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西红柿面 · 2025年03月24日

问两个问题

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NO.PZ202212280100002101

问题如下:

Colleen Finnegan is 32 years old and lives in Ireland. She worked as an equity analyst for 10 years, but lost her job during a recent bear market. Finnegan’s compensation was highly correlated with equity market returns and she expects this will be true for the rest of her working life. She continues to manage her personal portfolio of European equities and bonds, currently valued at 300,000 euros (EUR). Finnegan optimizes and rebalances her portfolio using meanvariance optimization (MVO). Her current allocation is 70% equities and 30% fixed income, including cash. In managing her portfolio, she has been dissatisfied with the frequency of rebalancing required and the amount of transaction costs incurred.

Finnegan has a variable-rate mortgage on her home. If she fails to make her mortgage payments for three months, she risks losing her home. Finnegan does not want to sell assets in her investment portfolio to pay her monthly mortgage payments. She hopes to find a new job before her cash is depleted. Because she is unemployed, her effective tax rate is currently very low, but will increase significantly once she finds a new job.

Finnegan seeks advice on her asset allocation approach from Seamus Welch, a portfolio manager with her former employer. Finnegan tells Welch that she had above-average risk tolerance while she was employed. She now thinks she has below-average risk tolerance until she finds a new job. She also explains that if she starts a new job within the year, she intends to make a deposit of EUR 30,000 on a home for her physically disabled sister. This deposit would be funded by liquidating some assets. Finnegan tells Welch that, as an analyst, she covered European clothing retailers. She continues to maintain a positive view on many firms in this sector and she would like to incorporate these views into her investment strategy.

Welch suggests to Finnegan that, based on her circumstances, the standard MVO process can be improved upon by using a resampled efficient frontier, the Black-Litterman approach, or a Monte Carlo simulation.


A. Explain, compared to the standard MVO process, and based on Finnegan’s circumstances:

i. two advantages of using a resampled efficient frontier.

ii. one advantage of using the Black-Litterman approach.

iii. two advantages of using a Monte Carlo simulation.

选项:

解释:

i. Advantages of using a resampled efficient frontier:

The resampled efficient frontier approach generates portfolios that are more stable through time than those derived using standard mean-variance optimization (MVO). Finnegan stated that she was dissatisfied with the high level of turnover and transaction costs she incurred in her portfolio using standard MVO. A portfolio that is more stable would reduce turnover and transaction costs, and be more appropriate for Finnegan.

The resampled efficient frontier approach generates portfolios that are more diversified than those derived using standard MVO. Finnegan stated that she has below-average risk tolerance until she finds a new job. A more diversified portfolio should be less volatile, meeting Finnegan’s lower risk tolerance requirement.

ii. Advantages of using the Black-Litterman approach:

The Black-Litterman (BL) approach incorporates the investor’s views. Finnegan has a positive view of the European retail clothing sector. The BL approach allows her to incorporate these views, while standard MVO does not.

The BL approach generates portfolios that are more diversified than those derived using standard MVO. Finnegan stated that she has below-average risk tolerance until she finds a new job. A more diversified portfolio should be less volatile, meeting Finnegan’s lower risk tolerance requirement.

iii. Advantages of using a Monte-Carlo simulation:

Monte Carlo simulations allow for portfolio rebalancing under changing tax rates and in multi-period situations. Finnegan’s effective tax rate will likely increase sharply when she starts a new job. MVO does not consider these factors.

Monte Carlo simulations can compute path-dependent terminal wealth. Finnegan hopes to make a deposit on a home for her sister within the year, provided she finds a new job. Cash flows in and out of a portfolio and the sequence of returns will have a material effect on terminal wealth – this is termed path-dependent. In Finnegan’s case, the deposit would be a significant cash outflow, resulting in lower terminal wealth.

  1. 为什么EF的估计约stable,A portfolio that is more stable would reduce turnover and transaction costs
  2. 第三点我这么回答可以吗:

iii. two advantages of using a Monte Carlo simulation.

Monte Carlo can solve the path dependent and longer period simulation. Finnegan has a variable-rate mortgage on her home. If she fails to make her mortgage payments for three months, she risks losing her home. Finnegan does not want to sell assets in her investment portfolio to pay her monthly mortgage payments. By doing so can simulate three month longer period and better to make asset allocation choices.

Monte Carlo can take market conditions into dynamic considerations. Finnegan tells Welch that she had above-average risk tolerance while she was employed. She now thinks she has below-average risk tolerance until she finds a new job. She also explains that if she starts a new job within the year, she intends to make a deposit of EUR 30,000 on a home for her physically disabled sister. It can take into money deposit and withdraw, also change of her risk tolerance into consideration.

1 个答案

Lucky_品职助教 · 2025年03月25日

嗨,爱思考的PZer你好:


你的第一个问题,在之前的一个问题中已经回答过你了。


你的回答没有像标准答案那样明确提及 “路径依赖(path - dependent)” 这个关键概念,在专业表述上有所欠缺。

你提到MCS能动态考虑市场条件,将资金存取和风险容忍度变化纳入考虑,没有突出税率变化这一关键因素,没有完全符合题目基于 Finnegan 情况的分析要求。


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