The balance of an interest-bearing account can be modeled by an exponential equation. For example, consider an initial deposit of $10000 at an annual interest rate of 5%. The interest earned each year is deposited into the account at the end of the year. A. Assuming that no withdrawals or deposits are made, write an equation that models the account balance after x years. Your answer B. What is the account balance at the end of the 7 years? Your answer C. Create a graph that shows the increase in the account balance over the next 15 years, including your initial deposit. Your answer

The balance of an interest-bearing account can be modeled by an exponential equation. For example, consider an initial deposit of $10000 at an annual interest rate of 5%. The interest earned each year is deposited into the account at the end of the year. A. Assuming that no withdrawals or deposits are made, write an equation that models the account balance after x years. Your answer B. What is the account balance at the end of the 7 years? Your answer C. Create a graph that shows the increase in the account balance over the next 15 years, including your initial deposit. Your answer

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 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.
An amount of $124 is paid at the end of every month into an account. If the nominal interest rate is 3.02% compounded semiannually, how long (in years and months) will it take for the payments to accumulate to an amount of $6,455.41? Use the integer value of N to calculate years and months. |CN = |2 P/Y = 12 I/Y = 3.02 FV 6,455.41 PMT = $ -124 = years N= 192 to the nearest integer) PV = $14,892.17 X x (round = month(s)
You put $7,364 in the bank for 13 years at 7%. Using the Future Value of 1 Table, what factor would you use to calculate the future value of your deposit? Round to four decimal places.
Vishnu
A bank features a savings account that has an annual percentage rate of r=3.4% with interest compounded weekly. Alfonso deposits $11,500 into the account. The account balance can be modeled by the exponential formula S(t)=P(1+r/n)^nt, where S is the future value, P is the present value, rr is the annual percentage rate, nn is the number of times each year that the interest is compounded, and tt is the time in years. What values should be used for P, r, and n?P= , r= , n= How much money will Alfonso have in the account in 10 years?Answer = $ .Round answer to the nearest penny. What is the effective annual rate for the savings account?effective rate = %.Round answer to 3 decimal places.
Write TRUE if the statement is true and FALSE if otherwise. 1. Compounding refers to the earning of interest on interest. 2. Discounting refers to the process of bringing the future back to the present. 3. The more frequently interest is compounded, the larger will be the final or terminal amount. 4. It takes longer than 8 years to retire a $24,000 loan at 8% if the annual payment is $3,000. 5. An annuity of $100 for 10 years is currently lessvaluable if interest rates are 10% instead of 12%. 6. If a person buys a stock for $10 and sells it after 10years for $20, the annual compound return is 10%. 7. Higher rates of interest are associated with greater present values. 8. If interest rates are 9 percent, an annuity of $100 for 10 years is to be preferred to $1,000 after 10 years. 9. If a bank pays 5 percent compounded semi-annually, the true rate of interest is less than 5 percent annually.
All of the following are the steps to figure out "The Rule of 72" EXCEPT Find the interest rate. O 72 divided by the interest rate. O Roughly how many years it will take your money to double. O Add 72 to the interest rate.
Suppose that you deposited $5,999 at the end of each year in a Roth IRA account earning an annual rate of 5.01% for the next 15 years. How much would be on deposit at the end of the 15th year? In the space below, please indicate what the following variables are (enter answers to four decimal places and be mindful as to whether the variable is a positive or negative number): 1. PV 2. FV 3. Rate % 4. Periods 5. Payment
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…
3. Answer both A and B questions A. What are the differences between the simple interest and compound interest? (Elaborate, minimum of three sentences). B. An investor deposited OMR 9,000 into an account paying 8% annual interest compounded quarterly. (Use the compounded interest formula). Calculate the following. 1. How much money will be in the account after 5 years? 2. How much money will be in the account after 9 years? 3. How much money will be in the account after 3 years? Answer:
Given below are the future value factors for 1 at 11% for one to five periods. Interest is compounded annually at 11%. Periods Future Value of 1 at 11% 1. 1.110 2. 1.232 1.368 1.518 5 1.685 What amount should be deposited in a bank account today to grow to $27400 three years from today? $27400 x 1.368 x 3 $27400 + 1.368 $27400 + 1.110 x 3 $27400 x 1.368 3. 4.
Suppose you invest $1,250 in an account paying 8% interest per year. a. What is the balance in the account after 3years? How much of this balance corresponds to "interest on interest"? b. What is the balance in the account after 31 years? How much of this balance corresponds to "interest on interest"?

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