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Finance: Compound interest

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Now Playing:Finance compound interest – Example 1a
Examples
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  1. Bianca deposits $1,000 in a savings account with an annual interest rate of
    12%. How much money will she have in 20 years, if the interest is compounded:
    1. daily

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    2. monthly

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    3. quarterly

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    4. semi-annually

    5. annually

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Exponents: Product rule (a^x)(a^y) = a^(x+y)
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Notes
Now that we understand the concepts behind exponential growth and decay, let's utilize them and solve real-life problems! One of the many areas where exponential growth comes in handy is Finance. In this section, we will learn how compound interest helps us grow our deposits in our investment and/or bank accounts.
exponential growth/decay: Af=Ai(1+rn)nt { A_f = A_i (1+\frac{r}{n})^{nt}}

Af {A_f} : final amount
Ai {A_i} : initial amount
r {r} : Annual interest rate
t {t} : total time given in years
n {n} : number of times compounded in a year, if

Compound daily:

n = 365

Compound monthly:

n = 12

Compound quarterly:

n = 4

Compound semi-annually:

n = 2

Compound annually:

n = 1