Question

In: Economics

An engineer deposits $500 semiannually in his savings account for 5 years at 8% interest compounded...

An engineer deposits $500 semiannually in his savings account for 5 years at 8% interest compounded semiannually. Then, for 6 years he makes no deposits or withdrawals. The amount in the account after 11 years is about?

A.

$9726

B.

$9526

C.

$9626

D.

$9826

Solutions

Expert Solution

i = 8%/2 = 4% per semiannual period

t = 11*2 = 22 semiannual periods

10 semiannual deposits and 12 periods of no deposit or withdrawal

FW of account = 500*(F/A,4%,10)*(F/P,4%,12)

= 500*12.006107*1.601032

= 9611.07 ~ 9626

option C is closest to answer,


Related Solutions

You deposit ​$1000 in an account that pays ​8% interest compounded semiannually. After 5 ​years, the...
You deposit ​$1000 in an account that pays ​8% interest compounded semiannually. After 5 ​years, the interest rate is increased to 8.12​% compounded quarterly. What will be the value of the account after a total of 10 ​years?
An engineer has been making annual deposits of $5,000 for 10 years into a savings account...
An engineer has been making annual deposits of $5,000 for 10 years into a savings account earning 8% interest. He/she decides to take a mid-life mini-retirement, and withdraws $5,000 for the next 5 years from the savings account (end of years 11, 12, 13, 14, and 15). At the end of the 5 year retirement they return to the workforce and deposit $15,000 every year for the next 10 years (end of years 16,17,....25). What is the Value of the...
An individual initially deposits $4,000 into an account that pays interest at 8% per year compounded...
An individual initially deposits $4,000 into an account that pays interest at 8% per year compounded quarterly. A $200 deposit is made in the first month of the second year with deposits increasing by $40 per month until the end of the third year. Beginning in the first month of the fifth year, withdrawals of $100 per month are taken out of the account until the end of the fifth year. Compute the amount of money in the account to...
You will deposit $10,000 today. It will grow for 8 years at 10% interest compounded semiannually....
You will deposit $10,000 today. It will grow for 8 years at 10% interest compounded semiannually. You will then withdraw the funds annually over the next 6 years. The annual interest rate is 8%. Your annual withdrawal will be: Use Appendix A and Appendix D to calculate the answer.
Step 1: The interest in the account is compounded semiannually, so the interest is added to...
Step 1: The interest in the account is compounded semiannually, so the interest is added to the principal every six months. Divide the annual amount of interest — 5 percent, i.e., .05 percent — by two to determine interest paid at the end of each six-month period. Every six months, the saver would receive .025 (.05 ÷ 2) interest on the principal plus any accumulated interest. Step 2: Multiply the principal (plus any accrued interest) by the interest rate. Round...
On January 1, $5000 is deposited into a high-interest savings account that pays 8% interest compounded annually.
On January 1, $5000 is deposited into a high-interest savings account that pays 8% interest compounded annually. If all the money is withdrawn in 5 equal end-of-year sums beginning December 31 of the first year, how much will each withdrawal be?
you deposit $500 today in a savings account that pays 6% interest, compounded annually. How much...
you deposit $500 today in a savings account that pays 6% interest, compounded annually. How much will your account be worth at the end of 40 years?
Ben deposits $2,500 into an account paying 5 percent interest, compounded annually. At the same time,...
Ben deposits $2,500 into an account paying 5 percent interest, compounded annually. At the same time, Mike deposits $2,500 into an account paying 2.5 percent interest, compounded annually. At the end of five years: A. Ben will have earned somewhere between 1 and 2 times the amount of interest that Mike earned. B. Both Ben and Mike will have earned the same amount of interest. C. Ben will have earned exactly twice the amount of interest as Mike earned. D....
a)         Jasmine makes quarterly deposits of $1,000 into a savings account that pays 4 percent compounded...
a)         Jasmine makes quarterly deposits of $1,000 into a savings account that pays 4 percent compounded monthly. How much money will she have in her account in 25 years? Jasmine makes monthly deposits of $1,000 into an investment account that pays 4 percent compounded quarterly. How much money will she have in her account in 25 years? Gabriel deposits $1,000 at the beginning of each month into an investment account that pays 4 percent compounded monthly. How much money will...
1. Find the balance after 5 years in a savings account that pays 2.5% APR compounded...
1. Find the balance after 5 years in a savings account that pays 2.5% APR compounded monthly if deposits are made to the account each month in the amount of $100. 2. A friend has an IRA with an APR of 6.25%. She stared the IRA at age 25 and deposits $50 per month.           a) How much will her IRA contain when she retires at age 65?           b) How much money did she contribute to the account?          ...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT