Investments & Savings (Leaving Cert Mathematics): Flashcards

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Investments & Savings
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In savings accounts, why does each deposit earn different interest?

Each deposit stays in account for different time period

Convert annual to monthly interest rate

(1+imonthly)=(1+iannual)1/12(1+i_{\text{monthly}})=(1+i_{\text{annual}})^{1/12}

First deposit in savings plan earns interest for?

The entire period (all months)

Last deposit period in savings plan

1 month (or 1 period)

Type of series in savings formula

Geometric series

Geometric series sum formula

Sn=a(1−rn)1−rS_n=\frac{a(1-r^n)}{1-r}

nn in savings geometric series

Number of terms (deposits)

Why not round monthly rate early?

To maintain precision in calculation

Total: €100/month, 5 yrs, 5.5% annual

€6895.20

Monthly deposit: €5500 in 4 yrs at 4.25%

€109.67

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