#### Howdy, Stranger!

It looks like you're new here. If you want to get involved, click one of these buttons!

#### CFA Events Calendar

View full calendar

#### CFA Events Calendar

View full calendar

# CFAI Mock A PM - Li (Question 3)

@ravivooda @vincentt‌

Hi guys. I don't quite understand why VAR for SCIRP is being substituted in the multi-factor variance formula to find VAR of error term.

Is there an assumption I'm missing between SCIRP and CCIRP & TELIRP? What is the relation between these three indices?

• IndiaPosts: 268 Portfolio Manager
Can you post the question please. @alta12
• The Smart Card Index (SCI) risk premium, equal to the SCI return minus the risk-free rate, denoted SCIRP is used as the dependent variable in a 2 factor regression in which the independent variables are index returns minus the risk-free rate for the consumer credit industry (CCIRP) and the telecommunication industry (TELIRP). The regression results:

SCIRP: Mean 5.4% VAR 0.2704
CCRIP: Mean 4.6% VAR 0.0784
TELIRP: Mean 2.8% VAR 0.1024

Regression co-efficient: a = 0.011 b (CCIRP) = 1.02 b (TELIRP) = 1.045

Q: Based on the correlation of 0.25 that the team believes to exist between CCIRP and TELIRP, the new volatility is closest to?

A:56.4%
• LondonPosts: 749 Sr Portfolio Manager
Hi @alta12 the formula for VaR requires the return which is not given here. Plus because this is a regression so you have to use the formula given.

In schweser there's a note saying to memorise that formula only if you have the time otherwise it's negligible.
• IndiaPosts: 268 Portfolio Manager
@alta12, the question says that SCRIP is a dependant variable. So it is depending on CCRIP and TELIRP. These are the independent ones.
• Thanks. Got it!