Finance Fundamentals

Ep. 16- The Time Value of Money


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A dollar today is not the same as a dollar tomorrow. Even without external factors such as inflation, our money is worth more to us upfront, assuming we use it to invest wisely and enjoy watching the interest grow. Time Value of Money is an important financial concept. The concept is drawn from the idea that investors prefer money today rather than some in the future because of the potential of growth over time.

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The show is written and edited by me, produced and edited by Daniel Ryoo. We work hard to ensure these episodes sound great for you. New episodes launch every week. Check back for Episode 17 on Thursday 5/20/21 to listen to my next interview. Check back for Episode 18 next Tuesday 5/25/21 to learn about credit cards. There is a lot to learn, but we work hard to discuss complex financial topics in an easily understood manner. Finance doesn't need to be pretentious, and you don't need to be an expert. Every little bit you can learn helps you save money and better understand where your money is going.

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See a time value of money calculator from MSN: https://www.msn.com/en-us/money/tools/timevalueofmoney

See show calculations below: 

FV = PV x [ 1 + (i / n) ] (n x t) 

  • FV = Future value of money
  • PV = Present value of money
  • i = interest rate
  • n = number of compounding periods per year
  • t = number of years
  • Assume you invest $10,000 for one year at 10% interest. The future value of that money is: 

    FV = $10,000 x [1 + (10% / 1)] ^ (1 x 1) = $11,000

    Let's rearrange the formula to find the value of that future sum in dollars today. 

    $5,000 one year from today, at 7% compounded interest is: 

    PV = $5,000 / [1 + (7% / 1)] ^ (1 x 1) = $4,673

    Now check out the effects of compounding: 

    • Quarterly Compounding: FV = $10,000 x [1 + (10% / 4)] ^ (4 x 1) = $11,038
    • Monthly Compounding: FV = $10,000 x [1 + (10% / 12)] ^ (12 x 1) = $11,047
    • Daily Compounding: FV = $10,000 x [1 + (10% / 365)] ^ (365 x 1) = $11,052
    • PV= FV/(1+r) where r is the interest rate.

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      Finance FundamentalsBy Dustin Dubay

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