- Mathematics General
- Year 12
Loans, Investments and Annuities
approx. 12 hrs
6 topics
39 concepts
Enrol in Loans, Investments and Annuities to optimise your academic outcomes in Mathematics.
approx. 12 hrs
6 topics
39 concepts
Enrol in Loans, Investments and Annuities to optimise your academic outcomes in Mathematics.
Loans, Investments and Annuities enables students to solve practical problems associated with taking out or refinancing a mortgage and making investments. We will help students understand the concepts and techniques in loans, investments and annuities and how to apply reasoning skills to solve related questions. Students will develop proficiency when using a CAS calculator. Learning to select the relevant data to process, interpreting the results and communicating a response in the context of the question.
This learning program is made up of the following 6 topics, broken down into 39 concepts.
Use a graphing calculator to generate sequences from recurrence relations
Using a rule to find the value of a simple interest loan or investment after n years
Using a rule to find the value of an asset after n units of use
Using a rule to find the value of an asset after flat-rate depreciation after n years
Use a recurrence model to analyse unit cost depreciation with a graphing calculator
Modelling unit cost depreciation with a recurrence relation
Use a recurrence model to analyse flat rate depreciation with a graphing calculator
Modelling simple interest with a recurrence relation
Use a recurrence model to analyse a simple interest investment or loan with a graphing calculator
Modelling flat rate depreciation with a recurrence relation
Write a rule for determining the nth term for linear growth or decay
Use a calculator to generate a sequence of numbers from a rule
Generate a sequence from a first-order linear recurrence relation
Using a graphing calculator to solve geometric growth and decay problems
Using a rule to solve reducing balance depreciation problems
Modelling compound interest with a recurrence relation with different compounding periods
Using a rule to solve compound interest problems
Modelling reducing balance depreciation with a recurrence relation
Writing rules for the nth term of a sequence generated from a geometric recurrence relation
Modelling compound interest with a recurrence relation that compounds yearly
Convert between nominal and compounding interest rates
Compare loans and investments with effective interest rates
Calculate effective interest rates with a graphing calculator
Generate a sequence from a recurrence relation that combines geometric and linear growth and decay
Model real-life situations using a recurrence relation combining geometric and linear growth and decay
Use a recurrence relation to analyse a reducing balance loan with a graphing calculator
Read and interpret an amortisation table for reducing balance loans
Use a Financial Solver to solve interest-only loan problems
Model a reducing balance loan with a recurrence relation
Use a Financial Solver to solve reducing balance loan problems
Use a Financial Solver to analyse an annuity and solve related problems
Using a recurrence relation to analyse an annuity with a graphing calculator
Modelling an annuity with a recurrence relation
Use a Financial Solver to solve perpetuity problems
Read and interpret an amortisation table for annuities
Read and interpret an amortisation table for compound interest investments with regualr additions to the principal
Modelling compound interest investments with regular additions to the principal
Using a recurrence relation to analyse compound interest investments with additions to the principal
Using a financial solver to analyse a compound interest investment with regular additions to the principal
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