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Actuarial

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ACTL1001 Final Exam

Duration: 2 Hours
Weighting: 55%
Total marks: 100 Marks

4 Questions (All of different weighting)

1. Life Insurance (31%)
Pricing calculations (toughest calculations in the paper!)
Explanation and reasoning required behind choices, i.e. annotate your working!!

Things to know + Expected Questions:
• Types of life insurance
- Life annuity
- Term
- Life perpetuity
• Proofs: If there were to be a proof we are examined on, it would be on perpetuities (reason being it is easy to mark)
• Insurance valuation (principle of equivalence)
• Risk loading

Types of Math Involved
- Annuities or Perpetuities
- CEV
- Utility
- Survival Functions
- Life Tables
- Probability of Ruin
- Principle of Equivalence
- Super contribution question
- FAS calculations
- Reserve calculations

2. Health Insurance (14%)
2 questions worded similarly to those in the tutorial exercises (Week 6: Health Insurance)
Brian will be marking this section. Have concise reasoning.
There will be no math in this section.
Since it is only 14 marks, you should only have 1.5 pages MAX for your response.
The question is based more on the current structure of the healthcare system and how it reformed.

Things to do
• Gather a group of people to share and compare your answers to the health insurance tutorial questions.
• Consider reading the IBIS report for health insurance
• This is a qualitative question, taken from the tutorial homework

3. General Insurance (30%)
Excel based question
Reinsurance in the context of risk and capital management
Implications of risk in reinsurance

Things to know
• You’ll get some excel sheet with values and shit on it, then you’re gonna have to ‘decode’ it. You won’t need distributions for this.
• Excel based pricing
• Probability of ruin (this could also fall under life insurance- it would take up an easy 10 marks)

4. Superannuation (25%)
Defined contribution scheme
Retirement adequacies
Investment management of superannuation assets
Read the IBIS reports.

Things to know
• The two main types of schemes
- Contribution
- Benefit
• The three main things about supper
1. Save young
2. Put more on top of the compulsory contributions
3. Grow conservative with your investments when you are old
• Qualitative based stuff

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