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Insurance Strategy Convertible bonds: a Solvency II silver bullet? July 2017

Investors are looking for risk-efficient and capital-efficient ways to access the return potential of equities. No one wants to be exposed to 2008-style losses, but the price of protection is penal. We believe convertible bonds are a compelling proposition for three reasons. Firstly, they allow investors to gain equity exposure with a far lower Solvency II capital requirement than an equivalent direct equity position in . Secondly, they provide a useful element of downside protection. Thirdly, they have a favourably asymmetric risk profile, offering the ability to capture more equity upside than downside. Below, we explain how and why.

Why equities? Companies with investment products containing guarantees, Conversely, if the price of the issuer’s equity is much higher often in excess of 3%, have been struggling to meet these than the conversion price (i.e. the intrinsic value of the option is minimum levels of return with investment grade corporate very high), the convertible will behave like the underlying bonds. The on the iBoxx Euro Corporates A 1–3 index has equity. In between these two regimes the convertible bond’s declined from over 7% in 2009 to below 50bps at the beginning price is ‘floored’ by the market of the of 2016, illustrating the magnitude of the challenge faced by payments of the bond but, at the same time, able to rise if the insurers looking for fixed rate cash flows with which to meet issuer’s equity price rises. This gives the convertible bond the liabilities. Some have increased their allocation to equity and ability to capture more equity price upside than downside. This other risk assets with higher potential returns, but these expose positive convexity is a highly-prized attribute for investors. In one to more risk and of course higher Solvency II market risk our example above the cost of purchasing the exposure to equity capital charges: at between 39% and 49% (plus a symmetric returns and the positive convexity characteristics is roughly adjustment) in the case of equities, the risk adjusted return on 5.5%. A similarly dated and similarly out of the money call option capital tends to undermine the case for investing. on Vodafone would cost 11% in the open market. Thus, the option is being accessed cheaply. Why convertible bonds? Positive convexity and the price behaviour of convertible A potential solution to the risk and capital challenge of investing bonds in equities is offered by convertible bonds i.e. bonds that have a fixed like a bond, but which also have an investor- option to convert the holding into the equity of the issuer at a fixed price. Price of the convertible bond A convertible bond is essentially the combination of an ordinary bond and a long-dated call option on the stock of the issuer. A straightforward would be sensitive to Option Option upside Unlimited rates and credit spreads, and this would explain its trading behaviour. A convertible bond is also sensitive to interest rates and credit spreads, but in addition sensitive to the equity price. Bond Price Convertible Value of Value of As an example, Vodafone* have issued a convertible bond bond oor bond oor yielding 58bps, maturing in November 2020, with an option to convert the into Vodafone stock at a price of £2.897. Vodafone stock is currently trading at around £2.17. As a Current equity price downside reduces Bond oor conventional Vodafone corporate bond of similar maturity would Convertible bond like Convertible hybrid Convertible equity like yield roughly 80bps, the 22bps of lower yield available from the Equity Price convertible can be thought of as the price paid for the embedded equity call option. Source: Schroders, for illustrative purposes only.

A convertible bond’s trading behaviour can be split into three The positive convexity displayed by convertible bonds gives different regimes. If the price of the issuer’s equity is far them important risk and return characteristics. For example, lower than the conversion price (i.e. the intrinsic value of the the investor’s exposure to the of equities is reduced by conversion option is low because it is not likely to be exercised) the protection offered by the ‘bond floor’, as par is contractually then the convertible bond will tend to trade like a normal returned at maturity, and the anaemic returns offered by corporate bond of the issuer. corporate bonds can be improved through participation in positive equity market performance. We illustrate these advantages in the charts that follow.

*For illustrative purpose only. It does not represent invest in or divest of the above- Insurance Strategy Convertible Bonds 1 mentioned securities. In the chart below, we plot an actively managed global The capital treatment of convertible bonds under Solvency II convertible against a global equity index to illustrate Having demonstrated the risk management and investment the downside risk mitigation that a convertible bond offers. advantages of convertibles we turn to capital treatment. As convertible bonds are a hybrid equity / bond instrument their Actively managed convertible bond fund vs. an equity index SCR charge is, unsurprisingly, a combination of equity charge, rice credit spread charge and interest rate charge. If we assume that 160.00 exposures are hedged to base , negating

140.00 the FX charge, and that the duration of the convertible matches a liability removing the interest rate charge, the SCR stems from 120.00 two major risk factors: equity and credit. We analyse 100.00 these below. 80.00

60.00 The chart below shows the results of our capital analysis of a specifi c convertible bond issued by British Land, to illustrate 40.00 how they are treated. The Y-axis is the SCR charge. The X-axis is the percentage change in the price of British Land stock. Sep08 Sep09 Sep10 Sep11 Sep12 Sep13 Sep14 Sep15 Mar08 Mar09 Mar10 Mar11 Mar12 Mar13 Mar14 Mar15 Schroder ISF lobal Convertible Bond MSCI ACWI Equity Index SCR capital requirements vs. equity price

Source: Schroders (18/02/2016). SCR Capital Requirement 7,000,000 As can be seen, in 2008/2009 the maximum drawdown 6,000,000 experienced by equities was of just over 50%, whilst the convertible bond fund had a drawdown of only 25%. A similar 5,000,000 pattern is seen in the other two cases highlighted in the fi gure 4,000,000 where drawdowns were 20% vs 12% and 11% vs 7% respectively. 3,000,000 In the chart below, we show a direct volatility comparison 2,000,000 between an equity market and a convertible bond index, 1,000,000 evidencing clearly the lower historical volatility of the latter 0 60% 40% 20% 0% 20% 40% 60% which derives from its hybrid equity/bond dynamics. Equity rice Shift Convertible Bond SCR Equivalent Equity SCR Realised volatility in monthly returns

Volatility Source: Schroders (based on British Land Co 1.5% September 2017, £11.4m value) 70% (18/02/2016). 60%

50% The results of the analysis are most easily understood by considering two different points on the graph. At the current 40% stock price (0% price shift on the X-axis) the convertible bond has 30% an equity delta of around 52%. The equity exposure embedded 20% in the bond affects its SCR charge which is just over £1.2m. The 10% convertible’s SCR charge is denoted by the blue line. The orange 0% line shows the SCR charge if the investor obtains the equivalent Apr/06 Apr/07 Apr/08 Apr/09 Apr/10 Apr/11 Apr/12 Apr/13 Apr/14 Apr/15 equity exposure to that embedded in the convertible bond by BS lobal Convertible Index MSCI World purchasing the underlying stock. In this case just over £2.3m. If the stock price appreciates by 20%, then the delta of the bond Source: Schroders (18/02/2016). grows to 0.8. The equity exposure of the bond increases and so does the SCR charge, to roughly £2.5m. Obtaining the same Risk management benefits aside, we should also look at the equity exposure by purchasing the issuer’s stock would incur a ability of convertible bonds to capture equity market upside, charge of over £4m. as the possibility of extra return is a key attraction. The charts below show average historical returns of an actively managed The convertible bond’s SCR capital charge is lower for all values convertible bond fund, and measure upside and downside of the underlying equity other than when the stock price falls equity market capture. As can be seen, the fund has on average so much that the equity exposure of the convertible bond is participated in over 80% of the upside in the MSCI World All negligible. In this scenario, the credit spread exposure of the Country Index over all rolling 6 year periods. On the downside, convertible bond, and associated SCR charge, dominates. In all the fund has signifi cantly outperformed equities, avoiding other situations the equity capital charge dominates. This charge any downside capture in any two, three, or four year rolling is far lower for convertible bonds than it is for equity because investment period, and capturing just 50% over 1 year the convertible bond’s ‘fl oor’ acts to protect its value when the rolling periods. equity stress is applied.

Upside and downside capture of convertible bonds vs equities

20% 5%

15% 0%

10% 5%

5% 10%

0% 15% Rolling 1 Rolling 2 Rolling 3 Rolling 4 Rolling 5 Rolling 6 Rolling 1 Rolling 2 Rolling 3 Rolling 4 Rolling 5 Rolling 6 Schroders Convertibles Bond Fund MSCI AC World Index

Source: Schroders (18/02/2016).

Insurance Strategy Convertible Bonds 2 Conclusion An actively managed convertible bond fund has a number of compelling features to offer an insurance company which we list below. – Potential upside from exposure to equities, to generate additional return – Sizeable reduction in the Solvency II capital requirement compared to an equivalent position in equities – Positive convexity, with the ability to capture more equity market upside than downside, and the comfort of downside protection when equity markets suffer a sharp fall – Downside protection provided by a contractual repayment of par at a specific maturity date – Access to a cheap call option on the equity market.

United Kingdom David Thompson +44 20 7658 6317 [email protected]

United States Andrew Terry +1 212 641 3891 [email protected]

Asia Pacific Chris Howells +852 2843 7717 [email protected]

Schroder Investment Management Limited 31 Gresham Street, London EC2V 7QA, United Kingdom

schroders.com/iam

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