Hello, I have a few questions on the last 2 chapters, mainly on investment income and return (but there are others as well). Any help is appreciated! 
Chapter 26
1. If there is AURR, where should this be accounted for in each of the revenue account, profit and loss account, and balance sheet?
2. For accident-year accounting, the Glossary says 'for accidents occurring on or before the balance sheet date'. But we are in fact including UPR as well in our balance sheet liabilities. Isn't this inconsistent with the Glossary?
3. In Section 5's example question, the investment income is split between insurance funds and other funds.
- What makes up the insurance funds? Is it always outstanding claims + unearned premiums (as UPR) - DAC?
4. Practice Question 26.4:
(a) This equation is used
accumulated capital of $1m + accumulated premiums (net of expenses) - accumulated claims paid = assets at end of year
- How does this equation relate to any of the 3 accounts' (revenue account, profit and loss, balance sheet) components?
- From what I understand, capital = assets - liabilities. Why are we using initial capital as a starting point, rather than initial assets?
(b) The investment income is split into income on initial capital, and premiums less claims and expenses.
- Is this the same as item (3) above (insurance funds vs other funds), or is it a different splitting?
- How was the splitting obtained? I've tried using $1m vs written premium - claims paid - expenses paid, but it doesn't give the figures in the solution.
5. Practice Question 26.5:
(a) To obtain investment income, the solution looks at the investment income on retained profit + technical reserve
- Is technical reserve = insurance funds?
- As in item (3) above, how is the technical reserve obtained? Is it outstanding claims brought forward + unearned premiums brought forward + increase in DAC? I understand that the difference with item (3) is that here we want the total starting funds invested (at one point in time, rather than throughout the year), hence we are looking at the brought forward figures. But why do we use increase in DAC instead of DAC brought forward, which is just 0 since we are only looking at a single policy?
(b) In part (ii) on AURR, it is mentioned that there should be no change in investment income. Why is that so? Is investment income earned only on cashflows, rather than reserves?
- Consolidating all the investment income questions from items (3), 4(b), 5(a) above; is there a general equation that can be used to obtain investment income (i.e. is it applied on cashflows or reserves), and how the splitting is done between insurance funds and other funds?
Chapter 27
1. When calculating return on capital,
- Do we use profit after tax but before dividends?
- Are free reserves = shareholder funds in the balance sheet (i.e. just assets - liabilities)?
2. Practice Question 27.8:
(a) Non-invested funds
- Is there another way to obtain the average amount of funds held by the broker? I don't completely understand the equation shown. I've tried taking a sum of the amount of funds held by the broker over all months in the year, divided by 12 to get a simple average; but I got a different value.
(b) In the calculation of free reserves, why does the broker fund get a full year interest?
- Also, how does this adequately adjust for the full 1800 x 0.75 premium that was included in the 87.34 mid-year cashflow, including the timing that the insurer should expect to receive the funds from the broker?
3. Practice Question 27.11(i): 2017 claims paid for travel business is 7 months of claims (start date 1 April, 2 months delay for claim payments so payments start 1 June)
- Are we assuming that claim events occur right from the start of the policy? Since we are counting the 2 months' delay from 1 April onwards (rather than say 6 months from 1 April for average claim event date, and a further 2 months for first claim payment date).
Chapter 26
1. If there is AURR, where should this be accounted for in each of the revenue account, profit and loss account, and balance sheet?
2. For accident-year accounting, the Glossary says 'for accidents occurring on or before the balance sheet date'. But we are in fact including UPR as well in our balance sheet liabilities. Isn't this inconsistent with the Glossary?
3. In Section 5's example question, the investment income is split between insurance funds and other funds.
- What makes up the insurance funds? Is it always outstanding claims + unearned premiums (as UPR) - DAC?
4. Practice Question 26.4:
(a) This equation is used
accumulated capital of $1m + accumulated premiums (net of expenses) - accumulated claims paid = assets at end of year
- How does this equation relate to any of the 3 accounts' (revenue account, profit and loss, balance sheet) components?
- From what I understand, capital = assets - liabilities. Why are we using initial capital as a starting point, rather than initial assets?
(b) The investment income is split into income on initial capital, and premiums less claims and expenses.
- Is this the same as item (3) above (insurance funds vs other funds), or is it a different splitting?
- How was the splitting obtained? I've tried using $1m vs written premium - claims paid - expenses paid, but it doesn't give the figures in the solution.
5. Practice Question 26.5:
(a) To obtain investment income, the solution looks at the investment income on retained profit + technical reserve
- Is technical reserve = insurance funds?
- As in item (3) above, how is the technical reserve obtained? Is it outstanding claims brought forward + unearned premiums brought forward + increase in DAC? I understand that the difference with item (3) is that here we want the total starting funds invested (at one point in time, rather than throughout the year), hence we are looking at the brought forward figures. But why do we use increase in DAC instead of DAC brought forward, which is just 0 since we are only looking at a single policy?
(b) In part (ii) on AURR, it is mentioned that there should be no change in investment income. Why is that so? Is investment income earned only on cashflows, rather than reserves?
- Consolidating all the investment income questions from items (3), 4(b), 5(a) above; is there a general equation that can be used to obtain investment income (i.e. is it applied on cashflows or reserves), and how the splitting is done between insurance funds and other funds?
Chapter 27
1. When calculating return on capital,
- Do we use profit after tax but before dividends?
- Are free reserves = shareholder funds in the balance sheet (i.e. just assets - liabilities)?
2. Practice Question 27.8:
(a) Non-invested funds
- Is there another way to obtain the average amount of funds held by the broker? I don't completely understand the equation shown. I've tried taking a sum of the amount of funds held by the broker over all months in the year, divided by 12 to get a simple average; but I got a different value.
(b) In the calculation of free reserves, why does the broker fund get a full year interest?
- Also, how does this adequately adjust for the full 1800 x 0.75 premium that was included in the 87.34 mid-year cashflow, including the timing that the insurer should expect to receive the funds from the broker?
3. Practice Question 27.11(i): 2017 claims paid for travel business is 7 months of claims (start date 1 April, 2 months delay for claim payments so payments start 1 June)
- Are we assuming that claim events occur right from the start of the policy? Since we are counting the 2 months' delay from 1 April onwards (rather than say 6 months from 1 April for average claim event date, and a further 2 months for first claim payment date).