suppose that you would like to save $20,000 over 5 years to use as a down payment for a house by making regular end-of-the-month deposits in an account that earns 4% compounded monthly. How much should you deposit into the account each month?

suppose that you would like to save $20,000 over 5 years to use as a down payment for a house by making regular end-of-the-month deposits in an account that earns 4% compounded monthly. How much should you deposit into the account each month?

EBK CFIN

6th Edition

ISBN:9781337671743

Author:BESLEY

Publisher:BESLEY

Chapter4: Time Value Of Money

Section: Chapter Questions

Problem 11PROB

See similar textbooks

Related questions

Q: How much would you need to deposit in an account each month in order to have $20,000 in the account…

A: The amount you need to deposit in an account each month in order to have $20,000 in the account in 7…

Q: If you deposit $250 each month into an individual retirment account that earns 4.8% interest…

Q: Suppose you want to have $500,000 for retirement in 25 years. Your account earns 6% interest. How…

A: The future value of an annuity is the future worth of a series of cash flows at a certain rate of…

Q: You plan to put some money into an account so that for the next 4 years you can withdraw $912 from…

A: Present Value can be calculated using PV function in excel PV (rate, nper, pmt, [Fv], [type])…

Q: You want to be able to withdraw $3,500 each month for 20 years. Your account earns 10% interest. How…

A: Present value of annuity is the value of recurring regular interval future cashflow discounted to…

Q: How much would you need to deposit in an account now in order to have $3000 in the account in 15…

A: Using excel PV function

Q: How much would you need to deposit in an account each month in order to have $10,000 in the account…

A: The future value of the annuity is the total value of all the payments which is occurred regularly…

Q: If you deposit $9,000 in a bank account that pays 10% interest annually, how much will be in your…

A: Calculate the future value as follows: Future value = Amount * (1+ rate)^ years

Q: enny puts $200 into a savings account today, the account pays an annual interest rate of 5%, but…

A: PV = 200, N = 1, rate = 5%/2, PMT = 0 use FV function in Excel balance in the account after 6 months…

Q: You decide to make regular deposits every 2 weeks into an account that earns 5% annual interest,…

A: The future value of the deposits is $29,000. The annual interest rate is 5%. The maturity period is…

Q: You deposit $200 each month into an account earning 3% interest compounded monthly. a. How much will…

A: Time value tells that money received today by an individual has more value than that of receiving…

Q: You deposit $23,000.00 in an account that pays 4% compounded annually and immediately start making…

A: In this question future value would also be find out so that payment per year can be find out.

Q: You deposit $24,000.00 in an account that pays 6% compounded quarterly and immediately start making…

A: In this problem you have to find out present value FACTOR and find out quarterly deposits.

Q: How much would you need to deposit in an account right now in order to have $2,000 in the account in…

A: Amount = $2,000 = A Time period = 10 years = T Interest rate = 2% = R Compounded monthly where it…

Q: You would Ilike to have $59,000 in 5 years for the down payment on a new house following graduation…

A: Note: No intermediate rounding is done, only the answer is rounded off to nearest whole number.a)…

Q: You would like to have $15,000 in 4 years for a down payment on a home. How much would you need to…

A: Future value or amount required for down payment = FV = $15,000 Semiannual period of annuity = t = 8…

Q: Suppose you want to have $800,000 for retirement in 30 years. Your account earns 9% interest…

A: The amount that need to be deposited can be calculated using the formula of future value of annuity.…

Q: Suppose you want to have $400,000 for retirement in 30 years. Your account earns 5% interest. How…

A: Computation as follows: Hence, each month deposit will be $480.62.

Q: How much would you need to deposit in an account each month in order to have $10,000 in the account…

A: formula to be used = Future value=PMT(1+r/n)n*t-1)/r/n PMT= Monthly payment R= interest rate N=…

Q: You deposit $200 each month into an account earning 3% interest compounded monthly. a) How much…

A: Monthly Deposit = 200 Monthly Compounding Time Period (n) = 240 months Interest Rate (r) = 3%/12 =…

Q: You make a one-time $3,088 deposit into an account which pays 2.8% compounded weekly. If you don't…

A: using excel fv function

Q: How much would you need to deposit in an account now in order to have $6,000 in the account in 8…

A: In order to solve this question one has to solve for the present value to know how much to save into…

Q: You deposit $500 each month into an account earning 5% interest compounded monthly. a) How much…

A: The future value is the value of amount in future that has to paid or received at current or in…

Q: You have $4,500 on a credit card that charges a 21% interest rate. If you want to pay off the credit…

A: Using excel PMT function

Q: You would like to save $250,000 for retirement. If you are planning to retire 30 years from now, how…

A: Future value of the retirement account should be (FV) = $250000 Number of periods of month payments…

Q: If you borrow $24398 with an annual rate of 9% compounded monthly and make a payment of $282 every…

A: Here we will use the concept of time value of money. As per the concept of time value of money the…

Q: You put $1,000 into a savings account today that offers a 5% APR with semi-annual compounding (i.e.,…

A: Compound the money invested provides the future value of an investment.

Q: You decide to save $7700 by making monthly deposits for 9 years into an account which pays 7%…

A: The present value of the annuity is the current worth of a cash flow series at a certain rate of…

Q: Suppose you have decided to put $200 at the end of every month in a savings account that credits…

A: Future value of annuities includes the amount being deposited and amount of compounding interest…

Q: You want to save the down payment required to purchase a vacation home at the end of four years. If…

A: FUTURE VALUE OF ANNUITY (FVA) FORMULA: FVA=A×1+rn-1r where, r=rate of interest n = number of years…

Q: A. Zoey deposits $500.00 every quarter into an account earning 5% interest compounded quarterly. How…

A: The time value of money is the concept widely used to determine the correct worth of the sum to be…

Q: You put $1,000 into a savings account today that offers a 55% APR with semi-annual compounding…

A: GIVEN, PV = $1000 N = 2 M = 2 (SEMI ANNUAL) R=55%

Q: You will need $46000 for a down payment on a house in 9 years. How much should you deposit in a…

A: Present value refers to the current worth of the amount that is expected to be received in future…

Q: Suppose you put $250 at the beginning of every month in a savings account that credits interest at…

A: Monthly deposit is $250. Annual rate of interest is 6%. Time period is 25 years. Compounding…

Q: Suppose an individual makes an initial investment of $2,000 in an account that earns 6%, compounded…

A: As posted multiple sub parts we are answering only first three sub parts kindly repost the…

Q: You have $4,000 on a credit card that charges a 18% interest rate. If you want to pay off the credit…

A: The question gives the following information:

Q: You deposit $500 each month into an account earning 3% interest compounded monthly. Round to the…

A: We need to use future value of annuity formula to calculate money in account after 25 years Future…

Q: You deposit $400 each month into an account earning 3% interest compounded monthly. Round to the…

A: Monthly deposit (m) = $400 Monthly interest rate (r) = 0.0025 (i.e. 0.03 / 12) Monthly period (p) =…

Q: Suppose that each week, you deposit $43 into a savings account whose annual rate is 1.8% with weekly…

A: We need to use future value of annuity formula to calculate balance of account after 14 years. FV…

Q: You deposit $600 each month into an account earning 4% interest compounded monthly. a) How much…

A: The future value of the account can be calculated with the help of future value of annuity function.…

Q: You decide to save $9300 by making annual deposits for 5 years into an account that pays 7%…

A: Given: Amount to be saved 9300 Number of annual deposits 5 Time of withdrawal in years 7…

Q: You want to save 10,000 for a down payment on a home by making regular monthly deposits over 4…

A: Given: Particulars Amount Down payment(FV) $10,000 Years 4 Interest rate 7.50%

Q: You want to be able to withdraw $30,000 each year for 25 years. Your account earns 8% interest…

A: Given: Yearly withdrawal (d) =$30,000 Rate of interest (r)= 8% = 0.08 Compounding frequency (k) = 1…

Q: If you desire to have $10,000 for a down payment for a house in five years, what amount would you…

A: Calculation of Amount to Deposit Today:The amount to deposit today is $7,835.26.Excel Spreadsheet:

Q: Suppose you deposit $3600 to open an account that earns 6% interest compounded monthly. You are…

A: Present value is the sum of money that must be invested in order to achieve a specific future goal.…

Q: Suppose that you would like to have $25,000 to use as a down payment for a home in five years by…

A: An Annuity is a continuous flow of systematic timely cash flows made or received for a stipulated…

Q: If you save $25 per week by bringing your lunch to school for 4 years, 12 months per year, and you…

A: There are two types of annuity that we could calculate: Ordinary annuity and Annuity due. The…

Q: Suppose you want to have $700,000 for retirement in 20 years. Your account earns 10% interest. How…

A: Future value (FV) = $ 700,000 Period = 20 Years Number of monthly payments (n) = 20*12 = 240…

Question

Expert Solution

Step 1

Computation of monthly deposit:

Hence, the monthly deposit into the account is $301.66 per month.

K19
A
1 Particulars
-20,000
2 FV
3 PV
4 NPER
60
0.33%
$301.66
6 PMT

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.

Similar questions

Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $4,200 over the next 6 years when the interest rate is 8%, how much do you need to deposit in the account? B. If you place $8,700 in a savings account, how much will you have at the end of 12 years with an interest rate of 8%? C. You invest $2,000 per year, at the end of the year, for 20 years at 10% interest. How much will you have at the end of 20 years? D. You win the lottery and can either receive $500,000 as a lump sum or $60,000 per year for 20 years. Assuming you can earn 3% interest, which do you recommend and why?
Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $2,500 over the next 4 years when the interest rate is 15%, how much do you need to deposit in the account? B. If you place $6,200 in a savings account, how much will you have at the end of 7 years with a 12% interest rate? C. You invest $8,000 per year for 10 years at 12% interest, how much will you have at the end of 10 years? D. You win the lottery and can either receive $750,000 as a lump sum or $50,000 per year for 20 years. Assuming you can earn 8% interest, which do you recommend and why?
You put $600 in the bank for 3 years at 15%. A. If Interest Is added at the end of the year, how much will you have in the bank after one year? Calculate the amount you will have in the bank at the end of year two and continue to calculate all the way to the end of the third year. B. Use the future value of $1 table In Appendix B and verify that your answer is correct.
Calculating interest earned and future value of savings account. If you put 6,000 in a savings account that pays interest at the rate of 3 percent, compounded annually, how much will you have in five years? (Hint: Use the future value formula.) How much interest will you earn during the five years? If you put 6,000 each year into a savings account that pays interest at the rate of 4 percent a year, how much would you have after five years?
You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years. Which table will help you determine the value of your account at the end of 12 years? A. future value of one dollar ($1) B. present value of one dollar ($1) C. future value of an ordinary annuity D. present value of an ordinary annuity
You put $250 in the bank for S years at 12%. A. If interest is added at the end of the year, how much will you have in the bank after one year? Calculate the amount you will have in the bank at the end of year two and continue to calculate all the way to the end of the fifth year. B. Use the future value of $1 table in Appendix B and verity that your answer is correct.
Samuel Ames owes 20,000 to a friend. He wants to know how much he would have to pay if he paid the debt in 3 annual installments at the end of each year, which would include interest at 14%. Draw a time line for the problem. Indicate what table to use. Look up the table value and place it in a brief formula. Solve.
Refer to the present value table information on the previous page. What amount should Brett have in his bank account today, before withdrawal, if he needs 2,000 each year for 4 years, with the first withdrawal to be made today and each subsequent withdrawal at 1-year intervals? (Brett is to have exactly a zero balance in his bank account after the fourth withdrawal.) a. 2,000 + (2,000 0.926) + (2,000 0. 857) + (2,000 0.794) b. 2,0000.7354 c. (2,000 0.926) + (2,000 0.857) + (2,000 0.794) + (2,000 0.735) d. 2,0000.9264