Question: SMALL BIG Low Medium High Low Medium High Ave 1 1.0658 1.2361 1.5147 0.9225 0.9272 1.2764 Ave 2 0.8986 1.2558 1.3624 0.9267 0.9908 1.0887 SD1
| SMALL | BIG | |||||
| Low | Medium | High | Low | Medium | High | |
| Ave 1 | 1.0658 | 1.2361 | 1.5147 | 0.9225 | 0.9272 | 1.2764 |
| Ave 2 | 0.8986 | 1.2558 | 1.3624 | 0.9267 | 0.9908 | 1.0887 |
| SD1 | 8.1038 | 8.2273 | 10.0162 | 5.7961 | 6.6705 | 8.7584 |
| SD2 | 6.8098 | 5.3825 | 5.5700 | 4.7012 | 4.3725 | 4.9146 |
| Skew1 | 1.2889 | 1.6169 | 2.3286 | -0.0257 | 1.6694 | 1.7480 |
| Skew2 | -0.4087 | -0.5339 | -0.4504 | -0.3251 | -0.4093 | -0.5204 |
| Kurt1 | 10.2735 | 13.5372 | 18.0033 | 6.7632 | 17.4930 | 14.8482 |
| Kurt2 | 1.9277 | 3.2174 | 3.8985 | 1.9199 | 2.3740 | 2.7469 |
1.) Calculate the average monthly return premium on the SMB and HML portfolios in the second period (1971-2018). For example, SMB will be given by [(B4+C4+D4) (E4+F4+G4)]/3. Similarly,HML will be given by [(D4 B4) + (G4 E4)]/2, i.e., the average of the two differences observed. Convert the monthly premiums to annual rates by using the following formula:
Pa = (1 + Pm)12 - 1
Note: All the returns in the table above are in percentages. Always perform mathematical operations using numbers in decimal format, in this case, the values divided by 100.
2.) Recall the 3-factor FF model:
E(Ri) = Rf + Bm (Rm - Rf) + BSMB (S - Rf - (B - Rf)) + BHML (H - Rf - (L - Rf))
= Rf + Bm (Rm - Rf) + BSMB (S - B) + BHML (H - L)
State the risk/return relationship above, if the annual risk-free rate is 2% and the return on the market portfolio is 6.5%
3.) You are valuing a company using the Gordon Growth Model with constant growth rate of 3%, and the most recent dividend payment of $1 per share. Find the fair market value of the company using the CAPM model, if the stock has a beta of 1.2.
4.) Using the same company and data as in part (3), compute the fair value of the company, if the SMB beta is -0.2, and the HML beta is 0.7. Contrast your finding to that of part (3). What do you conclude? Can you characterize this company with the data available?
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