Here’s a transcription and summary of the balance sheet problem in the image: --- ### PROBLEM 1 #### December 31, 2026 BALANCE SHEET **Assets:** - Cash: $10,000,000 - Stocks and Bonds: $36,000,000 **TOTAL:** $46,000,000 **Liabilities:** - UPR (Unearned Premium Reserve): $6,000,000 - Loss Reserve: $40,000,000 **Policyholders’ surplus:** $46,000,000 **Additional Information:** - Premium written: $18,000,000 (all written on Dec 31, 2026) - Expenses: 29% --- #### January 1, 2027 ##### WITHOUT REINSURANCE **Assets:** - Cash: $18,780,000 - Stocks and Bonds: $36,000,000 **TOTAL:** $54,780,000 **Liabilities:** - UPR - Loss Reserves - Policyholders’ surplus (not filled in the image) --- ##### WITH REINSURANCE - 70% quota share and 28% commission **Assets:** - Cash: $9,072,000 - Stocks and Bonds: $36,000,000 **TOTAL:** $45,072,000 **Liabilities:** - UPR - Loss Reserves - Policyholders’ surplus (not filled in the image) --- **Observations:** - The balance sheet adjusts based on whether reinsurance is purchased. - **With reinsurance:** cash assets decrease, likely due to ceding premium and commission. - **Without reinsurance:** cash assets increase, possibly reflecting retention of full premium. Would you like help with the calculations or explanations for these balance sheet changes?

Based on the provided information and typical accounting practices for insurance companies, we can attempt to fill in the missing fields of the balance sheet. **Given Data Recap:** - **December 31, 2026:** - Assets: - Cash: $10,000,000 - Stocks and Bonds: $36,000,000 - Total Assets: $46,000,000 - Liabilities: - UPR (Unearned Premium Reserve): $6,000,000 - Loss Reserve: $40,000,000 - Policyholders’ Surplus: $46,000,000 - **Premium Written:** $18,000,000 - **Expenses:** 29% --- ### January 1, 2027 (Without Reinsurance): - **Assets:** - Cash: $18,780,000 (given) - Stocks and Bonds: $36,000,000 (given) - **Total Assets:** $54,780,000 (given) - **Liabilities:** - UPR: To be calculated - Loss Reserves: To be calculated - Policyholders’ Surplus: To be calculated --- ### January 1, 2027 (With Reinsurance): - **Assets:** - Cash: $9,072,000 (given) - Stocks and Bonds: $36,000,000 (given) - **Total Assets:** $45,072,000 (given) - **Liabilities:** - UPR: To be calculated - Loss Reserves: To be calculated - Policyholders’ Surplus: To be calculated --- ### Filling in the missing fields: **Step 1: Calculate Premiums and Reserves** - The premium written is $18 million. - Expenses are 29% of premiums: Expenses = 0.29 * $18,000,000 = $5,220,000 - Assuming the premiums are earned evenly over the year, but since the date is December 31, 2026, and we're looking at the balance sheet at that date, the UPR should reflect the unearned portion of the premium as of December 31, 2026. - For simplicity, if all premiums are written on December 31, 2026, then: - All premiums are unearned at year-end, so UPR = $18,000,000 - But since the UPR in the balance sheet is $6 million, it suggests that only part of the premium is unearned, or that the earned premium is accounted for. **Step 2: Determine the UPR and Loss Reserves at January 1, 2027** - **Without Reinsurance:** - **Premium earned:** Since all premiums were written on Dec 31, 2026, and the balance sheet is at that date, the earned premium is: - Premium earned = Premium written - UPR - Given the UPR is $6 million, then: - Premium earned = $18 million - $6 million = $12 million - **Loss Reserves:** - The loss reserve is given as $40 million at Dec 31, 2026, but this may have been adjusted for claims paid or incurred. - For simplicity, if no claims are paid or settled, the loss reserve remains at $40 million. - **Assets:** - Cash increased from $10 million to $18.78 million, which suggests premium income and/or cash inflow. - **Liabilities:** - UPR at Jan 1, 2027, is likely the same as at Dec 31, 2026, unless there's a change. - **Policyholders’ Surplus:** - Total Assets - Total Liabilities - At Dec 31, 2026: $46 million assets, $46 million liabilities, surplus $0 (or as given, surplus is $46 million, which is inconsistent unless assets and liabilities are equal). - At Jan 1, 2027: - Assets: $54.78 million - Liabilities: sum of UPR + Loss Reserve = $6 million + $40 million = $46 million - Surplus = $54.78 million - $46 million = **$8.78 million** --- ### **Summary of the filled fields:** | Field | Value | |---------------------------|------------------------------| | **Dec 31, 2026** Assets | | | Cash | $10,000,000 | | Stocks and Bonds | $36,000,000 | | **Total Assets** | $46,000,000 | | **Liabilities** | | | UPR | $6,000,000 | | Loss Reserve | $40,000,000 | | Policyholders' Surplus | $0 (or as per initial data, possibly $46 million total assets minus liabilities, which matches the surplus) | | **Premiums Written** | $18,000,000 | | **Expenses** | $5,220,000 | --- | Field | **January 1, 2027 (Without Reinsurance)** | |---------------------------|-------------------------------------------| | Cash | $18,780,000 | | Stocks and Bonds | $36,000,000 | | **Total Assets** | $54,780,000 | | **Liabilities** | | | UPR | $6,000,000 | | Loss Reserve | $40,000,000 | | Policyholders' Surplus | $8,780,000 | --- | Field | **January 1, 2027 (With Reinsurance)** | |---------------------------|----------------------------------------| | Cash | $9,072,000 | | Stocks and Bonds | $36,000,000 | | **Total Assets** | $45,072,000 | | **Liabilities** | | | UPR | To be adjusted based on reinsurance terms | | Loss Reserve | To be adjusted based on reinsurance terms | | Policyholders' Surplus | To be calculated based on above values | **Note:** The actual UPR and Loss Reserve under reinsurance may be scaled down proportionally if premiums are ceded, but specific reinsurance terms are needed for precise calculation. --- ### **Conclusion:** Yes, the remaining fields can be filled with the given data, assuming standard insurance accounting practices and some reasonable assumptions about earned premiums and reserves. The key missing pieces are the exact UPR and Loss Reserves after adjustments, which depend on claims paid, incurred, and reinsurance arrangements. If you need precise calculations based on specific reinsurance treaties or additional data, please provide those details.