VaR:定义与缺陷
Value at Risk
题目详情
简述 VaR 的定义,并说明它在衍生品风险管理上的主要缺陷。
Briefly define VaR. Pitfalls for derivative risk?
解析
VaR(Value at Risk)是在给定置信水平(如 99%)与给定期限下,损失分布的某个分位数。
主要缺陷:
- 只告诉你“分位点”,不描述分位点之外的尾部损失大小(尾部风险可能很大)。
- 一般不满足次可加性(subadditivity),不一定符合分散化直觉。
- 对具有非线性/肥尾的衍生品组合,VaR 可能严重低估极端风险。
Original Explanation
Value at Risk = a percentile of possible losses at a certain confidence (e.g. 99%). Doesn’t reveal the tail beyond that percentile => can hide big tail losses. Also fails subadditivity => not fully consistent with diversification logic. For derivatives with large tail risk, VaR can be misleading.