Modelling Compound Interest Investments With Additions to the Principal (VCE SSCE General Mathematics): Quizzes

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Modelling Compound Interest Investments With Additions to the Principal
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What is an annuity investment?

Compound interest with regular additions

What two types of growth combine in an annuity investment?

Geometric and linear growth

How many compounding periods per year for monthly compounding?

p=12p = 12

What is RR if the interest rate is 4% per annum compounding annually?

R=1.04R = 1.04

For V0=3,Vn+1=4Vn1V_0 = 3, V_{n+1} = 4V_n - 1, what is V1V_1?

V1=11V_1 = 11

In Vn+1=RVn+DV_{n+1} = RV_n + D, what does DD represent?

Additional payment made each period

Model: 2000 USD principal, 6% annual quarterly, 100 USD quarterly additions. Find RR.

R=1.015R = 1.015

For V0=400,Vn+1=1.005Vn+30V_0 = 400, V_{n+1} = 1.005V_n + 30, what is V1V_1?

V1=432V_1 = 432 USD

If R=1.012R = 1.012 and interest compounds quarterly, what is the annual rate rr?

r=4.8%r = 4.8\%

Why are early additional payments particularly beneficial?

Compound interest earned for longer

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