The time value of money

Financial Modeling in Excel

Nick Edwards

Analyst at Mynd

What is the time value of money?

Time value of money is the concept that money is worth more now than in the future due to its earnings potential.

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Financial Modeling in Excel

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Financial Modeling in Excel

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timeline with fv on top

Financial Modeling in Excel

Like a timeline...

timeline with fv on top and pv on bottom

Financial Modeling in Excel

Future value

Future value is what your investment will be worth in the future, based on a rate of return and length of time.

timeline with fv on top

Financial Modeling in Excel

Future value

Future value is what your investment will be worth in the future, based on a rate of return and length of time.

example of future value calculation on timeline

Financial Modeling in Excel

Future value

Future value is what your investment will be worth in the future, based on a rate of return and length of time.

example of future value calculation on timeline

Financial Modeling in Excel

Future value

Future value is what your investment will be worth in the future, based on a rate of return and length of time.

example of future value calculation on timeline

Financial Modeling in Excel

Future value

Future value is what your investment will be worth in the future, based on a rate of return and length of time.

example of future value calculation on timeline

Financial Modeling in Excel

The power of compounding

Compounding is the process where an investment's earnings are reinvested to generate more earnings.

example of future value calculation on timeline

Financial Modeling in Excel

The power of compounding

Compounding is the process where an investment's earnings are reinvested to generate more earnings.

a graph that shows the difference between $1000 compounded annually versus not compounding over 50 years

Financial Modeling in Excel

"Compound interest is the eighth wonder of the world. He who understands it, earns it. He who doesn't pays it." - Albert Einstein

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Financial Modeling in Excel

Future value formula

the future value formula

Example: Find the value of $1,000 3 years from now at a 5% interest rate.

FV = PV(1+i)^n

FV = $1,000(1+0.05)^3

FV = $1,000(1.157625)

FV = $1,157.63

Financial Modeling in Excel

Present value

Present value is the current value of money that will be received in the future.

example of present value calculation on timeline

Financial Modeling in Excel

Present value

Present value is the current value of money that will be received in the future.

example of present value calculation on timeline

Financial Modeling in Excel

Present value

Present value is the current value of money that will be received in the future.

example of present value calculation on timeline

Financial Modeling in Excel

Present value

Present value is the current value of money that will be received in the future.

example of present value calculation on timeline

Financial Modeling in Excel

Present value

Present value is the current value of money that will be received in the future.

example of present value calculation on timeline

Financial Modeling in Excel

Present value formula

present value formula

Example: Find the present value of receiving $1,157.6 3 years from now at a 5% discount rate.

PV = FV/(1+i)^n

PV = $1,157.63/(1+0.05)^3

PV = $1,157.63/(1.157625)

PV = $1,000

Financial Modeling in Excel

Return on investment (ROI)

Return on investment (ROI) is a ratio of the profit earned for each dollar invested.

return on investment formula

Example: What is the ROI of an investment of $15,000 that earned $5,000?

ROI = $5,000/ $15,000

ROI = 33%

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Financial Modeling in Excel

Benchmarks

target with arrows

Benchmarks are a point of reference to compare an investment's performance.

  • Gives context on investment performance
  • Used in time value of money calculations
Financial Modeling in Excel

Let's practice!

Financial Modeling in Excel

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