We study an optimal investment problem under a joint limited expected relative loss and portfolio insurance constraint with a general random benchmark. By making use of a static Lagrangian method in a complete market setting, the optimal wealth and investment strategy can be fully determined along with the existence and uniqueness of the Lagrangian multipliers. Our numerical demonstration for various commonly used random benchmarks shows a trade-off between the portfolio outperformance and underperformance relative to the benchmark, which may not be captured by the widely used Omega ratio and its utility-transformed version, reflecting the impact of the benchmarking loss constraint. Furthermore, we develop a new portfolio performance measurement indicator that incorporates the agent’s utility loss aversion relative to the benchmark via solving an equivalent optimal asset allocation problem with a benchmark-reference-based preference. We show that the expected utility performance is well depicted by looking at this new portfolio performance ratio, suggesting a more suitable portfolio performance measurement under a limited loss constraint relative to a possibly random benchmark.

We study whether pension fund board governance relates to asset allocation. Pension funds with well-governed boards have greater international diversification, lower cash holdings, and, when pension funds are small, invest more in risky assets. In particular, pension fund boards that establish comprehensive investment policies invest more in equities, in foreign assets, and hold less cash. We argue that a comprehensive investment policy is likely to serve as a proxy for the financial expertise available to the fund while it provides the set up to facilitate decision making. Finally, we further show that the presence of external financial experts is also associated with lower cash holdings.

Defined benefit pension funds invest in illiquid asset classes for return, diversification or liability hedging reasons. So far, little is known about factors influencing how much they invest in illiquid assets. We conjecture that liquidity and capital requirements are pivotal in this decision. Short-term pension payments and margining on derivative contracts generate liquidity requirements, while regulations impose capital requirements. Consistent with our model we empirically find that these requirements create a hump-shaped impact of liability duration on the fraction of risky assets invested in illiquid assets. Further, we report that pension fund size, type, and funding ratio impact illiquid assets allocations.

We examine the investment performance of Chilean pension funds during their multi-fund period (2003–17). Using tradable asset class benchmarks, we extend Sharpe's (1992) return-based style analysis by explicitly considering regulatory restrictions and currency hedging. We find that despite the significant differences between pension fund manager returns, they are statistically similar to our style benchmarks for all fund types. Furthermore, accounting for currency hedging improves the accuracy of the replicating portfolios and the selection return estimates. Our results have policy implications for investment regulation of pension systems with similar characteristics to the Chilean one.

Using regulatory data free of self-reporting bias for 2007–16, we decompose investment returns of 455 Dutch pension funds according to their key investment decisions, i.e., asset allocation, market timing and security selection. In extension to existing papers, we also assess the impact of benchmark selection. Over time, asset allocation explains 39% of the variation of returns, whereas benchmark selection, timing and selection explain 11%, 9% and 16%, respectively. Across pension funds, asset allocation explains on average only 19% of the variation in pension fund returns. Benchmark selection dominates this by explaining 33% of cross-sectional returns. We relate the choice for a specific benchmark to investment, risk and style preferences.

Asset allocation with a derivative security is studied in a hidden, Markovian regime-switching, economy using filtering theory and the martingale approach. A generalized delta-hedged ratio and a generalized elasticity of an option are introduced to accommodate the presence of the information state process and the derivative security. Malliavin calculus is applied to derive a solution for a general utility function which includes an exponential utility, a power utility, and a logarithmic utility. A compact solution is obtained for a logarithmic utility. Some economic implications of the solutions are discussed.

We study the asset allocation decision of a life insurance company’s general account with respect to the possibility of large negative economic shocks and examine how this account is affected by policyholder investment decisions in the company’s separate account. This is accomplished using a performance metric that incorporates downside risk measured using univariate and multivariate extreme value distributions. Because of its well-known price volatility, diversification attributes, and significant weight in the combined general and separate accounts, our primary focus is the company’s equity investments. Although industry asset allocations have varied over the past two decades, we find that the actual allocations to equity in the general account are close to the allocation percentages suggested by our extreme value metrics and both are far below the maximum values indicated by the relevant regulatory bodies.

This paper provides an optimal asset allocation strategy to enhance risk management performance in the face of a financial crisis; this strategy entails constructing a good asset model – a multivariate jump-diffusion (MJD) model which includes idiosyncratic and systematic jumps simultaneously – and choosing suitable asset allocations and objective functions for fund management. This study also provides the dependence structure for the MJD model. The empirical implementation demonstrates that the proposed MJD model provides more detailed information about the financial crisis, allowing fund managers to determine an appropriate asset allocation strategy that enhances investment performance during the crisis.

This paper analyzes the performance of the Italian defined contribution guaranteed pension funds during the period 2008–2012 through a panel analysis. This paper is organized around three main research questions. The first one is focused on the probability of a guarantee payment in a given year. The second one deals with the determinants of the gap between actual return and minimum guaranteed yield on a yearly basis. The third one focuses on the factors affecting the weight of administrative and management costs and their relationship with the fund dimension.

The funding position of a defined benefit pension plan is often closely linked to the performance of the sponsoring company’s business. For example, a plan sponsor whose financial health is dependent on high oil prices may struggle during periods of oil price weakness. If the pension plan’s assets perform poorly at this time, the ability of the sponsor to address any funding requirement could be restricted precisely when the need for funding is heightened. In this paper, we propose an approach to dealing with joint plan and sponsor risk that can provide protection against extreme adverse events for the sponsor. In particular, adopt a strategy of minimising a portfolio’s expected losses in the event of an assumed drop of x% in the oil price. Our methodology relies on an asset allocation framework that takes into account the impact of serial correlation in asset returns, as well as the negative skewness and leptokurtosis resulting from the non-normal shape of marginal distributions of historical asset returns. We also make use of copulas to measure the dependence between asset class returns.

State and local pension plans are increasingly moving from the traditional defined benefit (DB) model to non-DB models that generally allow for participant-directed investment. This shift has important implications for the management of the more than US$3 trillion in assets held to finance public employee retirement benefits. To investigate these implications, we introduce new data from a nationwide survey of public DB and non-DB plans and a unique data set on thousands of individual investors in the state of Florida's defined contribution (DC) plan. Using these sources, we explore how participant involvement in the public sector affects the distribution of asset class allocations, management fees, investment outcomes, and portfolio rebalancing at both the individual and aggregate levels. We found that there is little difference between the DB and non-DB plans in terms of asset mix, returns, and fees, except that DB plan have greater access and allocations to alternative investments. We also found that while the average individual DC plan participant allocated their asset similarly to the DB plan, black females and older white males, on average, invested on opposite tails of the risk spectrum.

The question how to optimize consumption and portfolio choice over the life cycle has been widely discussed in the literature so far. In this paper we concentrate on a retiree's optimal consumption and portfolio selection over his remaining years of life. We apply the logistic model of mortality thus modeling the empirically observed increase of mortality during the retirement period. The optimal consumption strategy and portfolio choice are established by reducing the Hamilton-Jacobi-Bellmann equation to the explicit solution of an ordinary differential function (ODF) that includes the mortality rate. A general finding is that the Merton-Samuelson result of constant portfolio choice for a constant mortality is confirmed for arbitrary mortality. The portfolio choice is only influenced by risk and return of assets and the retirees’ risk aversion. To get the specific optimal consumption strategy in a realistic situation the logistic model of mortality has been fitted to the data of the Statistical Yearbook for the Federal Republic of Germany 2006/2008. The optimal initial value for the ODF is obtained by numerical methods. The solution provides a large increase in the ratio of optimal consumption to wealth up to about 92 years followed by a sharp decrease. A bequest motive dampens the magnitudes of the ups and downs of the consumption ratio but does not change the basic shape.

We present empirical evidence on the funding and portfolio allocation of around 200 Dutch corporate pension funds over the period 1996-2005, with a special focus on the influence of the sponsoring firm. We find that unprofitable and small firms contribute less to their pension funds than profitable and large firms, consistent with theories of capital market imperfections. Sponsor contributions are found to be positively correlated with leverage, suggesting that tax effects play a role. Defined benefit funds invest relatively more in equity and less in bonds than their defined contribution counterparts, which is in accordance with the risk shifting theory.

Increasingly, modern business and investment management techniques are founded on approaches to measurement of profit and risk developed by financial economists. This paper begins by analysing corporate pension provision from the perspective of such financial theory. The results of this analysis are then reconciled with the sometimes contradictory messages from traditional actuarial valuation approaches and the alternative market-based valuation paradigm is introduced. The paper then proposes a successful blueprint for this mark-to-market valuation discipline and considers whether and how it can be applied to pension schemes both in theory and in practice. It is asserted that adoption of this market based approach appears now to be essential in many of the most critical areas of actuarial advice in the field of defined benefit corporate pension provision and that the principles can in addition be used to establish more efficient and transparent methodologies in areas which have traditionally relied on subjective or arbitrary methods. We extend the hope that the insights gained from financial theory can be used to level the playing field between defined benefit and defined contribution arrangements from both corporate and member perspectives.

The asset allocation is a crucial decision for pension funds, and this paper analyses the economic factors which determine this choice. The analysis proceeds on the basis that, in the absence of taxation, risk sharing and default insurance, the asset allocation between equities and bonds is indeterminate and governed by the risk/return preferences of the trustees and the employer. If the employing company and its shareholders are subject to taxation, there is a tax advantage in a largely bond allocation. Risk sharing between the employer and the employees often means that one group favours a high equity allocation, while the other favours a low equity allocation. Underpriced default insurance creates an incentive for a high equity allocation. When taxation, risk sharing and underpriced default insurance are all present, it is concluded that the appropriate asset allocation varies with the circumstances of the scheme; but that a high equity allocation is probably inappropriate for many private sector pension schemes.

The impact that capital structure and capital asset allocation have on financial services firm economic capital and risk adjusted performance is considered. A stochastic modelling approach is used in conjunction with banking and insurance examples. It is demonstrated that gearing up Tier 1 capital with Tier 2 capital can be in the interests of bank Tier 1 capital providers, but may not always be so for insurance Tier 1 capital providers. It is also shown that, by allocating a bank or insurance firm’s Tier 1 and Tier 2 capital to higher yielding, more risky assets, risk adjusted performance can be enhanced. These results are particularly pertinent with the advent of the new Basel 2 and Solvency 2 risk based capital initiatives, for banks and insurers respectively.

In this paper we study a single-period optimal portfolio problem in which the aim of the investor is to maximize the expected utility. We assume that the return of every security in the market is a mixture of some common underlying source of risks. A sufficient condition to order the optimal allocations is obtained, and it is shown that several models studied in the literature before are special cases of the proposed model. In the course of the analysis concepts in stochastic orders are employed, and a new characterization of the likelihood ratio order is obtained.