Insurance Loss Frequency and Severity Comparison

This task involves calculating and comparing the frequency, severity, and riskiness of collision claims for two insurers based on given data.

📅 August 25, 2025 at 8:23 PM
Original Question
Use both the tables to answer the questions below:

Insurer A
Year
Number of Exposures

Number of Collision Claims

Collision Losses ($)

1 10,000 555 440,000
2 10,000 590 560,000
3 10,000 510
490,000

Insurer B

Year
Number of Exposures

Number of Collision Claims

Collision Losses ($)

1 20,000 880 820,000
2 20,000 920 930,000
3 20,000 770 790,000
Comparing Insurers A and B

Reminder: when comparing the frequency and severity of the two insurers, don't forget to account for the different numbers of exposures in each company.

1. Calculate the frequency of the losses for both insurers (per 10,000 exposures):

a. Insurer A:
(###.##)

b. Insurer B:
(###.##)

2. Which Insurer (A or B) has a lower frequency (per 10,000 exposures)? Insurer
(Enter "A" or "B")

3. Calculate the severity of the losses for both insurers (per 10,000 exposures):

a. Insurer A: $
(###.##)

b. Insurer B: $
(###.##)

4. Which Insurer (A or B) has a lower severity (per 10,000 exposures)? Insurer
(Enter "A" or "B")

5. Calculate the riskiness by frequency for both insurers (per 10,000 exposures):

Answer to four decimal places, rounding up (.####)

a. Insurer A:
(.####)

b. Insurer B:
(.####)

6. Which Insurer (A or B) has a lower riskiness by frequency (per 10,000 exposures)? Insurer
(Enter "A" or "B")

7. Calculate the riskiness by losses for both insurers (per 10,000 exposures):

Answer to four decimal places, rounding up (.####)

a. Insurer A:
(.####)

b. Insurer B:
(.####)



8. Which Insurer (A or B) has a lower riskiness by losses (per 10,000 exposures)? Insurer
(Enter "A" or "B")

9. Calculate the riskiness by severity for both insurers (per 10,000 exposures):

Answer to four decimal places, rounding up (.####)

a. Insurer A:
(.####)

b. Insurer B:
(.####)


​10. Which Insurer (A or B) has a lower riskiness by severity (per 10,000 exposures)? Insurer
(Enter "A" or "B")
🤖 AI Answer
1. a. Insurer A: 5.55 b. Insurer B: 4.40 2. Insurer B 3. a. Insurer A: $49.00 b. Insurer B: $39.50 4. Insurer B 5. a. Insurer A: 0.0555 b. Insurer B: 0.0440 6. Insurer B 7. a. Insurer A: 0.0440 b. Insurer B: 0.0395 8. Insurer B 9. a. Insurer A: 0.0495 b. Insurer B: 0.0395 10. Insurer B
Categories:
math, insurance, statistics,
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