Once per year Ritchie Rich deposits an amount of $800 in an account which pays 10% interest per year, compounded annually,with additional deposits of $800 continually made at the end of the year.If B, is the balance in the account, in dollars, immediately after Ritchie makes the nth deposit,then we can write B₁ = $800.(a) Complete the table to find the following. Report to the nearest $0.01.i) the balance, B, of the account on the day immediately after the second deposit.ii) the balance, B₁, of the account on the day immediately after the third deposit.iii) the balance, B₁, of the account on the day immediately after the fourth deposit71(Number of deposits)12OOB= $321158.22(b) Suppose Ritchie makes 38 deposits.What is the balance of the account on the day immediately after the 38th deposit?0 B$29923.47B$29123.47B= $264031.59B, ($)$800$ NumberO B$291234.75(It is more than $880.)$ NumberS NumberQ(c) Suppose Ritchie makes 438 deposits. Which is true about the sum Ba?i) The balance, Bas, of the account on the day immediately after the 438th deposit isOB=800-104 +800-1047 ++800-10² +800-10 + 800O B₁38 = 800 1.1437 +800-1.1436 ++800-1.1² + 800-1.1 +800O B438=800-1.1438 +800-1.1437 +...+800-1.1² +800-1.1+800OB=800-10437 +800-104 ++800-10² +800-10+800O B43=800-10439 +800-10438 ++800-10² +800-10+800OB=800-1.1439 +800-1.1438 + +800-1-1² +800-1.1+800O None of these.ii) The balance, B438, of the account on the day immediately after the 438th deposit is approximatelyB438 $9810551030419638000000

Future value of the money is the amount of deposit done and the amount of interest accumulated over…

With additional deposits of $800 continually made at the end of the year. If B, is the balance in the account, in dollars, immediately after Ritchie makes the nth deposit, then we can write B₁ = $800. (a) Complete the table to find the following. Report to the nearest $0.01. i) the balance, B₂, of the account on the day immediately after the second deposit. ii) the balance, B₁, of the account on the day immediately after the third deposit. iii) the balance, B₁, of the account on the day immediately after the fourth deposit. 71 (Number of deposits) 1 2 3 B. ($) $800 $ Number (It is more than $880.) $ Number year, compounded annually,

With additional deposits of $800 continually made at the end of the year. If B, is the balance in the account, in dollars, immediately after Ritchie makes the nth deposit, then we can write B₁ = $800. (a) Complete the table to find the following. Report to the nearest $0.01. i) the balance, B₂, of the account on the day immediately after the second deposit. ii) the balance, B₁, of the account on the day immediately after the third deposit. iii) the balance, B₁, of the account on the day immediately after the fourth deposit. 71 (Number of deposits) 1 2 3 B. ($) $800 $ Number (It is more than $880.) $ Number year, compounded annually,

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

See similar textbooks

Similar questions

Suppose that you deposit $7000 in a savings account that pays 4% annual interest, with interest credited to the account at the end of each year. Assuming that no withdrawals are made, complete the following: a. Find the balance in the account after 5 years. b. Find the balance of the account after 9 years and 10 months.
Suppose $1,200 is deposited into an account which has an annual percentage rate of 9.81% per year. Assume it remains in the account for 18 years and no additional money is added to the account other than interest. (a) Complete the boxes below to write an expression for the amount (in dollars) at year x = 18, of assuming interest is compounded annually. Do not round any values. You can enter arithmetic expressions (containing +, -, *, /, or ^) in any of these boxes. Number 1200 •( Number What is the value in year x = 18 of an investment of $1,200 dollars which pays 9.81% compounded annually? $ Number (Round to the nearest 0.01 dollars) (b) Complete the boxes below to write an expression for the amount (in dollars) at year x = 18, assuming interest is compounded weekly (52 times per year). Do not round any values. You can enter arithmetic expressions (containing +, –, *, /, or ^) in any of these boxes. Number 1200 ( Number What is the value in year x = 18 of an investment of $1,200…
You decide to invest $7,500 into an account that pays 1.1% annual compound interest. Write an equation for the balance of the account (B) after t years.
Suppose that $10,000 is deposited into a saving account that earns 6% interest, compounded annually.a) Assuming that no additional deposits or withdrawals are made, use the appropriate compound interestfactors to determine how much the account will be worth:i) After 5 years;ii) After 20 years. b) Verify that your answers in part (a) are correct by constructing a table or spreadsheet that shows howthe initial deposit will grow each year over 20 years. At a minimum, your table or spreadsheet shouldinclude a row for each year and show: the amount of money in the savings account at the start of each year. the amount of interest earned each year; and the amount of money in the savings account at the end of each year, after interest is paid.Be sure to briefly explain how your table or spreadsheet verifies your results from part (a). c) Again assuming that no additional deposits or withdrawals are made, how many years will it take untilthere is at least $50,000 in the account?
Assume you deposit $4,400 at the end of each year into an account paying 10.5 percent interest. a. How much money will you have in the account in 24 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. How much will you have if you make deposits for 48 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Suppose that you will deposit $184 at the end of each month for the next 24 years into an account with an APR of 11% and monthly compounding. How much money will be in the account at the end of the 24 years? Round your final answer to two decimals. Show formula in Excel.
You plan to deposit $700 in a bank account now and $900 at the end of one year. If the account earns 2% interest per year, what will the balance be in the account right after you make the second deposit? There will be $ in the account right after the second deposit. (Type an integer or a decimal.)
You deposited $8,000 six years ago into a bank account. Two years ago, you deposited an additional amount. Assume an annual interest rate of 14%. In ten years from now, you need to have exactly $89,187.52 in the account? Assume annual compounding. What was the amount of that unknown deposit? Use a $ symbol and a comma and zero decimal places. (i.e. $23,000). Hint...your answer should end in 000.
You have a 2-year certificte of deposit in the bank. It is paying 6% annual interest, compounded monthly. At the end of the term, your account value is $880.30. What was the initial balance of the account? Please explain using the equation in the given image, not Excel. Thank you.
Suppose you make quarterly deposits of $1,500.00 into an account that pays an interest at a rate of 6% compounded monthly. Find the balance of the account at the end of year 2.
To find out the balance in your account just after you make your last deposit whereby you will deposit $400 at the end of each 6 months for the next 5 years at a nominal rate of 12% p.a. compounded semi- annually, you can also apply which of the following formula to solve for the accumulated amount manually: Select one: O a. FV= PV(1+i)" FV = PV(1+i)" O b. PVn = PMT[1-(1+ i)*"] /i 1-(1+1) PV = PMT| FVn = PMT[(1+ i)" -1] / i (1+i)"-1 FV = PMT %3D
You initially invest $400 in a savings account that pays a yearly interest rate of 3%. (a) Write a formula for an exponential function giving the balance in your account as a function of the time since your initial investment. (Let B be the account balance in dollars and t be the number of years since the initial investment.) 8(t)= dollars (b) What monthly interest rate best represents this account? Round your answer to three decimal places. % (c) Calculate the decade growth factor. (Round your answer to two decimal places.) (d) Use the formula you found in part (a) to determine how long it will take for the account to reach $536. (Round your answer to the nearest whole number.) yr Explain how this is consistent with your answer to part (c), At the end of one decade, there will be $ where the account reaches $536 at the end of This --Select-- o the answer found above years,

SEE MORE QUESTIONS

Recommended textbooks for you

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

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

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

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

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS