Question

In: Finance

You want to have $2.5 million in real dollars in an account when you retire in...

You want to have $2.5 million in real dollars in an account when you retire in 40 years. The nominal return on your investment is 10.3 percent and the inflation rate is 3.7 percent.
 
What real amount must you deposit each year to achieve your goal? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Solutions

Expert Solution

Real rate=(1+nominal rate)/(1+inflation rate)-1

=(1+0.103)/(1+0.037)-1

=(1.103/1.037)-1

0.06364513(Approx)

Future value of annuity=Annuity[(1+rate)^time period-1]/rate

2,500,000=Annuity[(1+0.06364513)^40-1]/0.06364513

2,500,000=Annuity*169.6858857

Annuity=2,500,000/169.6858857

which is equal to

=$14733.11(Approx).


Related Solutions

You want to have $3 million in real dollars in an account when you retire in...
You want to have $3 million in real dollars in an account when you retire in 30 years. The nominal return on your investment is 11 percent and the inflation rate is 2.5 percent. What real amount must you deposit each year to achieve your goal?
You want to have $6 million in real dollars in an account when you retire in...
You want to have $6 million in real dollars in an account when you retire in 40 years. The nominal return on your investment is 13 percent and the inflation rate is 5.1 percent.    What real amount must you deposit each year to achieve your goal? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
You want to have $2 million in real dollars in an account when you retire in...
You want to have $2 million in real dollars in an account when you retire in 40 years. The nominal return on your investment is 13 percent and the inflation rate is 5 percent. What real amount must you deposit each year to achieve your goal? Multiple Choice • $8,531.47 • $1,972.96 • $8,958.04 • $8,872.73 • $8,104.90
You want to have $1.05 million in real dollars in an account when you retire in...
You want to have $1.05 million in real dollars in an account when you retire in 38 years. The nominal return on your investment is 8 percent and the inflation rate is 1.5 percent. What is the real amount you must deposit each year to achieve your goal? A. $10,667.67 B. $10,878.49 C. $11,194.39 D. $11,302.03 E. $11,744.12
You want to have $3 million in real dollars in an account when you retire in 30 years
You want to have $3 million in real dollars in an account when you retire in 30 years. The nominal return on your investment is 13 percent and the inflation rate is 3.7 percent. What real amount must you deposit each year to achieve your goal? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Deposit amount = _______ 
You want a million dollars in the bank when you retire. Save $5000 this year and...
You want a million dollars in the bank when you retire. Save $5000 this year and increases by 2% every subsequent year in a bank that offers 5% interest. How many years before you can retire?
You want to retire 35 years from today with $2.5 million in your Individual Retirement Account...
You want to retire 35 years from today with $2.5 million in your Individual Retirement Account (IRA). You currently have 100,000.00 saved in your IRA which is earning 9.00% annually. What amount would you need to save and deposit at the beginning of each quarter to achieve your retirement goal? Note that you are making the deposits quarterly, not annually.
1- ) You want to have $3 million when you retire in 40 years. If you...
1- ) You want to have $3 million when you retire in 40 years. If you can earn 12% per year, how much do you need to deposit on a monthly basis if the first payment is made in one month? 2- ) What if the first payment is made today? 3- ) You are considering ABC’s preferred stock that is expected to pay a quarterly dividend of $1.00 forever. If your desired return is 10% per year, how much...
You would like to have $5 million dollars when you retire at age 65. You are...
You would like to have $5 million dollars when you retire at age 65. You are 25 years old and you want to make your first savings payment immediately. You have not saved any money for your retirement as of yet. Assume interest rate is 7%, how much money must you set aside per year until and including your 65th birthday?
You are 20 years old and you want to retire when you have saves$1 million....
You are 20 years old and you want to retire when you have saves $1 million. You have inherited $250,000 and will not add any other savings to that amount. The money will be conservatively invested at 6% per annum. At what age will you be able to retire a millionaire?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT