Question

In: Finance

Future Value

Mr. B will receive $100,000 at the end of the 5th year. If opportunity cost is 9%. What will be the present value of the amount today?

Solutions

Expert Solution

Here,

Future Value = $100,000

Number of year = 5

Opportunity cost = 9%

The terms used in formulas

FV - Future Value

PV - Present Value

r - opportunity Cost

n - number of years

\( \begin{align}PV &= FV(1+r)^{-n}\\ &= \$100,000(1+0.09)^{-5}\\ &= \$64,993.14 \end{align} \)

Hence, the present value of the investment is $64,993.14


The present value is $64,993.14

Related Solutions

Present Value & Future Value calculation
Calculate the required values and select the correct option.
Why is the future value of annuity due always greater than the future value of an...
Why is the future value of annuity due always greater than the future value of an ordinary annuity assuming everything equals 2? Why the present value of an annuity due is always greater that than the future value of an ordinary annuity assuming everything else equals?
Determine the future value and the present value of the following single amounts: Future and Present...
Determine the future value and the present value of the following single amounts: Future and Present Values item Invested Amount Interest Rate Percentage No. of Periods 1 15,000.00 6 12 2 20,000.00 8 10 3 30,000.00 12 20 4 50,000.00 4 12
Future Value of an Annuity Find the future value of the following annuities. The first payment...
Future Value of an Annuity Find the future value of the following annuities. The first payment in these annuities is made at the end of Year 1, so they are ordinary annuities. (Notes: If you are using a financial calculator, you can enter the known values and then press the appropriate key to find the unknown variable. Then, without clearing the TVM register, you can "override" the variable that changes by simply entering a new value for it and then...
1. Future Value. what is the future value in six years of $1000 invested in an...
1. Future Value. what is the future value in six years of $1000 invested in an account with a stated annual interest rate of 9 percent a. compounded annually? b. compounded semi annually? c. compounded monthly? d. compounded continuously? e. why does the future value increase as the compounding period shortens? Q2. present value and break even interest. consider a firm with a contract to sell an asset for $115,000 three years from now. The asset cost $76,000 to produce...
Future Value Compute the future value in year 9 of a $440 deposit in year 4...
Future Value Compute the future value in year 9 of a $440 deposit in year 4 and another $240 deposit at the end of year 5 using a 9% interest rate. Multiple Choice $1,015.77 $1,476.89 $964.40 $1,144.40
Future Value and Compounding What do we mean by the future value of an investment? What...
Future Value and Compounding What do we mean by the future value of an investment? What does it mean to compound interest? How does compound interest differ from simple interest?
Problem 4-12 Future Value of an Annuity Find the future value of the following annuities. The...
Problem 4-12 Future Value of an Annuity Find the future value of the following annuities. The first payment in these annuities is made at the end of Year 1, so they are ordinary annuities. Round your answers to the nearest cent. (Notes: If you are using a financial calculator, you can enter the known values and then press the appropriate key to find the unknown variable. Then, without clearing the TVM register, you can "override" the variable that changes by...
Problem 4-21 Future Value a. What is the future value in seven years of $1,500 invested...
Problem 4-21 Future Value a. What is the future value in seven years of $1,500 invested in an account with an APR of 8 percent, compounded annually? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. What is the future value in seven years of $1,500 invested in an account with an APR of 8 percent, compounded semiannually? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)...
Prompt: Present value and Future value – In finance we often calculate present and future values....
Prompt: Present value and Future value – In finance we often calculate present and future values. Discuss their uses and the relationship between present and future value. Requirements: 250 words
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT