1. Novo-Gemini shares were purchased for $20.75 per share.
2. At the time of purchase, research by Chen suggested that Novo-Gemini shares were expected to sell for $29.00 per share at the end of a 3-year holding period.
3. At the time of purchase, the required return for Novo-Gemini based upon the capital asset pricing model (CAPM) was estimated to be 12.6% on an annual basis.
4. Exactly 3 years after the purchase date, the shares were sold for $30.05 per share.
5. No dividends were paid by Novo-Gemini over the 3-year holding period. Chen explains to Johansson that, at the time of purchase, the CAPM used to estimate a required return for Novo-Gemini incorporated an unadjusted historical equity risk premium estimate for the US equity market. Chen notes that the US equities market has experienced a meaningful string of favorable inflation and productivity surprises in the past. She asks Johansson whether the historical equity risk premium should have been adjusted before estimating the required return for Novo-Gemini.
For another perspective on the reward to bearing risk, Chen asks Johansson to calculate a forward-looking equity risk premium for the US equity market using data on the S&P 500 index in Exhibit 2.
Exhibit 2 S&P 500 Index Data
Dividend yield, based on year-ahead aggregate forecasted dividends 1.2%
Consensus long-term earnings growth rate 4%
20-year US government bond yield 3%
Chen is now considering adding shares of Bezak, Inc. to the portfolio. Chen asks Johansson
to calculate Bezak’s weighted average cost of capital using the CAPM with the information
provided in Exhibit 3.
Exhibit 3 Bezak, Inc.
Pretax cost of debt 4.9%
Long-term debt as a percent of total capital, at market value 25%
Marginal tax rate 30%
Bezak, Inc. beta 2.00
Estimated equity risk premium 5.5%
Risk-free rate 3.0%
Lastly, Chen asks Johansson to evaluate Twin Industries, a privately owned US company that may initiate a public stock offering. Johansson decides to adapt CAPM to estimate the
required return on equity for Twin Industries. Using the MSCI / Standard & Poor’s Global Industry Classification Standard (GICS), Johansson identifies a publicly traded peer company
with an estimated beta of 1.09 that is much larger but otherwise similar to Twin Industries. Twin Industries is funded 49% by debt, while the publicly traded peer company is funded
60% by debt.

Based on the historical record of surprises in inflation and productivity, the historical risk premium for the US equity market, if it is used as an estimate of the forward-
looking equity risk premium should most likely be:
A. left unchanged.
B. adjusted upward.
C. adjusted downward.

Based on Exhibit 2, the forward-looking estimate for the US equity risk premium is closest
to:
A. 2.2%.
B. 5.8%.
C. 8.2%.

The estimate of beta for Twin Industries is closest to:
A. 0.44.
B. 0.85.
C. 0.89.

A potential weakness of Johansson’s approach to estimating the required return on equity
for Twin Industries is that the return estimate:
A. does not include a size premium.
B. may overstate potential returns over the long term.
C. does not consider systematic risk arising from the economics of the industry.