You are planning to take a four-month trip. You will withdraw $1000 from your account at the beginning of each of the four months. All money for the trip must be in the account when it starts, and you will make no other deposits or withdrawals. You may assume each month is 1/12 of a year.
Assume your account has an annual interest rate of 2.4%, compounded continuously. Let the beginning of your trip be at time t = 0, with t measured in years.
What is the total amount of money you need in your account at the beginning of the trip to make all four withdrawals, with no money left over at the end? Write your answer in both calculator-ready form (labeled CRF), AND as a decimal approximation with units.
You are planning to take a four-month trip. You will withdraw $1000 from your account at...
You are planning to make 18 monthly withdrawals beginning at the end of the sixth month. You plan to withdraw $101 in the sixth month and increase your withdrawals by $16 over the previous month’s withdrawal. How much should you deposit now in a bank account that pays 12% per year compounded monthly?
You are planning to make 18 monthly withdrawals beginning at the end of the sixth month. You plan to withdraw $105 in the sixth month and increase your withdrawals by $15 over the previous month’s withdrawal. How much should you deposit now in a bank account that pays 12% per year compounded monthly?
1. Suppose you accumulated $500,000, perhaps from many years of saving. You put the money in a savings plan earning 6% compounded monthly. If you want to withdraw $4,000 at the beginning of each month, how long before the savings plan is exhausted? 2. Suppose you accumulated $500,000, perhaps from many years of saving. You put the money in a savings plan earning 6% compounded monthly. If you want the plan to last 40 years, how much can you withdraw...
11. Consider a retirement planning account where you want to be able to withdraw $3500 each month for 25 years assuming your account earns 9.25% APR compounded monthly i. (4 points) How much do you need in your account at the beginning (P)?
8-One year from now, you deposit $300 in a savings account. You deposit $1,800 the next year. Then you wait two more years (until 4 years from now) and deposit $1,000. If your account always earns 6% annual interest and you make no withdrawals, how much will be in the account 11 years from now? 9-You deposit $5000 for 5 years at 4% annual interest. In 5 years, you add $15,000 to your account, but the rate on your account...
For your retirement planning, you are currently depositing $350 per month into an account that earns an 8% return, compounded monthly. In 12 years, you expect to increase that deposit by $250 per month (to a total of $600 per month). You plan to retire in 40 years. After you retire, you will move the money into a safe account that earns a guaranteed 3.5% per year. How much will you have when you retire? If you expect to live...
You want to be able to withdraw $2500 per month during your retirement. You want to be able to do this for 25 years, and your account will earn 8% interest compounded monthly. How much do you need to have in your account at the beginning of retirement? How much total money will you pull out of the account during the 25 years? How much of that money is interest?
You are planning to mak 18 monthly withdrawals beginning at the end of the sixth month. You plan to withdraw $148 in the sixth month and increase your withdrawals by $16 over the previous month's withdrawal How much should you deposit now in a bank account that pays 12% per year compounded monthly? Enter the answer with two decimal places. Do not enter the dollar ($) symbol. eg. 1234.56 Hint: Determine m and k and use the decision tree to...
8) You invest in a bank account which pays 6 percent compounded continuously. You withdraw money continuously at a rate of $4000 per month. Let B be the balance in dollars and t be time in years. Suppose you initially start with $300000. 8a) (10 points) Set up a differential equation for this situation. Include the initial condition. Do NOT solve. 8b) (8 points) Find the equilibrium for your differential equation. Is it stable or unstable?
You are planning to make monthly deposits of $190 into a retirement account that pays 13 percent interest compounded monthly. If your first deposit will be made one month from now, how large will your retirement account be in 16 years? How to do it in a financial calculator?