Karissa Grossklaus recently joined an investment banking firm as a research analyst. One of the partners asks her to determine whether a certain stock, Park
Street Holdings, is overvalued or undervalued, and by how much (expressed as percentage return). Grossklaus runs a regression and finds the following information on the stock:
Grossklaus reports that Park Street Holdings stock is:
Click on the arrows to vote for the correct answer
A. B. C. D.C
To determine whether a stock is overvalued or undervalued, we need to compare the expected return (or holding period return) and the required return (from
Capital Asset Pricing Model, or CAPM).
Step 1: Calculate Expected Return (Holding period return):
The formula for the (one-year) holding period return is:
HPR = (D1+ S1"" S0) / S0, where D = dividend and S = stock price.
Here, HPR = (0 + 55 "" 45) / 45 = 22.2%
Step 2: Calculate Required Return:
The formula for the required return is from the CAPM:
RR = Rf+ (ERM"" Rf) * Beta -
Here, we are given the information we need except for Beta. Remember that Beta can be calculated with: Betastock= [covS,M] / [2M]. Here we are given the standard deviation of the market, so the calculation is: 1.30 / 0.752= 2.31.
RR = 4.25% + (12.5 "" 4.25%) * 2.31 = 23.3%.
Step 3: Determine over/under valuation:
The required return is greater than the expected return, so the security is overvalued. The amount = 23.3% - 22.2% = 1.1%.