Capital Asset Pricing Model (CAPM)
Capital asset pricing model (CAPM) indicates what should be the expected or required rate of return on risky assets like Procter & Gamble Co. common stock.
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Procter & Gamble Co. pages available for free this week:
- Common-Size Balance Sheet: Liabilities and Stockholders’ Equity
- Analysis of Solvency Ratios
- Price to FCFE (P/FCFE)
- Return on Equity (ROE) since 2005
- Current Ratio since 2005
- Total Asset Turnover since 2005
- Price to Earnings (P/E) since 2005
- Price to Book Value (P/BV) since 2005
- Price to Sales (P/S) since 2005
- Analysis of Debt
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Rates of Return
Procter & Gamble Co., monthly rates of return
| Procter & Gamble Co. (PG) | Standard & Poor’s 500 (S&P 500) | |||||
|---|---|---|---|---|---|---|
| t | Date | PricePG,t1 | DividendPG,t1 | RPG,t2 | PriceS&P 500,t | RS&P 500,t3 |
| Jul 31, 2017 | ||||||
| 1. | Aug 31, 2017 | |||||
| 2. | Sep 30, 2017 | |||||
| 3. | Oct 31, 2017 | |||||
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| 70. | May 31, 2023 | |||||
| 71. | Jun 30, 2023 | |||||
| Average (R): | ||||||
| Standard deviation: | ||||||
| Procter & Gamble Co. (PG) | Standard & Poor’s 500 (S&P 500) | |||||
|---|---|---|---|---|---|---|
| t | Date | PricePG,t1 | DividendPG,t1 | RPG,t2 | PriceS&P 500,t | RS&P 500,t3 |
| Jul 31, 2017 | ||||||
| 1. | Aug 31, 2017 | |||||
| 2. | Sep 30, 2017 | |||||
| 3. | Oct 31, 2017 | |||||
| 4. | Nov 30, 2017 | |||||
| 5. | Dec 31, 2017 | |||||
| 6. | Jan 31, 2018 | |||||
| 7. | Feb 28, 2018 | |||||
| 8. | Mar 31, 2018 | |||||
| 9. | Apr 30, 2018 | |||||
| 10. | May 31, 2018 | |||||
| 11. | Jun 30, 2018 | |||||
| 12. | Jul 31, 2018 | |||||
| 13. | Aug 31, 2018 | |||||
| 14. | Sep 30, 2018 | |||||
| 15. | Oct 31, 2018 | |||||
| 16. | Nov 30, 2018 | |||||
| 17. | Dec 31, 2018 | |||||
| 18. | Jan 31, 2019 | |||||
| 19. | Feb 28, 2019 | |||||
| 20. | Mar 31, 2019 | |||||
| 21. | Apr 30, 2019 | |||||
| 22. | May 31, 2019 | |||||
| 23. | Jun 30, 2019 | |||||
| 24. | Jul 31, 2019 | |||||
| 25. | Aug 31, 2019 | |||||
| 26. | Sep 30, 2019 | |||||
| 27. | Oct 31, 2019 | |||||
| 28. | Nov 30, 2019 | |||||
| 29. | Dec 31, 2019 | |||||
| 30. | Jan 31, 2020 | |||||
| 31. | Feb 29, 2020 | |||||
| 32. | Mar 31, 2020 | |||||
| 33. | Apr 30, 2020 | |||||
| 34. | May 31, 2020 | |||||
| 35. | Jun 30, 2020 | |||||
| 36. | Jul 31, 2020 | |||||
| 37. | Aug 31, 2020 | |||||
| 38. | Sep 30, 2020 | |||||
| 39. | Oct 31, 2020 | |||||
| 40. | Nov 30, 2020 | |||||
| 41. | Dec 31, 2020 | |||||
| 42. | Jan 31, 2021 | |||||
| 43. | Feb 28, 2021 | |||||
| 44. | Mar 31, 2021 | |||||
| 45. | Apr 30, 2021 | |||||
| 46. | May 31, 2021 | |||||
| 47. | Jun 30, 2021 | |||||
| 48. | Jul 31, 2021 | |||||
| 49. | Aug 31, 2021 | |||||
| 50. | Sep 30, 2021 | |||||
| 51. | Oct 31, 2021 | |||||
| 52. | Nov 30, 2021 | |||||
| 53. | Dec 31, 2021 | |||||
| 54. | Jan 31, 2022 | |||||
| 55. | Feb 28, 2022 | |||||
| 56. | Mar 31, 2022 | |||||
| 57. | Apr 30, 2022 | |||||
| 58. | May 31, 2022 | |||||
| 59. | Jun 30, 2022 | |||||
| 60. | Jul 31, 2022 | |||||
| 61. | Aug 31, 2022 | |||||
| 62. | Sep 30, 2022 | |||||
| 63. | Oct 31, 2022 | |||||
| 64. | Nov 30, 2022 | |||||
| 65. | Dec 31, 2022 | |||||
| 66. | Jan 31, 2023 | |||||
| 67. | Feb 28, 2023 | |||||
| 68. | Mar 31, 2023 | |||||
| 69. | Apr 30, 2023 | |||||
| 70. | May 31, 2023 | |||||
| 71. | Jun 30, 2023 | |||||
| Average (R): | ||||||
| Standard deviation: | ||||||
Show all
1 Data in US$ per share of common stock, adjusted for splits and stock dividends.
2 Rate of return on common stock of PG during period t
3 Rate of return on S&P 500 (the market portfolio proxy) during period t
Variance and Covariance
Procter & Gamble Co., calculation of variance and covariance of returns
| t | Date | RPG,t | RS&P 500,t | (RPG,t–RPG)2 | (RS&P 500,t–RS&P 500)2 | (RPG,t–RPG)×(RS&P 500,t–RS&P 500) |
|---|---|---|---|---|---|---|
| 1. | Aug 31, 2017 | |||||
| 2. | Sep 30, 2017 | |||||
| 3. | Oct 31, 2017 | |||||
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| 70. | May 31, 2023 | |||||
| 71. | Jun 30, 2023 | |||||
| Total (Σ): | ||||||
| t | Date | RPG,t | RS&P 500,t | (RPG,t–RPG)2 | (RS&P 500,t–RS&P 500)2 | (RPG,t–RPG)×(RS&P 500,t–RS&P 500) |
|---|---|---|---|---|---|---|
| 1. | Aug 31, 2017 | |||||
| 2. | Sep 30, 2017 | |||||
| 3. | Oct 31, 2017 | |||||
| 4. | Nov 30, 2017 | |||||
| 5. | Dec 31, 2017 | |||||
| 6. | Jan 31, 2018 | |||||
| 7. | Feb 28, 2018 | |||||
| 8. | Mar 31, 2018 | |||||
| 9. | Apr 30, 2018 | |||||
| 10. | May 31, 2018 | |||||
| 11. | Jun 30, 2018 | |||||
| 12. | Jul 31, 2018 | |||||
| 13. | Aug 31, 2018 | |||||
| 14. | Sep 30, 2018 | |||||
| 15. | Oct 31, 2018 | |||||
| 16. | Nov 30, 2018 | |||||
| 17. | Dec 31, 2018 | |||||
| 18. | Jan 31, 2019 | |||||
| 19. | Feb 28, 2019 | |||||
| 20. | Mar 31, 2019 | |||||
| 21. | Apr 30, 2019 | |||||
| 22. | May 31, 2019 | |||||
| 23. | Jun 30, 2019 | |||||
| 24. | Jul 31, 2019 | |||||
| 25. | Aug 31, 2019 | |||||
| 26. | Sep 30, 2019 | |||||
| 27. | Oct 31, 2019 | |||||
| 28. | Nov 30, 2019 | |||||
| 29. | Dec 31, 2019 | |||||
| 30. | Jan 31, 2020 | |||||
| 31. | Feb 29, 2020 | |||||
| 32. | Mar 31, 2020 | |||||
| 33. | Apr 30, 2020 | |||||
| 34. | May 31, 2020 | |||||
| 35. | Jun 30, 2020 | |||||
| 36. | Jul 31, 2020 | |||||
| 37. | Aug 31, 2020 | |||||
| 38. | Sep 30, 2020 | |||||
| 39. | Oct 31, 2020 | |||||
| 40. | Nov 30, 2020 | |||||
| 41. | Dec 31, 2020 | |||||
| 42. | Jan 31, 2021 | |||||
| 43. | Feb 28, 2021 | |||||
| 44. | Mar 31, 2021 | |||||
| 45. | Apr 30, 2021 | |||||
| 46. | May 31, 2021 | |||||
| 47. | Jun 30, 2021 | |||||
| 48. | Jul 31, 2021 | |||||
| 49. | Aug 31, 2021 | |||||
| 50. | Sep 30, 2021 | |||||
| 51. | Oct 31, 2021 | |||||
| 52. | Nov 30, 2021 | |||||
| 53. | Dec 31, 2021 | |||||
| 54. | Jan 31, 2022 | |||||
| 55. | Feb 28, 2022 | |||||
| 56. | Mar 31, 2022 | |||||
| 57. | Apr 30, 2022 | |||||
| 58. | May 31, 2022 | |||||
| 59. | Jun 30, 2022 | |||||
| 60. | Jul 31, 2022 | |||||
| 61. | Aug 31, 2022 | |||||
| 62. | Sep 30, 2022 | |||||
| 63. | Oct 31, 2022 | |||||
| 64. | Nov 30, 2022 | |||||
| 65. | Dec 31, 2022 | |||||
| 66. | Jan 31, 2023 | |||||
| 67. | Feb 28, 2023 | |||||
| 68. | Mar 31, 2023 | |||||
| 69. | Apr 30, 2023 | |||||
| 70. | May 31, 2023 | |||||
| 71. | Jun 30, 2023 | |||||
| Total (Σ): | ||||||
Show all
VariancePG = Σ(RPG,t–RPG)2 ÷ (71 – 1)
= ÷ (71 – 1)
=
VarianceS&P 500 = Σ(RS&P 500,t–RS&P 500)2 ÷ (71 – 1)
= ÷ (71 – 1)
=
CovariancePG, S&P 500 = Σ(RPG,t–RPG)×(RS&P 500,t–RS&P 500) ÷ (71 – 1)
= ÷ (71 – 1)
=
Systematic Risk (β) Estimation
| VariancePG | |
| VarianceS&P 500 | |
| CovariancePG, S&P 500 | |
| Correlation coefficientPG, S&P 5001 | |
| βPG2 | |
| αPG3 |
Calculations
1 Correlation coefficientPG, S&P 500
= CovariancePG, S&P 500 ÷ (Standard deviationPG × Standard deviationS&P 500)
= ÷ ( × )
=
2 βPG
= CovariancePG, S&P 500 ÷ VarianceS&P 500
= ÷
=
3 αPG
= AveragePG – βPG × AverageS&P 500
= – ×
=
Expected Rate of Return
| Assumptions | ||
| Rate of return on LT Treasury Composite1 | RF | |
| Expected rate of return on market portfolio2 | E(RM) | |
| Systematic risk (β) of Procter & Gamble Co. common stock | βPG | |
| Expected rate of return on Procter & Gamble Co. common stock3 | E(RPG) | |
1 Unweighted average of bid yields on all outstanding fixed-coupon U.S. Treasury bonds neither due or callable in less than 10 years (risk-free rate of return proxy).
3 E(RPG) = RF + βPG [E(RM) – RF]
= + [ – ]
=