ADM 3352 Lecture Notes - Lecture 7: Risk Premium, Systematic Risk, Net Present Value

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The capital asset pricing model: e(rp) = rf + b. 18 = 6 + b (14 6) If the covariance of the security doubles, then so will its beta and its risk premium. The current risk premium is 14 6 = 8 percent, so the new risk premium would be. 16 percent, and the new discount rate for the security would be 16 + 6 = 22 percent. If the stock pays a constant perpetual dividend, then we know from the original data that the dividend, d, must satisfy the equation for the present value of a perpetuity: At the new discount rate of 22 percent, the stock would be worth only /. 22 = The increase in stock risk has lowered its value by 36. 36 percent. 14 = . 00: the appropriate discount rate for the project is rf + b [e(rm) rf ] = 8 + 1. 7(16 8) = 21. 6% Npv = 40m + 15m annuity factor (21. 6%, 10 years)

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