# Maths

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6%pa compounded semi-annually
Principal-\$6000
I need to find out how many interest periods for the amount to grow to \$9500.
What is the formula too pleae.

• Maths -

Each interest period increases the principal by 3%. After N six-month interest periods,

Principal = 9500 = 6000*(1.03)^N
9500/6000 = 1.58333 = 1.03^N
N = Log1.58333/Log1.03= 15.55

If compounding only occurs once every six months, you will need to 16 interest periods to raise the principal above \$9500

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