(Complex present value) You would like to have $44,000 in 11 years. To accumulate this amount, you plan to deposit each year an equal sum in the bank, which will earn 9 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 9 percent on this deposit.) c. At the end of 6 years you will receive $11,000 and deposit this in the bank toward your goal of $44,000 at the end of 11 years. In addition to this deposit, how much must you deposit in equal annual deposits to reach your goal? (Again assume you can earn 9 percent on this deposit.)

(Complex present value) You would like to have $44,000 in 11 years. To accumulate this amount, you plan to deposit each year an equal sum in the bank, which will earn 9 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 9 percent on this deposit.) c. At the end of 6 years you will receive $11,000 and deposit this in the bank toward your goal of $44,000 at the end of 11 years. In addition to this deposit, how much must you deposit in equal annual deposits to reach your goal? (Again assume you can earn 9 percent on this deposit.)

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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(Comprehensive problem) You would like to have $54,000 in 16 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 $54,000 at the end of year 16. 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.) a. How much must you deposit annually to accumulate this amount? (Round to the nearest cent.)
(Annuity payments) To buy a new house, you must borrow $150,000. To do this, you take out a $150,000, 35-year, 11 percent mortgage. Your mortgage payments, which are made at the end of each year (one payment each year), include both principal and 11 percent interest on the declining balance. How large will your annual payments be? The amount of your annual payment will be $ **** (Round to the nearest cent.)
1.1) For $20,000, you can purchase a five-year annuity that will pay $5000 per year for five years. The payments occur at the end of each year. a) Calculate the effective annual interest rate implied by this arrangement. 1.2) If you invest $1000 at 11% APR for five years, how much would you have at the end of 5 years? a) Calculate using simple interest. b) Calculate using compound interest.
Suppose you want to save $220,000 for retirement. You will do so by putting monthly deposits into an account that gets 5% interest compounded monthly for 30 years. What should your monthly deposits be? Round your answer to the nearest cent and include units. Make sure you show the formula you used and the values you filled in.
you need $8,000 four years from now for a down payment on your future house. How much money must you deposit today if your credit union pays 5% interest compounded annually? Pick the closest answer.
How much do you have to deposit today so that beginning 11 years from now you can withdraw $12,000 a year for the next 6 years (periods 11 through 16) plus an additional amount of $24,000 in the last year (period 16)? Assume an interest rate of 9 percent.
Suppose you receive $190 at the end of each year for the next three years. a. If the interest rate is 7%, what is the present value of these cash flows? b. What is the future value in three years of the present value you computed in (a)? c. Suppose you deposit the cash flows in a bank account that pays 7% interest per year. What is the balance in the account at the end of each of the next three years (after your deposit is made)? How does the final bank balance compare with your answer in (b)?
You plan to buy property in Florida 8 years from today. To do this, you estimate that you will need $ 45000 at that time for the purchase. You would like to accumulate these funds by making equal annual deposits into your savings account, which pays 9% annually. If you make your first deposit at the end ofthis year, and you would like your accountto reach$ 45000 when the final deposit is made, what amount do you need to deposit annually?
Suppose you want to buy a vacant lot for your future home for $29,673. If your bank is willing to loan you the money at a 6% APR over the next 14 years how much would be your monthly payment? (Round up your answer to two decimal point)
C) What is the present value of $7,500 per year, at a discount rate of 8.5 percent, if the first payment is received 10 years from now and the last payment is received 25 years from now?You have signed up for your 401k and will deposit $750 into your 401k when you are paid at the end of each month. If you earn a compound annual rate of return of 6%, how much will you have in 15 years?What would your monthly car payment be if you financed a $35,000 car for 3 years at a rate of 6%?The appropriate discount rate for the following cash flows is 12 percent compounded quarterly. What is the present value of the cash flows? Year 1 CF=700, Year 2 CF=600, Year 3 CF=0, Year 4 CF=1000
Suppose an investment will pay $21,000 in 29 years from now. If you can earn 11.35% interest compounded monthly by depositing your money in a bank, how much should you pay for the investment today?
How much do you have to deposit today so that beginning 14 years from now you can withdraw 15,000 a year for the next 4 years (periods 14 through 17) plus an additional amount of 30,000 in that last year (period 17)? Assume an interest rate of 11 percent.

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