NO.PZ201909280100001103
问题如下:
Based on Exhibit 2, which alternative portfolio should Gension recommend for the fund given Smittand’s stated three goals?
选项:
A.
Portfolio A
B.
Portfolio B
C.
Portfolio C
解释:
A is correct. Among
the three portfolios, Portfolio A minimizes the probability of triggering the
primary lender’s loan covenant, which is the highest-priority goal, because it
has the lowest one-year 99% CVaR, –19.4%. Portfolio A also has the lowest
probability of purchasing power impairment over a 10-year horizon (2.5%). While
Portfolio A has the lowest probability of achieving a real return target of 6%
over a 10-year horizon (56.1%), that is the least important goal to be met.
Therefore, Gension should recommend Portfolio A for the fund.
B is incorrect
because Portfolio B has a one-year 99% CVaR of –20.6%, which crosses the loan
covenant threshold of a 20% loss. Portfolio A is the only one that satisfies
the most important goal and is the portfolio least likely to trigger the loan
covenant. Since Portfolio B does not achieve the most important goal of
minimizing the probability of triggering the primary lender’s loan covenant,
Portfolio B should not be the recommended portfolio.
C is incorrect
because despite the fact that Portfolio C has the highest probability of
meeting the 6% real return over a 10-year horizon, 61.0%, it also has a
one-year 99% CVaR of –22.7% and thus the highest probability of triggering the
loan covenant. Portfolio A is the only one that satisfies the most important
goal and is the portfolio least likely to trigger the loan covenant. Since
Portfolio C does not achieve the most important goal of minimizing the
probability of triggering the primary lender’s loan covenant, Portfolio C
should not be the recommended portfolio.
这个题的核心是这句话
然后是弄明白CVaR是什么意思,一年期 99% CVaR:如果回报低于 99% VaR 阈值时的预期回报。具体解释就是先说VaR,这个是指比如在99%的可能下的最差表现,可是问题是万一出现那百分之一呢?于是有了这个一年期 99% CVaR,就是用来研究在极端情况下(就是那个1%)可能产生的最差情况。
而这个题的表2,portfolio B和C都在CVaR情况下跌幅超过20%。于是只剩下了portfolio A了。
好几道题中都是var和cvar都给,var用不用看?