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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%