Firstly, the mortality table “2010CM” is obtained from the official website of the IRS. It shows survival cohorts starting from age 0 to the age of 110 with corresponding death probability of and depicted as numbers from 100.000 to 0 respectively. According to the data, the probability of surviving beyond the age of 110 therefore is zero and we observe a rapidly increasing rate of mortality in the higher age groups, depicting mortality trends of real life data. Moreover, these mortality tables have to be updated regularly to reflect changes of mortality in a society over time, caused by various environmental and societal changes.
Table of Contents
1. Data
2. Model and Methods
3. Results
4. Conclusion
5. References
Objectives and Research Focus
This paper aims to model and evaluate individual pension plans by comparing different withdrawal strategies and asset allocations to optimize payouts, minimize shortfall risks, and account for bequest potential in retirement finance.
- Comparison of fixed and percentage-based multi-asset withdrawal plans.
- Stochastic simulation of equity and bond returns to assess retirement outcomes.
- Evaluation of "Probability of Consumption Shortfall" (PCS) and mean excess loss.
- Analysis of the optimal equity-bond mix for maximizing lifetime withdrawals.
- Assessment of bequest potential versus lifelong annuity options.
Excerpt from the Book
3. Results
This chapter briefly comments on the results and findings of the excel simulation.
The average payouts from the fixed withdrawal plan matches the benchmark annuity payouts till the age of around 74. After that, a general constant falloff can be observed, with only 50,01% of average expected payouts for the age 109 compared to the annuity benchmark. The percentage withdrawal plan on the other hand, is showing a significantly smaller deviation to the downside compared to the annuity benchmark. It is only falling to 91,98% with an average expected payout of over 100% of the benchmark till the age of 85. The average expected payout is thus much more stable over the life of the pensioner, especially for the older age groups 95 and 105. Finally, the lifelong annuity pays the same amount until death without deviation to the up- or downside.
Summary of Chapters
1. Data: This chapter introduces the mortality metrics and interest rate assumptions, including the calibration of the Gompertz Mortality Law and the parameters for stochastic asset returns.
2. Model and Methods: This section details the simulation approach for multi-asset withdrawal plans, defining how random normal distributions and portfolio rebalancing are used to model equity and bond returns.
3. Results: This chapter analyzes the performance of fixed versus percentage withdrawal plans, focusing on payout stability, shortfall risks, and the impact of asset allocation on wealth accumulation.
4. Conclusion: The final chapter synthesizes the simulation findings, arguing that while percentage withdrawal plans offer higher flexibility and lower severe drawdown risk, fixed plans remain effective for wealth preservation.
5. References: This section provides the academic literature and citations supporting the methodologies and comparative analysis.
Keywords
Pension Finance, Investment Strategy, Withdrawal Plans, Stochastic Modeling, Mortality Law, Consumption Shortfall, Asset Allocation, Equities, Bonds, Annuity Benchmark, Bequest Potential, Portfolio Rebalancing, Retirement Planning, Financial Simulation, Capital Drawdown
Frequently Asked Questions
What is the primary focus of this paper?
The paper evaluates different modeling strategies for individualized pension plans, specifically comparing fixed versus percentage-based withdrawal plans under varying market conditions.
What are the main thematic areas covered?
The research covers retirement finance, stochastic modeling of asset returns, risk-based analysis of withdrawal strategies, and the trade-offs between payout stability and wealth preservation.
What is the central research question?
The research asks how different withdrawal mechanisms and portfolio compositions affect a pensioner's ability to maintain consumption throughout retirement while managing the risk of capital depletion.
Which scientific methods are utilized?
The study employs a quantitative approach using Excel-based stochastic simulations, applying the Gompertz Mortality Law and multiplicative random walks with drift to project portfolio outcomes.
What topics are discussed in the main body?
The main body treats the derivation of survival probabilities, the simulation of equity and bond performance, the calculation of "Probability of Consumption Shortfall" (PCS), and the analysis of bequest outcomes.
Which keywords best characterize this work?
Key terms include Pension Finance, Stochastic Modeling, Consumption Shortfall, Withdrawal Plans, and Asset Allocation.
Why does the percentage withdrawal plan show high shortfall probability in early years?
The spike in shortfall probability occurs because the percentage formula is sensitive to initial market performance; if returns are insufficient against fixed planned payouts, the resulting withdrawal amount falls below the benchmark.
What conclusion does the author draw regarding fixed versus percentage plans?
The author favors the percentage withdrawal plan due to its lower risk of severe capital drawdown, noting that while it has a higher probability of small shortfalls, it avoids the catastrophic total wealth depletion associated with fixed plans.
- Quote paper
- Philipp Zeyer (Author), 2022, Modeling of an individualized pension plan. Advanced Investment and Pension Finance, Munich, GRIN Verlag, https://www.grin.com/document/1358739
