Question

In: Finance

Suppose you wish to make 28 regular annual withdrawals from your bank account for the next...

Suppose you wish to make 28 regular annual withdrawals from your bank account for the next 28 years. All the withdrawals will be of the amount of $1,543. You plan to make the first withdrawal a year from now, the second one two year from now, the third one three years from now, and so on. In order to make these withdrawals possible, what is the least amount of money that you need to have in the account right now? The bank pays 7.6% annual compounding interest. Round your answer to the nearest $1, i.e., round to a whole number.

Solutions

Expert Solution

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

=1,543[1-(1.076)^-28]/0.076

=1,543*11.4657293

which is equal to

=$17692(Approx)


Related Solutions

A family wish to make 25 regular annual withdrawals from their bank account for the next...
A family wish to make 25 regular annual withdrawals from their bank account for the next 25 years. All the withdrawals will be of the amount of $3,673. They plan to make the first withdrawal a year from now, the second one two year from now, the third one three years from now, and so on. In addition, they also wish to have $2,801 remaining balance in your account right after their 25th withdrawal. If the bank pays 6% annual...
You make semiannual withdrawals from an account starting in month 6 for $500 and increasing by...
You make semiannual withdrawals from an account starting in month 6 for $500 and increasing by $100 each semiannual period thereafter until end of year 4. The account pays 12% compounded monthly (calculate and write in the test the exact effective interest rate up to 4 decimals. How much should you deposit into the account now if you want to have a balance in the account of $1500 immediately after the last withdrawal (end of year 4)?
A) Assume that you wish to make annual deposits into a savings account. The interest rate...
A) Assume that you wish to make annual deposits into a savings account. The interest rate offered by the bank is 11%, and you plan to save for the next 12 years. If your goal is for the present value of your savings to be equal to $4,058, how much money must you deposit every year? B) Assume you've just received a bonus at work of $3,812. You deposit that money in the bank today, where it will earn interest...
Suppose that you wish to purchase a car and that your bank is offering to you...
Suppose that you wish to purchase a car and that your bank is offering to you a loan. You wish to explore the nature of this loan and the payments that you would have to make given certain circumstances such as the amount that you borrow. Fortunately, Excel offers a function (PMT) that calculates the payment for a loan based on constant payments and a constant interest rate. The syntax of the function is: PMT(rate, nper, pv) where rate is...
Suppose you deposit $1000 into a bank account earning 2% interest for the next year. If...
Suppose you deposit $1000 into a bank account earning 2% interest for the next year. If the inflation rate over the next year is 1%, then what can be said about the 2% return you have earned on your deposit? a) The $1020 you will have in one year will purchase less than $1000 would purchase today. b) The $1020 you will have in one year will purchase more than $1000 would purchase today. c) The $1020 you will have...
You plan to make contributions to your retirement account for the next 20 years. After the...
You plan to make contributions to your retirement account for the next 20 years. After the last contribution, you will retire and begin withdrawing $3000 each month, and you want the money to last an additional 20 years. Assume your account earns 8% interest compounded monthly. a.How much do you need to have saved in 20 years in order to withdraw according to plan? b) How much do you need to deposit into the savings account for the next 20...
How much must be deposited in an account to have annual withdrawals of $ 2607 forever?...
How much must be deposited in an account to have annual withdrawals of $ 2607 forever? Interest is compounded quarterly and the interest rate is 9% for the first 13 years and 15 % thereafter. The answer is close to
Suppose a computer virus disables the nation's automatic teller machines, making withdrawals from the bank accounts...
Suppose a computer virus disables the nation's automatic teller machines, making withdrawals from the bank accounts less convenient. As a result, people want to keep more cash on hand, increasing the demand for money. a. Assume the Fed does not change the money supply. According to the theory of liquidity preference, what happens to the interest rate? What happens to aggregate demand? b. If instead the Fed wants to stabilize aggregate demand, how should it change the money supply? c....
Suppose a bank has an unexpectedly large number of withdrawals on a given day.
Suppose a bank has an unexpectedly large number of withdrawals on a given day. Explain one way that they can meet their required reserves.Suppose you are trying to decide whether or not to invest in a particular company. The company currently offers a $4 dividend. You expect that dividend to grow at 1.5% per year indefinitely. You require a 5% return. What is the maximum price you’re willing to pay for this stock?Give a reason why your required return could...
Assume a coupon of 6%. You borrow $10 million from the bank and you make annual...
Assume a coupon of 6%. You borrow $10 million from the bank and you make annual payments over 8 years. There is a balloon payment of $1,000,000 at the end of year 8. Determine annual interest and principal payment for each year. Please make sure your answer includes a separate statement as to the exact principal payment in year 8.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT