Why was the the risk free rate not deducted from market rate,shouldnt it have been (1.3 × [8-3]%) 13.4% The equity beta relates to the cost of equity, hence gearing and the debt beta are not relevant. E(ri) = Rf + ? (E(Rm) – Rf) = 3% + (1.3 × 8%) = 13.4%
The question does not give the market rate. It gives the market premium which is the excess of the market rate over the risk free rate (and so the market rate is actually 11%).