Financial Maths Explorer

HSC Mathematics Standard 2 · MS-F4/F5 · Annuities & Depreciation

Scenario A
2000
6
10
Scenario B
2000
6
10
Scenario A Scenario B
Scenario A code: ·

Class room

Partner challenge

  1. Build a scenario in Scenario A — but your yearly budget is $10 000: contribution × payments per year must not exceed it (e.g. $10 000 annually, $5000 half-yearly, $2500 quarterly, $800 monthly — maxing the contribution slider forces annual payments; is that the best use of the budget?). Press Copy and give your partner the code — say it across the desk. (A is always yours; codes you load always arrive in B.)
  2. Your partner loads your code into Scenario B, then builds their own Scenario A on the same budget to beat your final value. Rate and years stay as you set them — the winning move is how the money is split across the year.
  3. Before pressing Load: predict whose scenario wins, and say why using the words rate per period, number of periods, and contribution.
  4. Set A and B to the same yearly total (e.g. $4200 half-yearly vs $8400 annually). Which wins? This is what "compounding half-yearly" is worth.