►Play around with the INTEREST CALCULATOR I built using Maple Learn for simple interest, compounded interest, and continuously compounded interest here: https://learn.maplesoft.com/index.htm...
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Welcome to the first episode of my financial math playlist! Each video we are going to cover one topic related to money, personal finance, investing, or economics. The goal is to break down the mathematical formulas involved in these topics so we can really understand and be smarter with our money.
In this first episode we are going to be talking about interest rates. We will see the formulas for simple interest, compound interest, and continuously compounded interest. We will, for instance, if you have a loan starting with an initial principle, and a particular interests rate over the term of the loan, how much money is owed at the end? Well, it depends on the type of interest. With simple interest, the same interest payment of a fixed percentage is paid every single period. With compound interest however, the amount of interest in each period goes up as there is interest on the interest. We will see how to break down an annual interest rate that is compounded monthly, for instance. Finally, continuously compounded interest is a limit as you compound more and more and more frequently.
0:00 What is interest?
1:20 Simple Interest
5:19 Compound Interest
9:27 Comparing different compounding periods
13:40 Continuously Compounded Interest
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► CALCULUS II: • Calculus II (Integration Methods, Ser...
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►DIFFERENTIAL EQUATIONS: • Ordinary Differential Equations (ODEs)
►LAPLACE TRANSFORM: • How to solve ODEs with infinite serie...
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