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White Paper June 2017 Insurance companies asset allocation drivers Part II Asset allocation under Solvency II Authored by: Andries Hoekema, Global Head of Insurance Segment Farah Bouzida, Financial Engineer For professional clients only

Insurance companies asset allocation drivers part II Asset allocation under Solvency II Introduction Case 1: Life insurers Optimising under Solvency II Hedged scenarios - using government bonds Hedged scenarios - using swaps Unhedged scenarios - using government bonds Unhedged scenarios - using swaps Key take-aways for life insurance asset allocation Case 2: Non-life insurers Hedged scenario Unhedged scenario Conclusion navigating the complexities of optimisations Appendices Authors Important information Page 3 Page 4 Page 4 Page 5 Page 7 Page 8 Page 10 Page 11 Page 12 Page 12 Page 14 Page 15 Page 16 Page 17 Page 19 Executive summary Defining an investment policy is never a straightforward decisionmaking process. It is made even more difficult when there are many considerations to factor in like the core business objective, regulatory requirements and how to assess reward versus risk. Through this white papers series, we have aimed to define the investment policy of insurers in the context of their core business and regulatory constraints. In this paper, we provide a set of realistic strategic asset allocations under the Solvency II framework where both the investment constraints driven by insurers core business liabilities and changing economic conditions are taken into account. When assessing core business liabilities we distinguish between a life and non-life insurer s liability profile. Our results suggest that there are a number of trade-offs between hedging and investment decisions when assessed through a Solvency II framework. For example, within the current low yield environment, Euro life insurers who seek higher return may consider hedging their long dated liabilities using swaps and use their available cash to invest into higher return assets than government bonds. Such a move may be attractive for insurers that have adopted fair value accounting for their liabilities, but will create P&L volatility for those that have not. Please click on the following link for an overview of this paper s findings 2

Introduction This series of white papers (of which this is the second out of three) aims to distil the very complex task of defining a strategic asset allocation for an insurer depending on their core business operation. As is widely known, the core business of an insurer drives its liabilities. For example, life-insurers have structurally longer-dated liabilities while non-life insurers typically have higher allocations to liquid assets in order to cover any eventual short term insurance obligations. Therefore, our first step to simplify decision making is to distinguish two types of insurers in accordance with their core businesses: Life and Non-life. Inevitably, the ever-changing macroeconomic landscape will impact an insurer s asset allocation. As such, insurers need a lens through which to interpret these changes and embed them in their asset allocation. To this end, HSBC Global Asset Management s framework helps to anchor this decision-making process using long-term valuation signals 1 over a broad set of asset classes. In order to account for both the economic implications of Solvency II and the market environment, we designed a Solvency II optimisation framework where the primary objective is to maximise the return of the allocation for a given Solvency Capital Requirement (SCR) 2. The SCR is used as an ex-ante risk measure in the optimisation process, while the resulting volatilities and Sharpe ratios are measured ex-post and enable us to assess which allocation provides the best risk-adjusted properties. After defining a theoretical liability profile for each type of insurer, we assessed the implications of hedging their liabilities by using 100% government bonds investments, or 100% swaps or an equal weight of both bonds and swaps. Finally, since currency hedging has significant implications both on the valuation side and the capital requirement side, we performed separate optimisations where all assets are either hedged to EUR or left unhedged 3. Strategic versus Dynamic Asset Allocation Optimisation Expected returns have a significant impact on results in the type of asset allocation optimisation we have performed in this paper. It is important to have a clear link between the objectives of the optimisation and the methodology used to produce the expected returns. A strategic asset allocation optimisation is typically designed to produce a stable base that is not expected to change significantly over time, whereas a dynamic allocation optimisation is designed to take advantage of current market circumstances. In this paper we focus on the latter, emphasising a tactical asset allocation. HSBC Global Asset Management s Expected Returns methodology is based on a number of core concepts: Excess volatility; Time-varying risk premia; Long-term return predictability. These concepts can be combined to produce expected returns that are driven by 1) current valuations and 2) long-term equilibrium levels. Because valuations can move around significantly over time, an asset allocation optimisation based purely on expected returns driven by current valuations will itself be very dependent on timing. A strategic asset allocation should be based more on long-term economic relationships, and so for SAA optimisation the point-in-time expected returns are blended with equilibrium returns to construct a robust set of expected returns for each asset class. For dynamic allocation optimisation, there can be a stronger emphasis on the point-in-time expected returns and therefore on current valuations. This can produce useful signals for tactical asset allocation decisions. 1 Long-term valuation signals refer to forward looking expected returns for a broad range of asset classes over a 10 Year horizon. Valuations herein are driven from HSBC Global Asset Management proprietary models. 2 For further details on our optimisation framework, refer to our previous paper Optimal Optimisation under Solvency II - Hoekema et al, 2017. 3 Currency hedging is an investment decision on its own. In order to focus on the asset allocation side rather than currency hedging, we investigate the case where all non-euro dominated assets are hedged and then separately examine a case where all non-euro assets are unhedged. 3

Expected payments Case 1: Life insurers Optimising under Solvency II Based on the hypothetical life insurance liability profile used in the previous paper (see on the right), we performed an asset allocation optimisation under the Solvency II Standard Model. In order to produce realistic results, we had to make a limited number of assumptions. Firstly, because we perform the optimisation at the asset class level, for fixed income asset classes the duration we use is that of a relevant benchmark index. We do not currently produce expected returns within asset classes for different duration buckets. When optimising for life insurance companies, duration is a very relevant variable given the longdated liabilities they carry on their books. An optimisation that does not take this into account is likely to produce a significant over-allocation to fixed income assets in order to reduce the overall interestrate sensitivity. We addressed this problem by creating a three-stage process: 1. We assumed all liabilities beyond 15 years are cash-flow matched by government bonds, interest rate swaps or a combination of the two; 2. We calculated the part of the investment portfolio that would be taken up by the cash-flow matching and then optimised the remainder, taking into account only liabilities within 15 years; 3. We combined the two into one final portfolio for which we calculated a series of variables. The optimisation finds the asset allocation with the maximum expected return for a given level of SCR. Variables such as the Sharpe ratio and expected volatility are calculated for the resulting asset allocations. By running this optimisation for a wide range of SCR levels, it is possible to identify those Return-on-SCR-optimised portfolios that have the highest Sharpe ratio and the highest Return on SCR 4. Life Insurers asset allocations constraints: In order to more specifically define the investment constraints driven by the long-dated liabilities profile of a Life-insurer investor, we made the following assumptions: A portfolio of government bonds and/or interest rate swaps can be structured to produce the expected liability cash flows beyond 15 years at the time they are due. The market value of government bonds to be purchased is equal to the present value of the liabilities they will match, discounted at the EIOPA risk-free discount curve. This implies that the expected returns of these bonds are equal to the relevant rates on the EIOPA curve. We exclude assets and liabilities beyond 15 years from the optimisation since they are cash-flow matched and the SCR requirements for government bonds and swaps are either very low or even zero. We assume interest-rate swaps have zero expected return, and we expect the amount of collateral posted for counterparty risk to equal 10% of the present value of the liabilities they will match. Collateral posted/received for interest rate swaps has an expected return of 1.0%, which is the (long-term) expected return on cash. The size of the investment portfolio is equal to 130% of the present value of the liabilities. 4 The Return on SCR is the ratio of the return over SCR which is equivalent to an information ratio. Life insurer hypothetical cash-flow profile 120 100 80 60 40 20 Assets Liabilities Please click on the following link for a generic overview of the different investment strategies that insurance companies have to consider 0 1 6 11 16 21 26 31 36 41 46 51 56 Year Source: HSBC Global Asset Management, May 2017, for illustrative purposes only 4

Case 1: Life insurers Hedged scenario using government bonds The first optimisations are performed using a fully EUR hedged investment universe 5, and some investment constraints are applied at the level of the allocation to reflect the hedging policy on the liability side. In this example, the policy to fully hedge long-dated liabilities with government bonds forces the insurer to invest about 29% 6 into Eurozone Government Bonds, and the remaining 71% of the allocation is subject to optimisation. Figure 1: EUR Hedged / Liability Matching Portfolio: 100% government bonds Figure 1.a. Highest RoSCR & Highest Sharpe Ratio Optimised Allocations Highest RoSCR Highest Sharpe Ratio 0% 25% 50% 75% 100% Eurozone Equities Global Equities EM Equities Eurozone Govt Bonds Global Govt Bonds Global IG Credit Euro IG Credit Euro HY Credit EM Debt Local CCY Global HY Credit EU Inflation Bonds Cash Listed Real Estate Private Equity Figure 1.b. Optimised allocations Key risk/return characteristics EUR Hedged/ 100% govt matching Expected return SCR Duration RoSCR Vol Sharpe Ratio Highest Sharpe Ratio 2.1% 13.1% 2.93 0.16 5.6% 0.20 Highest RoSCR 1.2% 2.9% 3.66 0.41 2.8% 0.06 Source: HSBC Global Asset Management, 31 March 2017, for illustrative purposes only 5 See more details on the investment universe in the Appendix. 6 See more on liabilities assumptions in the box above entitled Life Insurers Asset Allocation Constraints. 5

Figure 1.b highlights some of the key statistics of the Highest Sharpe Ratio Portfolio and the Highest RoSCR Portfolio. As one would expect, the Highest RoSCR Portfolio reaches this result mostly through a very low SCR. In contrast, the Highest Sharpe Portfolio has almost 4 times as much SCR and only 0.9% of additional return. This is a key finding when performing an SCR optimisation: increasing the SCR budget is not always rewarded to the same extent as increasing a volatility budget in a purely economic optimisation. In terms of allocation (Figure 1.a) the major difference between the Highest RoSCR and the Highest Sharpe ratio portfolios is that the former is more heavily allocated into Eurozone Inflation Linked Bonds and Cash, moderately allocated into Eurozone High Yield (9%), and it skips most equity-like asset classes. In contrast, the highest Sharpe ratio allocation invests about 27% in Investment Grade and High Yield assets, and about 20% into Equities. This difference illustrates one of the key elements of the Solvency II Standard Model, which is that subinvestment grade rated 7 credit is very capitalintensive. Inflation-linked bonds are typically issued by countries and corporates with strong investment grade ratings, which helps to explain their presence in the highest RoSCR portfolio. A second explanation is that duration plays a larger role in the optimisation for Return on SCR, since that calculation incorporates the interest-rate sensitivity of liabilities. Inflation-linked bonds typically have higher duration than HY bonds for these calculations, the numbers are 8 years and 4 years respectively for the relevant benchmarks 8. Points to note: Global HY Credit appears to be very attractive from a risk/return perspective, but is clearly penalised under Solvency II because of the high capital requirement for sub-investment grade fixed income. EM Equities suffer a similar fate. Inflation-linked bonds are very attractive in this scenario. They have a very low or even zero SCR for spread risk, and a better expected return than fixed-rate government bonds in the current economic environment. The cash allocation is very high for a life insurer in the portfolio with the highest RoSCR. This is driven by the positive expected return of 1% on cash, better than that of government bonds. With an overall expected return below 1.0%, the portfolio with the highest RoSCR may ultimately not be the most attractive allocation for a life insurer either because of its low return or because of its lower diversification. The Highest Sharpe ratio allocation tends to be better diversified. 7 Solvency II has a number of peculiarities that result from the calibration of the stresses based on historical experience. One of these is that unrated debt has a SCRspread in between BBB and BB, which can make it more attractive than some High Yield portfolios. We have not used unrated debt as an asset class in these optimisations. 8 See Appendix for further details on benchmark indices duration. 6

Case 1: Life insurers Hedged scenario using swaps Figure 2: EUR Hedged / Liability Matching Portfolio: 100% swaps Figure 2.a.: Highest RoSCR & Highest Sharpe Ratio Optimised Allocations Highest RoSCR Highest Sharpe Ratio 0% 25% 50% 75% 100% Eurozone Equities Global Equities EM Equities Eurozone Govt Bonds Global Govt Bonds Global IG Credit Euro IG Credit Euro HY Credit EM Debt Local CCY Global HY Credit EU Inflation Bonds Cash Listed Real Estate Private Equity Figure 2.b.: Optimised allocations Key risk/return characteristics EUR Hedged/ 100% swaps Expected return SCR Duration RoSCR Vol Sharpe Ratio Highest Sharpe Ratio 2.9% 18.0% 4.03 0.16 7.7% 0.24 Highest RoSCR 1.6% 3.9% 5.04 0.41 3.9% 0.16 Source: HSBC Global Asset Management, 31 March 2017, for illustrative purposes only The use of swaps to hedge the liabilities beyond 15 years frees up a significant amount of cash that can be used in the optimisation process. We have assumed 10% of the notional of swaps is invested in cash to be used for collateral, and the rest of the portfolio is invested in return assets. The additional funds are generally allocated in the same proportions as in the previous scenario except that the optimisation doesn t invest into Eurozone Government Bonds. Instead, optimisations for both Highest Sharpe Ratio and Highest RoSCR invest more heavily into Eurozone Inflation Linked Bonds due to their higher expected return. From the perspective of Solvency II, the use of interest swaps to hedge long-dated liabilities clearly has a positive effect as the most Solvency-efficient allocation, as well as the allocation with the Highest Sharpe Ratio, both offer higher expected returns. Solvency II is not the only consideration in deciding whether to use bonds or swaps to hedge long-dated liabilities. Swaps will usually be measured at fair value in the insurance accounts and if the liabilities they hedge are not measured at fair value, the insurance company may be exposed to unwanted P&L volatility. We also tested a scenario where we matched 50% of the long liabilities with government bonds and 50% with swaps. There were no surprises: the maximum RoSCR was unchanged and the expected returns were in the middle of the two other scenarios, as were the other risk measures. 7

Case 1: Life insurers Unhedged scenario using government bonds Leaving non-eur currencies unhedged exposes the asset allocation optimisation to a different set of expected returns, and of course a different regulatory calculation. Under Solvency II, positions in non-eur currencies are subject to a 25% adverse shock versus EUR: each currency is independently shocked up and down against the base currency and the largest scenario loss per currency is included in the SCR. On the other hand, many asset classes provide higher expected return when unhedged against Euro. This is particularly true for EM Equities and EM Debt in Local Currency 9. The objective of these optimisations was to see whether the additional expected returns in local currency could compensate for the additional SCR requirements. 9 One can see a currency hedge as a short carry trade where one pays the local cash and receives the Euro Cash. In the case of Emerging Markets assets, hedging will reduce the local expected return by the differential between the local and Euro cash rates. Figure 3: EUR Unhedged / Liability Matching Portfolio: 100% government bonds Figure 3.a.: Optimised allocation Highest RoSCR Highest Sharpe Ratio 0% 25% 50% 75% 100% Eurozone Equities Global Equities EM Equities Eurozone Govt Bonds Global Govt Bonds Global IG Credit Euro IG Credit Euro HY Credit EM Debt Local CCY Global HY Credit EU Inflation Bonds Cash Listed Real Estate Private Equity Figure 3.b.: Optimised allocations key risk/return characteristics EUR Unhedged / 100% govvies Expected return SCR Duration RoSCR Vol Sharpe Ratio Highest Sharpe Ratio 4.5% 19.1% 2.94 0.24 6.5% 0.55 Highest RoSCR 1.8% 5.8% 3.98 0.31 3.1% 0.25 Source: HSBC Global Asset Management, 31 March 2017, for illustrative purposes only 8

A few things stand out compared to the same optimisation for EUR hedged assets. Firstly, the expected returns for the unhedged portfolios with the highest RoSCR and the highest Sharpe ratio are significantly higher than those for the hedged portfolios (+0.6% and +2.4% respectively). Looking at the asset allocation diagrams for each, the increased expected returns are clearly driven by local currency EM Debt, which has significant allocations in both unhedged portfolios, but very small ones in the hedged portfolios. This is largely explained by the effect of the hedge on the expected return. Secondly, the returns on both the Highest RoSCR and the Highest Sharpe Ratio portfolios in the unhedged optimisations are much higher than their equivalents in the hedged portfolios. But this increase comes at the cost of a higher SCR (5.8% vs 2.9%) in the case of the Highest RoSCR portfolios. Given that a large part of the currency exposure comes from local currency EM debt, this suggests that the treatment of currency risk by Solvency II under the Standard Model is relatively harsh compared to the expected risk-adjusted returns available from this asset class 10. 10 The 25% adverse shock to each currency against EUR means that Solvency II does not take account of any correlations between currencies under the Standard Model. An approved internal model may be able to incorporate correlations based on historical experience that would lower the regulatory capital cost of leaving currency exposure open. 9

Case 1: Life insurers Unhedged scenario using swaps Figure 4: EUR Unhedged / Liability Matching Portfolio: 100% swaps Figure 4.a.: Optimised allocation Highest RoSCR Highest Sharpe Ratio 0% 25% 50% 75% 100% Eurozone Equities Global Equities EM Equities Eurozone Govt Bonds Global Govt Bonds Global IG Credit Euro IG Credit Euro HY Credit EM Debt Local CCY Global HY Credit EU Inflation Bonds Cash Listed Real Estate Private Equity Figure 4.b.: Optimised portfolios: key risk/return characteristics EUR Unhedged / 100% swaps Expected return SCR Duration RoSCR Vol Sharpe Ratio Highest Sharpe Ratio 6.3% 26.3% 4.04 0.24 8.9% 0.59 Highest RoSCR 2.4% 7.9% 5.48 0.31 4.3% 0.33 Source: HSBC Global Asset Management, 31 March 2017, for illustrative purposes only In this optimisation, we can make some of the same observations as we did for the hedged optimisation with 100% swaps. Both Highest Sharpe Ratio and Highest RoSCR get higher expected return than the 100% government bond matching portfolio case. There is one glaring difference with the EUR hedged version: whereas the highest-sharpe-ratio allocation in the hedged optimisation was dominated by global HY Credit, in the unhedged optimisation it is dominated by local currency EM debt. This suggests that the impact on expected returns of hedging to EUR is much larger for local currency EM Debt than it is for Global HY Credit. Global HY Credit has a significant EUR component that does not need to be hedged, as well as a large USD component that has a relatively small currency basis to EUR compared to a lot of the EM currencies. The highest Sharpe ratio portfolio is dominated by Local currency EM debt due to its higher individual Sharpe ratio, leading to a less effective diversification amongst the high return assets when compared to the EUR hedged version. 10

Case 1: Life insurers Key take-aways for life insurance asset allocation Key take-aways for Life Insurance Asset Allocation: Finding the right asset allocation involves tradeoffs between the market risk budget (volatility), the economic risk budget (the Solvency II SCR) and required expected returns. Using the regulatory capital SCR as the starting point prioritises monitoring the SCR expectation over managing the expected return and the resulting volatility of the allocation. While the approach is effective in economising SCR, it is less obvious whether it achieves a more effective diversification. If the available regulatory capital is limited, a life insurer may select the allocation with the highest expected return within that limitation. This will prompt them towards allocations with currency hedges, which decrease the SCR (but produce lower expected returns). If the expected returns are not sufficient, the Life insurer would probably have to allocate additional SCR budget (for example, to allow for investment in unhedged asset classes with higher expected returns). Hedging long-dated liabilities using swaps will have a positive impact on risk-adjusted expected returns. However, it will not necessarily improve the expected return on SCR as the swap would likely come with its Default SCR. Insurers that do not measure their long-dated liabilities on a fair value basis need to be aware of the potential for increased P&L volatility when using swaps. 11

Case 2: Non-life insurers Hedged scenario The challenges of finding an optimal asset allocation under Solvency II are very different for non-life insurers. The duration of liabilities is driven by an entirely distinct set of variables to those of life insurers, such as the time between premium inflows and receipt of claims, the speed at which claims are processed and accepted, and the time between acceptance and settlement of claims. The terms of the insurance also matter. For example, home insurance terms may specify that an amount is paid out upon acceptance of the claim, or they may specify that the insurer takes care of the repair or rebuilding. In the latter case, the time between acceptance and settlement of claims can be quite long and there is an inflation component to the eventual cost of the claim to the insurer. Depending on the book of business, a non-life insurer typically has a duration of liabilities of two to four years. For the analysis in this paper, we make the following assumptions: Liabilities follow a linear amortisation profile, reducing to zero at the end of six years; 10% of liabilities are subject to inflation risk; Funds available to invest are 110% of the present value of liabilities. The linear amortisation profile produces a duration of liabilities of around 2.67. Because of this short duration, there is no need to perform a multi-step process as for life insurers, and we do not need to run optimisations that include interest rate swaps. Figure 5: EUR Hedged Figure 5.a.: Optimised allocations Highest RoSCR Highest Sharpe Ratio 0% 25% 50% 75% 100% Eurozone Equities Global Equities EM Equities Eurozone Govt Bonds Global Govt Bonds Global IG Credit Euro IG Credit Euro HY Credit EM Debt Local CCY Global HY Credit Euro Inflation Bonds Cash Listed Real Estate Private Equity Figure 5.b. Optimised allocations Key risk/return characteristics Non-Life EUR Hedged Expected return SCR Duration RoSCR Vol Sharpe Ratio Highest Sharpe Ratio 3.0% 17.8% 3.99 0.17 8.0% 0.25 Highest RoSCR 1.8% 4.8% 5.32 0.37 4.2% 0.18 Source: HSBC Global Asset Management, 31 March 2017, for illustrative purposes only 12

As per our assumptions, we executed the optimisations with a minimum allocation of 10% to Euro inflation bonds. Given that this asset class has a duration of nearly 8, the minimum allocation already produces a good amount of interest-rate sensitivity to offset that of the liabilities. Nevertheless, the allocation with the highest RoSCR contains almost 50% of Euro linkers 11, as well as a large cash allocation (15%). Significant allocations to EUR HY, Global HY and Local Currency EM debt complete the picture, alongside Investment-Grade Credit. Given that HY credit offers no diversification benefit under Solvency II, this suggests that HY has relatively attractive risk/return properties on a standalone basis, despite the high SCR for sub-investment grade credit. Conversely, allocations to equities are almost nonexistent in the optimisation with the highest RoSCR, but represent around 12% of the portfolio with the best Sharpe ratio. Clearly, there is little room for equities if an insurance investor is on a strict SCR budget. The 12% allocation is a bit lower than the existing allocations of non-life investors in various countries 12. 11 Here again, as there is no investment constraint on government bonds, both the allocations optimised for RoSCR and for Sharpe ratio do not hold government bonds. Instead, they favour Inflation- Linked Bonds due to their more attractive expected return. This extra return of linkers over nominal government bonds is not in line with their usual economic relationship as nominal government bonds are supposed to yield an inflation risk premium in addition to the real interest rate premium. This could be subject to further discussion for investors who need to understand the current expected return context. 12 See the first white paper in this series on liability-focused asset management for insurance companies: Insurance Companies Asset Allocation Drivers Part I: Comparing Countries and Types of Insurers. 13

Case 2: Non-life insurers Unhedged scenario Figure 6: EUR Unhedged Figure 6.a.: Optimised allocations Highest RoSCR Highest Sharpe Ratio 0% 25% 50% 75% 100% Eurozone Equities Global Equities EM Equities Eurozone Govt Bonds Global Govt Bonds Global IG Credit Euro IG Credit Euro HY Credit EM Debt Local CCY Global HY Credit Euro Inflation Bonds Cash Listed Real Estate Private Equity Figure 6.b. Optimised allocations Key risk/return characteristics Non-Life EUR Hedged Expected return SCR Duration RoSCR Vol Sharpe Ratio Highest Sharpe Ratio 5.7% 21.8% 4.40 0.26 8.0% 0.58 Highest RoSCR 2.2% 5.1% 5.85 0.43 4.3% 0.28 Source: HSBC Global Asset Management, 31 March 2017, for illustrative purposes only In the unhedged optimisations, the most obvious change is that the high expected returns of local currency EM debt come through strongly. This is especially the case for the optimisation with the highest Sharpe ratio, which has nearly 60% in the asset class. In the scenario with the highest RoSCR, there is no Investment-Grade Credit at all, which suggests that the relative expected returns of certain other credit asset classes are much better than for investment-grade, even after correcting for the additional regulatory capital for currency risk. Global HY also disappears, whereas EUR HY has a larger allocation than in the hedged optimisation. It would seem that the additional expected return does not outweigh the additional capital required for currency risk. 14

Conclusion Navigating the complexities of optimisations The optimisation framework that we provided in this paper helps to build a step-by-step process for defining an insurer s asset allocation, where both economic conditions and regulatory capital charges are taken into account. Our results highlight how the core business of an insurer could be interpreted in terms of asset allocation constraints. For instance, the decision of a life insurer hedge their long-dated liabilities through physical government bonds or OTC swaps would have an impact on their optimal allocation. Life insurers who hedge their long-dated liabilities using derivatives such as swaps, can invest more of their cash into assets that deliver higher return (obviously not nominal government bonds). The trade-off comes in the form of potentially higher P&L volatility. Insurers who are more worried about lowering their SCR could achieve their optimal return using our framework, but they should be aware of some of the side effects such as the diversification of the resulting allocation. Most obviously, the optimisation algorithm has a tendency to produce skewed portfolios and some of the lesser-held asset classes, such as local currency EM Debt and global HY, are really quite attractive on a relative basis. Whilst an insurance company may want a more diversified portfolio than the optimised allocations shown here, this exercise provides ample food for thought. Finally, as currency hedging is an investment decision on its own, our framework suggests segregating the optimisation work into two parts, where one optimises using the hedged expected returns as well as the unhedged ones. This would help insurers to efficiently assess trade-offs by separately identifying the real opportunities in terms of return and drivers of SCR. In our final paper, we will investigate potential optimisations under the US RBC regulatory requirements. Once again, each insurance company s profile, requirements and preferences is unique. However, as we did in this paper, we will identify some allocations and asset classes of particular interest and explore the differences between L&A and P&C insurers profiles, which might help companies explore new options and investment ideas. 15

Appendices Asset Classes Expected Return Assumptions: Expected Return EUR Unhedged Expected Return EUR Hedged MSCI EMU 5.2% 5.2% MSCI World 4.6% 4.2% MSCI Emerging 9.0% 4.1% Duration GOV EMU Bonds 0.4% 0.4% 7.37 GLOBAL GOV Bonds 0.6% 0.7% 7.75 Global IG 2.4% 1.9% 6.56 EURO IG CREDIT 1.5% 1.5% 5.37 EURO High Yield 2.5% 2.5% 3.43 Emerging Debt Local Curr 6.5% 0.8% 4.81 Global High Yield 3.3% 2.7% 4.00 Inflation Linked Bonds EMU 2.0% 2.0% 8.08 Euro Cash 1.0% 1.0% REITs 5.3% 5.7% Private Equity 6.4% 5.7% Source: HSBC Global Asset Management 31 March 2017, for illustrative purposes only References: Hoekema, Insurance Companies Asset Allocation Drivers Part I: Comparing Countries and Types of Insurers. HSBC Global Asset Management, January 2017 Hoekema et al, Optimal Optimisation under Solvency II: Frameworks for Strategic and Tactical Allocations. HSBC Global Asset Management, February 2017 16

Authors Andries Hoekema Global Head, Insurance Segment HSBC Global Asset Management Farah Bouzida Financial Engineer, France HSBC Global Asset Management Andries Hoekema has been Global Head of Insurance Segment at HSBC Global Asset Management since the beginning of 2016. Andries has been with HSBC Group in a variety of roles since 2006, predominantly in Global Markets. Having started in Structured Credit Product Marketing, during the past five years his roles have included cross-asset Strategic Solutions coverage of institutional clients in the Netherlands and latterly Institutional Equity Derivatives coverage of insurance companies and pension funds in the Netherlands and Nordic countries. Prior to joining HSBC, Andries spent 9 years at Rabobank International, predominantly in the structuring and marketing of Structured Credit products. He has a Ph.D in Business Engineering from the University of Twente in the Netherlands. Farah Bouzida is a Financial Engineer within the Multi Asset Research team after starting as a Portfolio Manager within the Risk Managed Solutions & Structured Products team. Farah has been working in the industry since 1999 and, prior to joining HSBC in 2007, she worked in the Middle Office OTC & Complex Product team and then as a Portfolio Manager Structured Investment Solutions at AXA Investment Manager. Farah graduated with a degree in Applied Mathematics with a specialisation in Statistics and Probabilities from the Université Mohammed V, Rabat (Maroc), and holds a Postgraduate degree in Applied Mathematics with a specialisation in Finance from the Université Paris Dauphine (France) and the engineering school ENSAE (France). 17

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