Preview

Investment and Interest Calculation

Satisfactory Essays
Open Document
Open Document
257 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
Investment and Interest Calculation
Initial Investment

The desired item is jewelry
The cost in 12 years will be about $6000.
The average interest rate is 5%.
The Present value formula is P =A (1+r)-n where P is the present value that will amount to A dollars in n years at interest rate r compounded annually.
Note that the quantity raised to a power has the negative exponent on –n. According to the rules of exponents, this means that once the negative is put into effect, the base quantity will change position by dropping down into the denominator where it will be raised to the power on n. Then it will divide A instead of multiplying A as it seems to be doing now.
P=A(1+r)-n
P= 6000(1+.05)-12 The relevant numbers are plugged into the formula
P = 6000(1.05)-12 Added inside the parenthesis
P = 6000 The negative exponent creates the reciprocal of the base number. (1.05)12 (in other words, changes its position from up top to down below)
P = 6000 The exponent is applied to the base number 1.7958
P = 3341.02 This is value of P using the formula

Given the results and the fluctuating interest rate at 5%, I will invest $3000 right now. This should give me a little cushion. The formula shows your investment changing over time depending on the interest rate. If I draw a graph it will increase over time. If the interest rate changes over time it will affect the

You May Also Find These Documents Helpful

  • Good Essays

    Hrm/531 Week 6 Assignment

    • 785 Words
    • 4 Pages

    Present value of Annuity = C * [ ( 1- ( 1/ (1+r) n ) / r ]…

    • 785 Words
    • 4 Pages
    Good Essays
  • Satisfactory Essays

    Mat 221 Week 4 Dis. 1

    • 293 Words
    • 2 Pages

    The Present Value Formula is P = A(1+r)-n where P is the present value that will amount to A dollars in n years at interest rate r compounded annually.…

    • 293 Words
    • 2 Pages
    Satisfactory Essays
  • Good Essays

    Nt1310 Unit 2

    • 497 Words
    • 2 Pages

    Write an equation that models the amount A the investment is worth t-years after the principal has been invested.…

    • 497 Words
    • 2 Pages
    Good Essays
  • Good Essays

    Homework1 Parsons

    • 3490 Words
    • 14 Pages

    year after, the year after, etc.,). If the interest rate is 8% per year, what is the present value of…

    • 3490 Words
    • 14 Pages
    Good Essays
  • Good Essays

    fra mid term

    • 2907 Words
    • 43 Pages

    The present value factor of an annuity of $1 per period for 5 periods at 10% is 3.7908…

    • 2907 Words
    • 43 Pages
    Good Essays
  • Powerful Essays

    The going interest rate per year = 10%, the number of years, N = 20, future value, FV = 1,000, and present value, PV = 865.…

    • 1735 Words
    • 7 Pages
    Powerful Essays
  • Satisfactory Essays

    Name________________________________ UDC – Quantitative Reasoning I EXAMINATION 3 – Personal Finance – Exponential Functions Fall - 2012 Instructions: This exam is worth 100 points. Read each question carefully. Answer each question clearly and concisely. Please, show All of Your Work. Remember, I do not believe in magic!!!…

    • 588 Words
    • 3 Pages
    Satisfactory Essays
  • Good Essays

    Finance 571

    • 754 Words
    • 4 Pages

    Present values is defined as the value on a given date of a future payment or serious of payments discounted to reflect the time value of money and other related factors such as investment risk. Present value depends on both the expected cash follows and the cost of capital. The increase and decrease of present value depends on both elements. For instance, if the cost of capital increases, the present value will decrease even though the expected cash flow does not change. In the similar manner, present value will increase when expected cash flow increases even when the cost of capital has not changed. There are also situations when present value remains constant when there are changes in the expected cash flows and cost of capital (required return). Therefore, when the changes exactly offset, it…

    • 754 Words
    • 4 Pages
    Good Essays
  • Good Essays

    fin 600

    • 2175 Words
    • 32 Pages

    Prior Year Balance x .06 Future Values Example - Compound Interest Interest earned at a rate of 6% for five years on the previous year’s balance. Today Interest Earned Value 100 1 Future Years 2 3 4 5 6 6.36 6.74 7.15 7.57 106 112.36 119.10 126.25 133.82 Value at the end of Year 5 = $133.82 Future Value  The general formula for the future value of an investment over many periods can be written as: FV = C0×(1 + r)T Where C0 is cash…

    • 2175 Words
    • 32 Pages
    Good Essays
  • Satisfactory Essays

    Week 8 FIN111

    • 422 Words
    • 2 Pages

    The present value can be thought of as the discounted value of a future amount.…

    • 422 Words
    • 2 Pages
    Satisfactory Essays
  • Satisfactory Essays

    The future value is the amount of money earned after a certain time of interest rate.…

    • 509 Words
    • 3 Pages
    Satisfactory Essays
  • Better Essays

    Exponents and Logarithms

    • 2089 Words
    • 9 Pages

    An exponent is the number representing the power a given number is raised to. Exponential functions are used to either express growth or decay. When a function is raised to a positive exponent, it will cause growth. However, when a function is raised to a negative exponent, it will cause decay. Logarithms work differently than exponents. Logarithms represent what power a base should be raised to in order to produce a specific given number. Logarithmic and exponential functions are often used together because they are inverse functions, and therefore “undo” one another. The natural exponential function and the natural logarithm are frequent examples. These functions have a base of the constant e, or Euler’s number. The natural exponential function is written as f(x)=ex. Its inverse, the natural logarithmic function, is written as f(x)=ln(x).…

    • 2089 Words
    • 9 Pages
    Better Essays
  • Satisfactory Essays

    Present Value of an Ordinary Annuity= Payment [(1 - (1 / (1 + Discount Rate per period)number of periods)) / Discount Rate Per Period]…

    • 475 Words
    • 2 Pages
    Satisfactory Essays
  • Good Essays

    Investment and Rate

    • 1787 Words
    • 8 Pages

    Yes. The society as a whole is worse off. This is because cash is the financial asset and it becomes is a liability of the government upon the time you found the cash. So, the taxpayers will have to make up for the government liability.…

    • 1787 Words
    • 8 Pages
    Good Essays
  • Satisfactory Essays

    A quick method of calculating the interest charge on a loan. Simple interest is determined by multiplying the interest rate by the principal by the number of periods.…

    • 404 Words
    • 2 Pages
    Satisfactory Essays

Related Topics