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To compare across in a sector, you are looking to price-to-book value ratio. Given the relationship between price-to-book value (PBV) ratios and return on equity

To compare across in a sector, you are looking to price-to-book value ratio. Given the relationship between price-to-book value (PBV) ratios and return on equity (ROE), you are now about to value of integrated oil firms using a regression analysis. To run the regression analysis, you collect the following table which reports the PBV ratios, and ROEs.

Integrated Oil Firms Price-to-Book Value (PBV) Ratio Return on Equity (ROE)
Firm 1 0.54 7.47%
Firm 2 0.64 -4.83%
Firm 3 0.95 6.28%
Firm 4 1.45 10.33%
Firm 5 1.72 13.96%
Firm 6 2.15 16.44%
Firm 7 2.40 14.49%
Firm 8 3.03 15.69%
Firm 9 3.24 13.43%
Firm 10 3.53 10.67%

1. Regress of PBV on ROE and you will have the following results. Fill in the blanks (Note: Round to the nearest tenth. e.g. 3.452 => 3.5)

Coefficients t-Statistics
Intercepts 1.5
ROE 2.5

2. Using the estimated regression model from the above result, calculate the respective predicted PBV multiples and fill in the blanks (Note: Round to the nearest hundredth. e.g. 3.452 => 3.45)

Integrated Oil Firms Price-to-Book Value (PBV) Ratio Predicted PBV multiples
Firm 1 0.54 1.64
Firm 2 0.64 0.26
Firm 3 0.95
Firm 4 1.45
Firm 5 1.72 2.36
Firm 6 2.15 2.64
Firm 7 2.40 2.42
Firm 8 3.03
Firm 9 3.24 2.30
Firm 10 3.53

3. Based on the calculated PBV, identify whether Firm 3, 4, 8, 10 are undervalued or overvalued. Fill in the blanks in the following table. (Note: type either "undervalued" or "overvalued")

Firms Valuation (Undervalued/Overvalued)
Firm 3
Firm 4
Firm 8
Firm 10

4. Complete the following sentence based on your analysis by filling in the blanks.

Firm ___ and ___ are less than their fundamental value (i.e., the predicted PBV). Thus, you should make (select "buy" or "sell") recommendation.

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