HSC Together Year 12 Maths Advanced: Compound Interest

Maths Advanced

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Compound Interest

This is part of the HSC Mathematics Advanced course under the topic of Financial Mathematics: Modelling investments and loans.

In this post, we will solve compound interest problems involving financial decisions, including but not limited to a home loan, a savings account, a car loan or superannuation:

  • Identify an annuity (present or future value) as an investment account with regular, equal contributions and interest compounding at the end of each period, or a single-sum investment from which regular, equal withdrawals are made
  • Use technology to model an annuity as a recurrence relation and investigate (numerically or graphically) the effect of varying the interest rate or the amount and frequency of each contribution or withdrawal on the duration and/or future or present value of the annuity
  • Use a table of future value interest factors to perform annuity calculations, eg calculating the future value of an annuity, the contribution amount required to achieve a given future value or the single sum that would produce the same future value as a given annuity

 

Compound Interest – Easy Example + Practice

 

Compound Interest Formula Explained, Investment, Monthly & Continuously, Word Problems, Algebra

 

Word Problems with Compound Interest

 

Eddie Woo: Compound Interest (1 of 2: Developing the formula)

 

Compound Interest (2 of 2: Example questions)

 

How to read and use Compound Interest Tables

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