Optimal income drawdown and investment with longevity basis risk
Why this work is in the frame
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Bibliographic record
Abstract
We investigate a utility maximisation problem for a pension scheme which offers an income drawdown policy. Apart from market risk, we specifically focus on longevity basis risk which arises when the forces of mortality of the scheme's target population and the reference population of a longevity bond used for hedging, are not perfectly correlated. By modelling the forces of mortality of the reference and target populations as stochastic affine processes, we derive analytic solutions for the relevant investment strategy and benefit withdrawal rate. Our model also accounts for dependencies between mortality rate fluctuations and stock prices. Our extensive numerical results demonstrate that the longevity bond acts as an effective hedging instrument, even in the presence of longevity basis risk.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.002 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.002 | 0.001 |
| Scholarly communication | 0.001 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it