NO.PZ2018122701000017
问题如下:
The annual mean and volatility of a portfolio are 10% and 40%, respectively. The current value of the portfolio is GBP 1,000,000. How does the 1-year 95% VaR that is calculated using a normal distribution assumption (normal VaR) compare with the 1-year 95% VaR that is calculated using the lognormal distribution assumption (lognormal VaR)?
选项:
A. Lognormal VaR is greater than normal VaR by
GBP 130,400
B. Lognormal VaR is greater than normal VaR by
GBP 175,900
C. Lognormal VaR is less than normal VaR by GBP 130,400
D. Lognormal VaR is less than normal VaR by GBP 175,900
解释:
C is correct.
考点Parametric Estimation Approaches
解析:Normal VAR=0.1-(1.645×0.4)=0.558,
Lognormal VAR=1-exp[0.1-(1.645×0.4)]=0.4276
Hence, lognormal VaR is smaller than Normal VaR by 13.04% per year. With a portfolio of GBP 1,000,000, this translates to GBP 130,400 .
老师,VAR是损失,所以应该计算为负数,计算到正数即为收益。logVAR计算为正数应该怎么理解?另外本题VAR算出是负数,logVAR算出是正数,两个怎么相减。请老师帮忙解答,感谢!