Longevity Derivatives

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Longevity Derivatives Illustrating a New Approach to Investing Zac Roberts

Contents 1. Risk Premia: A New Approach to Investing 2. Longevity as an Asset Class 3. Managing Longevity Risk 4. Discussion 2

X is a great diversifier for my portfolio 3 Source: International keynote address: The role of Alternatives in asset allocation strategies, Erik Valtonen, Chief Investment Officer, AP3, Sweden, Terrapinn Asset Allocation Summit, February 2009

X is a good diversifier for my portfolio 4 Source: International keynote address: The role of Alternatives in asset allocation strategies, Erik Valtonen, Chief Investment Officer, AP3, Sweden, Terrapinn Asset Allocation Summit, February 2009

Oh my! 5 Source: International keynote address: The role of Alternatives in asset allocation strategies, Erik Valtonen, Chief Investment Officer, AP3, Sweden, Terrapinn Asset Allocation Summit, February 2009

It s all gone pear-shaped 6 Source: International keynote address: The role of Alternatives in asset allocation strategies, Erik Valtonen, Chief Investment Officer, AP3, Sweden, Terrapinn Asset Allocation Summit, February 2009

Traditional Alternative Assets Private Equity Infrastructure Hedge Funds Private Equity Infrastructure Hedge Funds Why have my alternative assets not performed as expected? 7

Traditional Alternative Assets Aha! My alternative assets have performed exactly as expected. Private Equity Infrastructure Hedge Funds Equity Risk Premium Debt Risk Premium Liquidity Risk Premium Property Risk Premium Funding Risk Premium 8 Interest Rate Term Risk Premium

Understanding Risk Premia is Key A risk premium is payment received over and above the risk-free rate as compensation for putting capital at risk Asset classes are aggregates of several risk premia and recent market turbulence has highlighted that the mainstream asset classes of equities, credit and property are all fundamentally linked to the same risk factor corporate earnings When the investment universe is viewed as a selection of premia, it forces investors to recognise that risk has little to do with when times are normal but everything to do with when something unusual and out of the ordinary occurs Over the next 10 years there will be an increased focus on risk premia and finding more cost-effective ways of accessing both traditional and alternative premia 9 Source: Back to the basics risk premia and alternative beta, Simon O Grady, Global Premia, Tyndall Investment Management, January 2009

Benefits of Risk Premia Focus When an investor focuses on risk premia as the portfolio building blocks it can deliver a number of benefits: 1. Makes investors highly risk aware and prompts them to first ask the question: where is the risk coming from? 2. Makes investors explicitly examine the premium they are paid for each particular risk and whether that premium is high enough. 3. Highlights the fact that risks are like insurance premia and are fat tailed. 4. Provides a framework in which to evaluate the performance of all investments and identify other valuable non-traditional risk premia. Main role for a fund manager should be to understand the risk premia available and adjust the fund s exposure to each risk premia over time 10 Source: Back to the basics risk premia and alternative beta, Simon O Grady, Global Premia, Tyndall Investment Management, January 2009

Demystifying the Market Timing Objection: 1 I thought that Sticking to a Long-Term Strategic Asset Allocation was the only way to invest 11 So, are you saying that I should hold basically the same proportion of my assets in fixed income regardless of whether interest rates are 2% or 12%? Also, are you saying that I should hold basically the same proportion of my assets in equities regardless of whether they are trading at a P/E ratio of 25 or 10? If equity P/E ratios mean-revert and the long-term equity risk premium is constant, surely the medium term expectation must be different at such vastly different P/E ratios What about considering credit as an alternative way of accessing the equity risk premium?

Demystifying the Market Timing Objection: 2 Maybe you re right, but surely it is too difficult to consistently add value over the long-term through market timing 12 Active Equity Management: Adjusting your allocation between different equities based on an assessment of the relative value of the equities available Active Risk Premia Management: Adjusting your allocation between different risk premia based on an assessment of the relative value of the risk premia available The Same Thing: But there is much more scope to add value with active risk premia management as the differences between risk/return of the risk premia are greater

A New Approach to Investing 13 1. Understand your liabilities or investment objective and your risk appetite 2. Understand the range of risk premia available 3. Determine your desired mix of these risk premia, looking at both the asset and the liability side of your balance sheet 4. Determine the best way of gaining access to each risk premia 5. Investigate whether any form of down-side protection can be incorporated economically, considering both your asset and your liability risks 6. Review and adjust your mix of risk premia frequently

Benefits of the New Approach Maybe we can avoid the trillion $ superannuation mis-selling scandal 14 1. Asset class allocation decisions would be made by those most capable of making them a. Presently, investment managers focus on delivering performance within an asset class b. The selection of asset classes is left to individuals, sometimes with help from a financial planner c. Where can the most value be added? d. Who is most qualified to make this decision? 2. Huge opportunity for the funds management industry to deliver what they believe investors want a. Many balanced funds say they target inflation + x% over the medium term but do nothing of the sort

This is Happening!!! A few weeks ago I was talking to a large super fund Return objective: CPI + x% (over y year rolling periods) No specific risk tolerance I asked about their preferred investment approach: Achieve returns consistent with a balanced asset mix (and roughly consistent with your peers) and hope that this is greater than CPI + x% Achieve returns of CPI + x% with the lowest possible risk Response: I think you have answered your own question in a way. A sensible investor would be looking to achieve returns of CPI + x% at the lowest risk. An investor that achieves returns roughly consistent with its peers while trying to achieve CPI + x% as you say is the approach taken by most Super Funds (including ours). One approach is where we should be heading, the other is where we are. 15

Contents 1. Risk Premia: A New Approach to Investing 2. Longevity as an Asset Class 3. Managing Longevity Risk 4. Discussion 16

Universe of Insurance-Linked Securities Longevity-linked products are part of the larger Insurance-Linked Securities (ILS) sector that has seen increasing volumes and diversity in the types of risks being accepted by a wider range of capital markets investors General Insurance Life Insurance Reinsuranc e Sidecars Industrial Accident Secondary Life Policies Catastrophe Bonds Industry Loss Warranties Credit Receivables Motor Quota Share Catastrophi c Mortality Longevity Index Notes Longevity Index Swaps Life Embedded Value Insurance Receivable s Regulation XXX-AXXX 17 <3 yrs 5 yrs 7-10 yrs 10-15 yrs 15-30 yrs >30 yrs EXPECTED AVERAGE INVESTMENT TERM

Drivers of Returns for Longevity-Linked Transactions Low EXPECTED RETURN High Catastrophic Mortality Securitisation, e.g. Embedded Value Life Insurance Policy Based Investments Capital savings achieved by the reinsurer that issues the bond Funding provided to the insurer from the fact that these instruments monetise an insurer s intangible assets Economic and information asymmetry created by low surrender values offered by life insurers on life insurance policies A life office would typically offer the insured around 4 per cent of face value if they chose to surrender the policy, whereas buyers in the second hand market are willing to pay around 30 per cent 18 Source: Till death do us part, Andrew Walters, Financial Adviser, 22/1/09

Longevity Risk Premium for Policy Based Investments Surrender policy to insurer Insurance Company Policy Holder Policy Holder Large life policy Over time On-sell policy to investor Investor becomes the owner and beneficiary of the life insurance policy Investor pays an upfront amount to purchase a policy Investor pays regular premiums on the policy Investor receives policy proceeds upon death of the insured IRR impacted by Size of initial purchase price Size of ongoing premiums Timing and size of death benefit Policy Purchase Death benefit received upon death of the individual insured Investor Initial Purchase Price Ongoing Premium Payments 19

Longevity Investments: Truly Uncorrelated 250% 200% 150% 100% 50% Historical Performance S&P 500 Gold Lehman Brothers Global Aggregate - Corporates (OAS) Life Expectancy of US males and females aged 75 yrs the return is known and is not dependent on the investment strategy of the life office* 01/01/2001 01/07/2001 01/01/2002 01/07/2002 01/01/2003 01/07/2003 01/01/2004 01/07/2004 01/01/2005 01/07/2005 01/01/2006 01/07/2006 01/01/2007 When performing actuarial analysis, it is conventionally assumed that there is zero correlation between mortality rates and the capital markets. This is generally supported by historic data since mortality rates have steadily and fairly smoothly decreased, whilst equity markets have behaved erratically in the short term and grown exponentially in the long-term and interest rates have tended to revert to the mean. There seems little prospect of identifying a meaningful connection between mortality [ ] and financial risk drivers. Source: Deloitte, May 2005 20 * Source: Till death do us part, Andrew Walters, Financial Adviser, 22/1/09

Longevity Index Swap: Overview Cash Flow Timeline for Longevity Index Swap Payments to Investor Reference Notional Amounts payable on the death of a reference individual Initial Payment Amount Payments from Investor Scheduled Payment Amounts payable as long as the reference individual is still alive Cash flows are linked to the mortality performance of a pool of equally weighted lives Initial Investor pays amount equivalent to purchasing policies on the lives Ongoing Investor pays amount equivalent to a premium for all lives still alive Investor receives amount equivalent to a death benefit for lives that passed away during the quarter 21

Longevity Index Swap: Advantages Preserves the economics of purchasing policies Removes non-longevity related risks and costs Improves investment efficiency Retain Longevity Risk Premium Reduced volatility of return through equal exposure to a large number of lives without the additional risks and costs Uncorrelated Asset Documentation Risk Legal Risk Portfolio Lumpiness High Expected Returns Regulatory Concerns Ramp-Up Delays and Risks Administrative Burden Uncertain Maturity Tax Risk Insurable Interest Low Volatility Insufficient Number of Lives High Brokering Fees Carrier Credit Risk 22

Investing in a Longevity Fund Conventional Longevity Fund Bespoke Longevity Fund Advantages Investors are familiar with owning units Removes purchasing and admin effort Can gain exposure to a large number of lives for a small investment Investors are familiar with owning units Removes purchasing and admin effort Receive more of the asset class return Investor is in control, and is not exposed to the behaviour of other investors Disadvantages High Fees, e.g. 2% pa + performance fee Fund manager risk, e.g. premium financing Usual problems of illiquid assets in a liquid fund, e.g. run on fund, forced asset fire-sale Significant investment required to gain exposure to enough lives to limit volatility No manager acting in the investor s interests, but an actuarial consultancy can address this by assisting in policy pricing and purchase 23 Investor Advice Actuarial Consultancy Purchase Costs and Cash as Required Bespoke Longevity Fund Units Policy 3 Policy 1 Monitoring Policy 4 Policy 2 Policy

Economics of a Longevity Investment 28% 24% 20% IRR Sensitivity to LE Shift 3 standard deviations 500 individuals 116 month Life Expectancy 1 standard dev. = 2.4 months (approx 25 months for 5 lives) Investor IRR 16% 12% 12% expected IRR (USD) 8% 4% 0% -24-21 -18-15 -12-9 -6-3 0 3 6 9 12 15 18 21 24 Life Expectancy Stress (months) If structured correctly, only risk is a systematic under-estimation of life expectancy This is the longevity risk, which carries the longevity risk premium 24 Pricing is better now, with mid-point giving a longevity risk premium of approx. 10%

Longevity Investments: Unique Source of Diversification High Expected Return, Low Volatility and Low Correlation Non-correlated asset High return potential Low volatility Liquidity Longevity Limited Equities Government Bonds Credit Commodities Emerging Markets Hedge Funds Real Estate? Limited Limited Limited Limited 25

Contents 1. Risk Premia: A New Approach to Investing 2. Longevity as an Asset Class 3. Managing Longevity Risk 4. Discussion 26

Hedging Longevity Risk: Case Study Life Insurer Up-front Single Premium and /or Ongoing Premiums Annuity Benefits Swap Counterparty Life Insurer enters into a longevity swap Life Insurer receives actual life contingent annuity benefits Life Insurer pays an up-front reinsurance premium and/or ongoing premiums Collateral arrangements manage counterparty credit risk Key benefit over traditional reinsurance is that the life insurer retains their assets Though started by banks, reinsurers can probably offer this at a better price 27

Improving Return on Longevity Risk: Case Study Australian institution with longevity risk (Life Insurer, DB Super, Government) Willing to retain some longevity risk if it provides a good expected return on capital/risk Wants to reduce capital required and/or increase the expected return on capital Execute a longevity swap to remove Australian longevity risk Execute a longevity swap to introduce policy based longevity risk 28 Set swap size such that total capital required does not change Expected return on capital will increase due to economic arbitrage inherent in policy based longevity instruments Set swap size such that total expected return does not change Capital will decrease as the policy based longevity risk will require less risk to deliver the same expected return

Contents 1. Risk Premia: A New Approach to Investing 2. Longevity as an Asset Class 3. Managing Longevity Risk 4. Discussion 29 Zac Roberts +61 2 8258 2838 zac.roberts@db.com