Uploaded by kimberly ann Omandam

compounding more than once a year

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Annual Simple Interest
𝐼𝑠 = π‘ƒπ‘Ÿπ‘‘
where
𝐼𝑠 = simple interest
P = principal
r = rate
t = term or time, in years
Maturity (Future) Value
𝐹 = 𝑃 + 𝐼𝑠
where
𝐹 = maturity (future) value
P = principal
𝐼𝑠 = simple interest
Maturity (Future) Value
𝐹 = 𝑃(1 + π‘Ÿπ‘‘)
where
𝐹 = maturity (future) value
P = principal
π‘Ÿ = interest
t = term/ time in years
Maturity (Future) Value and Compound Interest
𝑑
𝐹 = 𝑃(1 + π‘Ÿ)
where
𝐹 = maturity (future) value at the end of the term
P = principal or present value
π‘Ÿ = interest rate
t = term/ time in years
The compound interest Ic is given by,
𝐼𝑐 = 𝐹 − 𝑃
Compare the compound amounts when compounding
semi-annually and compounding annually.
NOTE:
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