You would like to have $59,000 in 5 years for the down payment on anew house following graduation by making deposits at the end of every threemonths in an annuity that pays 4.25% compounded quarterly. (a) How muchshould you deposit at the end of every three months? (b) How much of the$59,000 comes from deposits? (c) How much of the $59,000 comes frominterest? (Round UP to the nearest dollar. For example, $247)()af

Future Value= $59,000; No. of periods= 5*4= 20 years, Interest rate per period = 4.24/4=…

Answered: You would like to have $59,000 in 5…

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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Similar questions

A personal account earmarked as a retirement supplement contains $292,200. Suppose $250,000 is used to establish an annuity that earns 5%, compounded quarterly, and pays $4500 at the end of each quarter. How long will it be until the account balance is $0? (Round your answer UP to the nearest quarter.) quarters
Suppose you borrowed $400 from a friend and promised to repay the loan by making three annual payments at the end of each of the next three years plus a final payment of $200 at the end of year 4. The interest rate is 9%. What is the annuity amount?
(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.)
A person borrows an amount for a new house and s/he is going to make monthly payments of 8,000 $ for the next 10 years. The nominal annual interest rate is quoted as 12%. (Assume the first instalment is going to be paid 1 month after s/he borrows.) a. Find the amount borrowed by this person. b. How much does this credit worth at the end of the last payment date? c.lf this person decides on closing his/her loan after paying the 34th instalment, how much should s/he pay? It is given that the closing fee of this credit is 1,453 $.
(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.)
A person wants to withdraw $1000 every month, for 21 years, to supplement their pension check when they retire. a. How much money must be in an account that pays 7% interest compounded monthly, in order to meet their needs? b. How much money must be deposited into an account that pays 6.6% interest compounded monthly in order to achieve this amount? The monthly deposits will be made for 45 years C. How much money was actually deposited in to the account? d. How much money will actually be paid out from this account?
You deposit $1,000 into an account every six months to help with your down payment savings for a home. How much will you have at the end of seven years if the account has a monthly compound annual percentage rate of 14%? (Tip: first figure out the effective semiannual interest rate.)
You invest $1,000 in a certificate of deposit that matures after ten years and pays 5 percent interest, which is compounded annually until the certificate matures. How much interest will you earn if the interest is left to accumulate? How much interest will you earn if the interest is withdrawn each year? Why are the answers to a and b different?
You would like to have $37,000 in 5 years for the down payment on a new house following college graduation by making deposits at the end of every three months in an annuity that pays 4.25% compounded quarterly. How much should you deposit at the end of every three months? How much of the $37,000 comes from deposits and how much comes from interest?
How much would you still owe at the end of the first year, after you have made the first payment?
Suppose that you take out an unsubsidized Stafford loan on September 1 before your junior year for $45004500 and plan to begin paying it back on December 1 after graduation and grace period 27 months later. The interest rate is 6.8%. How much of what you will owe will be interest?$Round your answer to the nearest cent.
An insurance settlement of $3 million must replace Trixie Eden's income for the next 30 years. What income will this settlement provide at the end of each month if it is invested in an annuity that earns 8.1%, compounded monthly? (a) Decide whether the problem relates to an ordinary annuity or an annuity due. ordinary annuityannuity due (b) Solve the problem. (Round your answer to the nearest cent.) $

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