4. (a) If you will be making equal deposits into a retirement account for 10 years (with each payment at the end of the year), how much must you deposit each year if the account carns 10% compounded annually and you wish the account to grow to $5,000,000 after 40 years (in time 40)? (b) How does your answer to part (a) change if the account pays interest compounded monthly at an annual rate of 10% ? Note: use monthly compounding for all calculations.

4. (a) If you will be making equal deposits into a retirement account for 10 years (with each payment at the end of the year), how much must you deposit each year if the account carns 10% compounded annually and you wish the account to grow to $5,000,000 after 40 years (in time 40)? (b) How does your answer to part (a) change if the account pays interest compounded monthly at an annual rate of 10% ? Note: use monthly compounding for all calculations.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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You want to have $60,000 in your savings account 12 years from now, and you're prepared to make equal annual deposits into the account at the end of each year. If the account pays 6.4 percent interest, what amount must you deposit each year? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Deposit amount
Suppose you put $ 475 a month for retirement into an annuity earning 5.75% compounded monthly. If you need $ 500000 to retire, in how many years will you be able to retire? Years =
You are planning to make monthly deposits of $340 into a retirement account that pays 9 percent annual interest compounded monthly. If your first deposit will be made one month from now, how large will your retirement account be in 35 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Future value
You want to have GH¢ 50,000 in your savings account five years from now, and you’re prepared to make equal annual deposits into the account at the end of each year. If the account pays 9.5 percent interest, what amount must you deposit each year?
4. You borrow $720,000 at 4.00% per year compounded monthly and you plan to pay off this loan in equal annual payments starting one year after the loan is made over a period of fifteen (15) years. What are the annual end-of-year payments? Determine the amount of interest and principal that are paid each year. What is the total interest paid for the loan? a. b. Restructure the loan in the previous question to make payments monthly. Determine the savings in interest overall. C. Restructure your payment schedule once more to make payment every two weeks. Determine the savings in interest (if any) in this case (compare to both previous repayment options). 1 OF 1
1. Five years from today, you would like to withdraw $5,000 from an account that pays an interest rate of 5% per year. How much do you need to deposit in the account one year from today in order to make the withdrawal?
You would like to have $53,000 in 13 years. To accumulate this amount, you plan to deposit an equal sum in the bank each year that will earn 6 percent interest compounded annually. Your first payment will be made at the end of the year. a. How much must you deposit annually to accumulate this amount? b. If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should this lump-sum deposit be? (Assume you can earn 6 percent on this deposit.) c. At the end of five years, you will receive $20,000 and deposit this in the bank toward your goal of $53,000 at the end of year 13. In addition to the lump-sum deposit, how much must you deposit in equal annual amounts, beginning in year 1 to reach your goal? (Again, assume you can earn 6 percent on your deposits.)
Suppose you would like to retire in 15 years. To save for retirement, you deposit an amount A into the bank at the beginning of the next 180 months. After that period, you would like to withdraw $1,000 at the beginning of the following 300 months. Assume a nominal yearly rate of 7.5% compounded monthly. What amount does A have to be?.
How to set this up in Excel?
You deposit $1.2 milion into vour account to cover expenses in the next 12 vears. The account earns interest at the rate of 4%, compounded annually. Assume you expect the balance of the account to be $0 at the end of the 12th year. A) What annual level of living expenses Will your initial deposit support. (e.g., what equal annual withdrawal can you make for the next 12 years )? b) Suppose you realize your living expenses will increase at an annual rate of 2% due to inflation. Determine the updated annual spending plan in the line with this model how much can you withdrawal at the end of the first year. knowing that your withdrawal will increase by 2% each year? C) Suppose the initial deposit is still planned to support your equal annual expenses in the next 10 years as in part a but don't need to withdraw any money from your account for the first 6 years. You will withdraw from your account annually starting from the end of year 7 till the end of year 12. What annual level of living…
a. You plan to invest $5,000 in an individual retirement arrangement today at a nominal annual interest rate of 10%, which is expected to apply to all future years. 1. How much you will have in the account at the end of 15 years if interest is compounded (1) annually? (2) Semiannually? (3) Quarterly and (4) daily (assume a 365-day a year)? 2. Compute effective annual rate and explain the relationship exists between compounding frequency and the nominal and effective annual rates ?
Do

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