Backwardation and Normal Backwardation in Energy Futures Markets: With an Application to Metallgesellschaft's Short-Dated Rollover Hedging of Long-Term Contracts

We show that, since the inception of energy futures markets, prices have on average exhibited backwardation. Normal backwardation has also been the norm, but, because of the low power of the standard tests, most researchers have concluded that the unbiased expectations model cannot be rejected. The fact that backwardation has been and (though somewhat more weakly) continues to be prevalent makes MGRM?s strategy of hedging long-term supply commitments with short-dated futures contracts look somewhat better than previous observers have argued. That said, it should be re-stressed that their strategy was a highly speculative one and its unraveling should have come as no great surprise. --

Backwardation and Normal Backwardation in Energy Futures Markets : With an Application to "Metallgesellschaft’s" Short-Dated Rollover Hedging of Long-Term Contracts

We show that, since the inception of energy futures markets, prices have on average exhibited backwardation. Normal backwardation has also been the norm, but, because of the low power of the standard tests, most researchers have concluded that the unbiased expectations model cannot be rejected. The fact that backwardation has been and (though somewhat more weakly) continues to be prevalent makes MGRM’s strategy of hedging long-term supply commitments with short-dated futures contracts look somewhat better than previous observers have argued. That said, it should be re-stressed that their strategy was a highly speculative one and its unraveling should have come as no great surprise

The origins of bubbles in laboratory asset markets

In twelve sessions conducted in a typical bubble-generating experimental environment, we design a pair of assets that can detect both irrationality and speculative behavior. The specific form of irrationality we investigate is probability judgment error associated with low-probability, high-payoff outcomes. Independently, we test for speculation by comparing prices of identically paying assets in multiperiod versus single-period markets. When these tests indicate the presence of probability judgment error and speculation, bubbles are more likely to occur. This finding suggests that both factors are important bubble drivers.

Optimal investment choices post-retirement in a defined contribution pension scheme

In defined contribution pension schemes, the financial risk is borne by the member. Financial risk occurs both during the accumulation phase (investment risk) and at retirement, when the annuity is bought (annuity risk). The annuity risk faced by the member can be reduced through the “income drawdown option”: the retiree is allowed to choose when to convert the final capital into pension within a certain period of time after retirement. In some countries, there is a limiting age when annuitization becomes compulsory (in UK this age is 75). In the interim, the member can withdraw periodic amounts of money to provide for daily life, within certain limits imposed by the scheme’s rules (or by law). In this paper, we investigate the income drawdown option and define a stochastic optimal control problem, looking for optimal investment strategies to be adopted after retirement, when allowing for periodic fixed withdrawals from the fund. The risk attitude of the member is also considered, by changing a parameter in the disutility function chosen. We find that there is a natural target level of the fund, interpretable as a safety level, which can never be exceeded when optimal control is used. Numerical examples are presented in order to analyse various indices — relevant to the pensioner — when the optimal investment allocation is adopted. These indices include, for example, the risk of outliving the assets before annuitization occurs (risk of ruin), the average time of ruin, the probability of reaching a certain pension target (that is greater than or equal to the pension that the member could buy immediately on retirement), the final outcome that can be reached (distribution of annuity that can be bought at limit age), and how the risk attitude of the member affects the key performance measures mentioned above