Question

In: Economics

George deposited $10,000 in an account with the rate of return of 4%


George deposited $10,000 in an account with the rate of return of 4%. He withdrew $500 from the account in year 2 and increased the amount of his withdrawal by the same amount of $500 every year after that. What is the year number in which he will make the last withdrawal?

Please solve using formulas and not Excel.

Solutions

Expert Solution

Because when you calculate the cumulative value, present value exceeds the initial value at year 8 which is why the last withdrawal will be made in year 8 only


Related Solutions

An amount of $10,000 is deposited into a savings account that pays interest at a rate...
An amount of $10,000 is deposited into a savings account that pays interest at a rate of 7%. If 10 equal annual withdrawals are made from the account starting one year after the money was deposited, how much can be withdrawn so that in the fifth year one would be able to withdraw an additional $1,000 and the account would be depleted after 10 years? Explain verbally in detail and sketch a timeline to illustrate.
Mary deposited $5,000 in an account with the rate of return of 5%. He withdrew $300...
Mary deposited $5,000 in an account with the rate of return of 5%. He withdrew $300 from the account in year 2 and increased the amount of his withdrawal by the same amount of $300 every year after that. What is the year number in which he will make the last withdrawal? Group of answer choices.
2. If you deposited $3500 today into an account earning an 11% annual rate of return,...
2. If you deposited $3500 today into an account earning an 11% annual rate of return, what will your account be worth in 35 years? (show your work) a. in 40 years? (show your work)
1) Suppose you deposited $10,000 into a savings account today. The account pays a nominal annual...
1) Suppose you deposited $10,000 into a savings account today. The account pays a nominal annual interest rate of 12%, but interest is compounded quarterly. Assuming that you make no additional deposits into or withdrawals from the account, what will your ending balance be 10 years from today? 2) A firm expects to pay dividends at the end of each of the next four years of $2.00, $2.50, $2.50, and $3.50.  If growth is then expected to be constant at 8...
Suppose Evan deposited $10,000 into a savings account today. The account pays a nominal annual interest...
Suppose Evan deposited $10,000 into a savings account today. The account pays a nominal annual interest rate of 12%, but interest is compounded quarterly. Assuming that he makes no additional deposits into or withdrawals from the account, what will his ending balance be 10 years from today?
Matt recently deposited $27,000 in a savings account paying a guaranteed interest rate of 4 percent...
Matt recently deposited $27,000 in a savings account paying a guaranteed interest rate of 4 percent for the next 10 years. A) If Matt expects his marginal tax rate to be 32.00 percent for the next 10 years, how much interest will he earn after-tax for the first year of his investment? B) How much interest will he earn after-tax for the second year of his investment if he withdraws enough cash every year to pay the tax on the...
1.Matt recently deposited $30,000 in a savings account paying a guaranteed interest rate of 4 percent...
1.Matt recently deposited $30,000 in a savings account paying a guaranteed interest rate of 4 percent for the next 10 years. If Matt expects his marginal tax rate to be 22 percent for the next 10 years, how much interest will he earn after-tax after the fourth year of his investment if he withdraws enough cash every year to pay the tax on the interest he earns?   2. Dana intends to invest $25,000 in either a Treasury bond or a...
Suppose you have deposited $10,000 in your high-yield saving account today. The savings account pays an...
Suppose you have deposited $10,000 in your high-yield saving account today. The savings account pays an annual interest rate of 4%, compounded semi-annually. Three years from today you will withdraw R dollars. You will continue to make additional withdraws of R dollars every 6 months, until you have a zero balance after your last withdrawal 6 years from now. Find R.
You recently inherited $10,000 and deposited the money today in an investment account paying 8% compounded...
You recently inherited $10,000 and deposited the money today in an investment account paying 8% compounded annually. Inheriting this money has motivated you to plan for the future and you have decided that you would like to have $250,000 in the bank 15 years from today. To achieve this goal, in addition to the money you have already deposited in the investment account, you plan to deposit an equal amount of money in the account each year for the next...
For an investment, $25 000 is deposited into an account. The interest rate is 8% per...
For an investment, $25 000 is deposited into an account. The interest rate is 8% per annum, compounded annually, with annual payments starting in a year. How much is each payment? The textbook did not provide the value of n. This was part of a series of questions with the compounding periods changing to semi-annually, quarterly, and then monthly for the next three problems. The purpose of the problem set was to determine what happens to payments as the compounding...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT