth and seventh years, he only withdrew $5,000 per year. In the eighth year, he decided to withdraw the remaining money in his account. If the interest rate was 6% per year throughout the whole period, what was the amount he withdrew at the end of the eighth year? (4.10)
Gabriel invested $77,000 in an account paying an interest rate of 3 1/2% compounded monthly.Isabella invested $77,000 in an account paying an interest rate of 4 1/8% compounded quarterly.After 6 years, how much more money would Isabella have in her account than Gabriel, to the nearest dollar?
Frank deposited $8,500 into an account earning 4.5% interest compounded monthly. How much will Frank have in the account after 5 years?
On January 1, 1980, Jack deposited 1,000 in Bank X to earn interest at the rate of j per annum compounded semiannually. On January 1, 1985, he transferred his account to Bank Y to earn interest at the rate of k per annum compounded quarterly. On January 1, 1988, the balance at Bank Y is 1,990.76. If Jack could have earned interest at the rate of k per annum compounded quarterly from January 1, 1980 through January 1, 1988, his balance would have been 2,203.76. Calculate the ratio k/j.
Kia deposited $1,100, at the BEGINNING of each year for 25 years in a credit union account. If the account paid 8% interest, compounded annually, use the appropriate formula to find the future value of her account. A. $73,441.24 B. $80,416.53 C. $86,849.86 D. $87,949.86
Craig Daniel opens a new savings account. He deposits $12,000 at 12% compounded semiannually. At the start of the fourth year, Craig deposits an additional $50,000 that is also compounded semiannually at 12%. At the end of six years, the balance in Craig Daniel's account is : (due to rounding in the order of calculations, select the answer within $1 or $2 dollars)
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.
Nikul

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