320W 2023 Final Exam Practice Solutions(2)

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Pennsylvania State University *

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320

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Accounting

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Feb 20, 2024

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docx

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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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