NO.PZ2020011303000238
问题如下:
Suppose a portfolio has an exposure of +50 to a one basis-point increase in the five-year Treasury rate, an exposure of -100 to a one-basis-point increase in the ten-year Treasury rate, and no other exposures.
The standard deviation of the daily change in the portfolio above based on its exposure to the first two factors is 329.19.
What is the estimated 20-day, 95% VaR for the portfolio?
解释:
题目问:假设有一个组合,当5年的treasury利率上升1bp时,exposure变成+50;10年的treasury利率上升1bp时,exposure变成-100。没有其他的exposure,1天的组合标准差是329.19。要求估计组合20天,95%的VaR。
20-day 95%VaR=201/2 × N-1(0.95) × 329.19 = 2,421.55
5年的delta=50,10年的delta=-100