320W 2023 Final Exam Practice Solutions(2)
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Feb 20, 2024
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RM 320 Final Exam Practice Solutions
1)
An insurance company opens on 12/31/15. It has $2 million in investments and $2 million in cash as its total assets upon opening. It has not sold any policies yet. On 1/1/16, the insurer sells policies and collects $9 million in premiums. It has initial expenses associated with selling the policies of $3 million. (a) Fill in the balance sheet below for 1/1/16 without insurance. Calculate the Kenney ratio.
The insurer then decides to enter a quota share reinsurance treaty. They cede 45% of the premiums and losses and collect a 30% commission.
(b) Fill in the balance sheet below for 1/1/16 with reinsurance. Calculate the Kenney ratio. Balance Sheet . 12/31/15
1/1/16
1/1/16 w/ reinsurance
Assets
Cash
$2
8 mil
5.165 mil
Investments
$2 mil
2 mil
2 mil
Total Assets
$4 mil
10 mil
7.165 mil
Liabilities
UPR
9 mil
4.95 mil
Policyholder Surplus
$4 mil
1 mil
2.215
Kenney Ratio
9
2.2348
2)
Fill in this table for this set of policies under surplus share treaty with a retention of $10 million:
Amount Paid by Reinsurer
Amount of Insurance
% Retained
% Reinsured
if a $1 million Loss Occurs
$5 million
100%
0% $0
$10 million
100%
0% $0
$20 million
50%
50% $500,000
$30 million
33.3333% 66.6667%
$666,667
$40 million
25%
75%
$750,000 $50 million
20%
80%
$800,000
3) The following is a sample experience rating worksheet:
COMPENSATION RATING BUREAU
EXPERIENCE RATING CALCULATION
Policy Effective Date: 2/1/23
Losses as
Part I
Year
Indemnity
Medical
Total
Used = A
Exhibit of Actual Losses
20 160,000
312,000 472,000 254,500
21
113,000
327,000 440,000 240,000
22
43,000
62,000 105,000
100,500
Total
316,000
701,000 1,017,000
595,000
Part II
Policy Claim #
Losses as
Losses as
Exhibit of Losses
Year Number
Reported Used Subject to Limiting
20
20-2
150,000
42,500
Values
20
20-3
55,000
42,500
20
20-5
140,000
42,500
21
21-2
170,000
42,500
21
21-5
60,000
42,500
21
21-6
55,000
42,500
21
21-7
85,000
42,500
22
22-2
47,000
42,500
Total
762,000 340,000
Part III
Class
Policy
Expected Expected
Exhibit of
Code
Year Payroll
Loss Factor Losses = E
Payrolls, Expected
20
15,000,000
2.26
339,000
Losses, 21
11,000,000
1.91
210,100
Authorized
22
2,000,000
1.48
29,600
Classes, etc.
551
20
50,000
.47
235
21
100,000
.41
410
22
200,000
.32
640
951
20
2,000,000
.23
4,600
21
2,500,000
.20
5,000
22
1,000,000
.15
1,500
953
Total
N/A
591,085
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