Managing the risks of energy efficiency insurances in a portfolio context: An actuarial diversification approach
Introduction
Total energy demand is steadily increasing while anthropogenic climate change already induces severe consequences, especially for developing countries (Bathiany, Dakos, Scheffer, & Lenton, 2018). Ambitious international climate goals contribute to the rising worldwide interest in energy efficiency (EE) investments. However, various barriers associated with EE investments lead to a well-researched underinvestment situation dubbed “energy efficiency gap” (Gillingham & Palmer, 2014; Jaffe & Stavins, 1994). Risk transfer solutions may overcome these barriers especially prevalent in the private sector by guaranteeing a certain project performance (Häckel, Pfosser, & Tränkler, 2017; Töppel & Tränkler, 2019). While in the business sector Energy Service Companies already offer risk transfer contracts and Energy Efficiency Insurances (EEI) slowly gain a foothold (Hartford Steam Boiler, 2015; KlimaProtect, 2018; Mills, 2003a; Mills, Kromer, Weiss, & Mathew, 2006), so far research and real-world applications for the private sector from the viewpoint of insurers is scarce. Thus, the main objective of this paper is to quantitatively analyze emerging diversification effects when adding novel EEIs to an existing insurance portfolio. EEIs guarantee a certain level of energy bill savings or maximum costs in return for a premium payment by the insured entity and could be an interesting insurance business opportunity for several reasons (Micale & Deason, 2014; Mills, 2003a): First, research on decision-making has shown that individual decision-makers should be very receptive to insurance solutions due to their individual risk preferences (Häckel et al., 2017; Shogren & Taylor, 2008; Stern, 2011). Thus, we exemplarily focus on EEIs for private residential building retrofitting. Second, an enormous retrofitting potential and promising market situation prevails in Europe. For example, the EE targets of the Paris climate agreement imply that the retrofitting rate of the residential building stock for the case of Germany needs to double from 1% to 2% (Achtnicht & Madlener, 2014). Third, the market potential is additionally supported by an increasing green consciousness of consumers (Achtnicht & Madlener, 2014). Consequently, green financial products such as green bonds enjoy increasing popularity among investors. Fourth, EE investments offer direct and indirect loss-prevention benefits for insurers. Direct loss-prevention is associated with auxiliary co-benefits that reduce insurance claims (Mills, 2003b; Pye & McKane, 2000). For instance, Mills (2003b) finds 78 examples that offer risk-management benefits such as fire-safety of high-efficiency torchiere light fixtures. Indirect loss-prevention benefits are realized by the reduction of climate change and its adverse effects (Mills, 2007; Parry, 1993; Tucker, 1997). When EE investments reduce global warming, insurers may be faced with lower economic costs of natural disasters associated with climate change (Botzen, van den Bergh, & Bouwer, 2010; Kousky, 2014; Mills, 2005).
In this paper, we examine whether arising diversification effects constitute an additional benefit of EEIs from the viewpoint of insurers. When insurance claims of EEIs and those of other insurance types are not perfectly positively correlated, the overall risk of the portfolio can be reduced. To analyze diversification effects of EEIs, we stepwise evaluate portfolio risk reduction on three levels based on the regulatory framework of Solvency II: First, we look at the EEI portfolio level and investigate the diversification effects of combining different EEIs. Second, we analyze the impact of adding EEIs to existing insurance portfolios such as property insurances. Third, we examine the risk reduction of hedging with financial derivatives when holding a portfolio consisting of EEIs and property insurances. Most of the insurance literature on diversification effects is based on empirical evidence. As EEIs define a new product category historical data is unavailable. Thus, we use real-world data on the underlying risk factors to forecast insurance claims and calculate premiums based on a risk-neutral pricing approach.
Thereby, to the best of our knowledge, we are the first to quantitatively apply concepts of diversification to evaluate the advantageousness of EEIs from a portfolio perspective. Our analysis has several interesting implications: First, by introducing EEIs with different contractually defined risk events, risk exposure may already be reduced within this novel insurance class. Thus, insurers should consider both policy types. Second, meaningful diversification effects with other insurance products could be a driver for a wide market introduction of EEIs in the private sector. In turn, this could significantly accelerate EE investments (Micale & Deason, 2014). Third, the introduction of EEIs potentially reduces the need for costly financial hedging instruments such as weather derivatives. Because EEIs are highly dependent on outdoor temperature, they could be a natural hedge for insurance products exhibiting opposite risk exposures.
The remainder of the paper is structured as follows: Section 2 elaborates on two different EEIs and elements of portfolio analysis based on the relevant literature. Section 3 introduces our asset and portfolio modeling as well as the optimization approach. The empirical data sets and model selections for the risk factors are presented in Section 4. Subsequently, the results of the simulated diversification effects are presented and discussed in Section 5. Practical and managerial implications are provided in Section 6. The final Section 7 summarizes and concludes.
Section snippets
Diversification in the energy efficiency insurance sector
Generally, insurers mitigate risk in exchange for an insurance premium payment by spreading it across a portfolio of many insured entities. If the contractually defined risk event occurs, the insured entity receives a predefined reimbursement (Tol, 1998). In the case of EEIs the risk event refers to a negative deviation of the performance of an EE investment such as energetic retrofitting. Thus, the insurer bears the project risks and needs to implement adequate risk management measures.
Modeling of portfolio assets
This section provides the modeling of the assets introduced above. Cash flow formulas for each product (ESI, EEEI, car insurances, and weather derivatives) dependent on underlying stochastic variables are presented from the perspective of the insurer. Expected cash flows are used to derive actuarial fair premiums. In our study, we adapt this concept by applying risk-neutral contract pricing. Since insurers are commonly well diversified by a large number of different financial assets and
Data and model selection
In the following, based on the real-world data presented in Section 4.1, suitable models for the risk factors are selected in Section 4.2. The resulting fitting parameters are also elaborated in Section 4.2 as input for the empirical portfolio analysis in Section 5.
Empirical results
In this section, we quantify the risk and diversification potential of the EEIs using the modeling approaches and data sets introduced previously. We stepwise simulate portfolios as depicted in Fig. 1, calculate relevant parameters such as fair premiums, and quantify inherent residual risks of respective portfolios based on standard deviation, negative semi-variance (σ−), and Value at Risk (VaR0.99). Because all three risk measures lead to the same conclusions, in the following we focus on the
Practical and managerial implications
The conducted empirical analysis in Section 5 has several practical implications. The developed approach can be used as initial basis for the market introduction of EEIs and offers transparency with regard to diversification effects and the resulting risk picture. Since the results are based on real-world data, similar results can be expected in practical applications. The average fair ESI premium per customer that guarantees expected energy bill savings is about 140€ per year. Insurers can use
Conclusion
Insurance solutions may foster energy efficiency (EE) investments by transferring the risk of energy bill savings to insurers. But while there exist compelling reasons for insurers to get involved into EE for the private sector, research and real-world applications of Energy Efficiency Insurances (EEI) are scarce. To the best of our knowledge, we are one of the first to quantitatively analyze EEIs and more specifically resulting portfolio effects. We analyzed EEI portfolio diversification
Declarations of interest
None.
Acknowledgements
Grateful acknowledgement is due to the Ministry of the Environment, Climate Protection and the Energy Sector Baden-Wuerttemberg for their support of the Trafo BW project “c.HANGE (BWT17004)” and the Bavarian Ministry of Economic Affairs and Media, Energy and Technology for their support of the project BigDAPESI (IUK-1606-0002, IUK491/001) making this paper possible.
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