Risk Theory

Description: This quiz is designed to assess your understanding of the fundamental concepts and principles of Risk Theory.
Number of Questions: 15
Created by:
Tags: risk theory probability expected value variance loss distribution
Attempted 0/15 Correct 0 Score 0

In Risk Theory, what is the expected number of claims occurring in a given time interval?

  1. Expected Claim Frequency

  2. Expected Claim Severity

  3. Expected Total Claim Cost

  4. Expected Loss Ratio


Correct Option: A
Explanation:

Expected Claim Frequency is the average number of claims expected to occur during a specified period of time.

Which of the following is NOT a common type of loss distribution used in Risk Theory?

  1. Normal Distribution

  2. Poisson Distribution

  3. Exponential Distribution

  4. Binomial Distribution


Correct Option: D
Explanation:

Binomial Distribution is not commonly used in Risk Theory because it is typically used to model the number of successes in a sequence of independent experiments, rather than the occurrence of claims.

What is the formula for calculating the variance of a random variable representing claim severity?

  1. $$V(X) = E(X^2) - (E(X))^2$$

  2. $$V(X) = E(X) - (E(X^2))^2$$

  3. $$V(X) = (E(X))^2 - E(X^2)$$

  4. $$V(X) = E(X^2) + (E(X))^2$$


Correct Option: A
Explanation:

The variance of a random variable is calculated as the expected value of the squared deviation from the mean.

What is the term used to describe the ratio of the expected total claim cost to the total earned premium?

  1. Loss Ratio

  2. Expense Ratio

  3. Combined Ratio

  4. Incurred Loss Ratio


Correct Option: A
Explanation:

Loss Ratio is the ratio of the expected total claim cost to the total earned premium.

In Risk Theory, what is the term used to describe the probability of a claim occurring?

  1. Claim Frequency

  2. Claim Severity

  3. Claim Cost

  4. Loss Probability


Correct Option: A
Explanation:

Claim Frequency is the probability of a claim occurring.

Which of the following is NOT a common method for estimating the expected claim frequency?

  1. Historical Data Analysis

  2. Actuarial Judgment

  3. Monte Carlo Simulation

  4. Regression Analysis


Correct Option: D
Explanation:

Regression Analysis is not commonly used for estimating expected claim frequency because it is typically used to model the relationship between two or more variables, rather than the occurrence of claims.

What is the term used to describe the difference between the total earned premium and the expected total claim cost?

  1. Underwriting Profit

  2. Underwriting Loss

  3. Net Income

  4. Gross Profit


Correct Option: A
Explanation:

Underwriting Profit is the difference between the total earned premium and the expected total claim cost.

Which of the following is NOT a common method for estimating the expected claim severity?

  1. Historical Data Analysis

  2. Actuarial Judgment

  3. Monte Carlo Simulation

  4. Expert Opinion


Correct Option: D
Explanation:

Expert Opinion is not commonly used for estimating expected claim severity because it is subjective and may not be reliable.

What is the term used to describe the probability distribution of the total claim cost?

  1. Loss Distribution

  2. Claim Frequency Distribution

  3. Claim Severity Distribution

  4. Total Claim Cost Distribution


Correct Option: D
Explanation:

Total Claim Cost Distribution is the probability distribution of the total claim cost.

Which of the following is NOT a common method for managing risk?

  1. Risk Avoidance

  2. Risk Retention

  3. Risk Transfer

  4. Risk Mitigation


Correct Option: D
Explanation:

Risk Mitigation is not a common method for managing risk because it involves reducing the likelihood or impact of a risk, rather than transferring or avoiding it.

What is the term used to describe the process of transferring risk from one party to another?

  1. Risk Avoidance

  2. Risk Retention

  3. Risk Transfer

  4. Risk Mitigation


Correct Option: C
Explanation:

Risk Transfer is the process of transferring risk from one party to another.

Which of the following is NOT a common type of insurance policy?

  1. Property Insurance

  2. Liability Insurance

  3. Life Insurance

  4. Health Insurance


Correct Option: A
Explanation:

Property Insurance is not a common type of insurance policy because it is typically used to cover damage to property, rather than liability or health.

What is the term used to describe the maximum amount that an insurer will pay for a claim?

  1. Policy Limit

  2. Deductible

  3. Premium

  4. Coinsurance


Correct Option: A
Explanation:

Policy Limit is the maximum amount that an insurer will pay for a claim.

Which of the following is NOT a common type of reinsurance contract?

  1. Proportional Reinsurance

  2. Non-Proportional Reinsurance

  3. Facultative Reinsurance

  4. Treaty Reinsurance


Correct Option: C
Explanation:

Facultative Reinsurance is not a common type of reinsurance contract because it is typically used to cover a specific risk, rather than a portfolio of risks.

What is the term used to describe the process of sharing risk among multiple insurers?

  1. Reinsurance

  2. Risk Pooling

  3. Risk Transfer

  4. Risk Mitigation


Correct Option: A
Explanation:

Reinsurance is the process of sharing risk among multiple insurers.

- Hide questions