#FinancialMathematics #Year12 #Standard >[!info]- [Annuities | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-standard-11-12-2024/content/n12-tba2/faa14f8aa3) >- MST-12-S2-03 solves financial problems involving annuities ## πŸ“– Prior Knowledge | Content | Prior knowledge | Used for | | ------------------------ | ------------------- | ----------- | | [[Investment and Loans]] | - compound interest | - annuities | ## Annuities - Identify an annuity as an investment account with regular, equal contributions and interest compounding at the end of each period, or as a single sum investment from which regular equal withdrawals are made - Model an annuity in tabular form for up to four time periods - Use a spreadsheet to model an annuity - Using a table of interest factors, calculate the future value or present value of an annuity - Using a table of interest factors, determine the contribution amount required to achieve a given future value or the single sum contribution required to produce an equivalent future value for any given annuity - Examine the effect of varying the amount initially invested, the value of the periodic payment, the interest rate and the duration of the annuity on the total value of the investment, using digital tools - Solve annuity problems involving financial decisions regarding superannuation, savings accounts and loans