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 Starbucks Corp. common stock.
Rates of Return
Starbucks Corp., monthly rates of return
| Starbucks Corp. (SBUX) | Standard & Poor’s 500 (S&P 500) | |||||
|---|---|---|---|---|---|---|
| t | Date | PriceSBUX,t1 | DividendSBUX,t1 | RSBUX,t2 | PriceS&P 500,t | RS&P 500,t3 |
| Oct 31, 2017 | $54.84 | 2,575.26 | ||||
| 1. | Nov 30, 2017 | $57.82 | $0.30 | 5.98% | 2,647.58 | 2.81% |
| 2. | Dec 31, 2017 | $57.43 | -0.67% | 2,673.61 | 0.98% | |
| 3. | Jan 31, 2018 | $56.81 | -1.08% | 2,823.81 | 5.62% | |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| 70. | Aug 31, 2023 | $97.44 | $0.53 | -3.54% | 4,507.66 | -1.77% |
| 71. | Sep 30, 2023 | $91.27 | -6.33% | 4,288.05 | -4.87% | |
| Average (R): | 1.18% | 0.85% | ||||
| Standard deviation: | 7.65% | 5.13% | ||||
| Starbucks Corp. (SBUX) | Standard & Poor’s 500 (S&P 500) | |||||
|---|---|---|---|---|---|---|
| t | Date | PriceSBUX,t1 | DividendSBUX,t1 | RSBUX,t2 | PriceS&P 500,t | RS&P 500,t3 |
| Oct 31, 2017 | $54.84 | 2,575.26 | ||||
| 1. | Nov 30, 2017 | $57.82 | $0.30 | 5.98% | 2,647.58 | 2.81% |
| 2. | Dec 31, 2017 | $57.43 | -0.67% | 2,673.61 | 0.98% | |
| 3. | Jan 31, 2018 | $56.81 | -1.08% | 2,823.81 | 5.62% | |
| 4. | Feb 28, 2018 | $57.10 | $0.30 | 1.04% | 2,713.83 | -3.89% |
| 5. | Mar 31, 2018 | $57.89 | 1.38% | 2,640.87 | -2.69% | |
| 6. | Apr 30, 2018 | $57.57 | -0.55% | 2,648.05 | 0.27% | |
| 7. | May 31, 2018 | $56.67 | $0.30 | -1.04% | 2,705.27 | 2.16% |
| 8. | Jun 30, 2018 | $48.85 | -13.80% | 2,718.37 | 0.48% | |
| 9. | Jul 31, 2018 | $52.39 | 7.25% | 2,816.29 | 3.60% | |
| 10. | Aug 31, 2018 | $53.45 | $0.36 | 2.71% | 2,901.52 | 3.03% |
| 11. | Sep 30, 2018 | $56.84 | 6.34% | 2,913.98 | 0.43% | |
| 12. | Oct 31, 2018 | $58.27 | 2.52% | 2,711.74 | -6.94% | |
| 13. | Nov 30, 2018 | $66.72 | $0.36 | 15.12% | 2,760.17 | 1.79% |
| 14. | Dec 31, 2018 | $64.40 | -3.48% | 2,506.85 | -9.18% | |
| 15. | Jan 31, 2019 | $68.14 | 5.81% | 2,704.10 | 7.87% | |
| 16. | Feb 28, 2019 | $70.26 | $0.36 | 3.64% | 2,784.49 | 2.97% |
| 17. | Mar 31, 2019 | $74.34 | 5.81% | 2,834.40 | 1.79% | |
| 18. | Apr 30, 2019 | $77.68 | 4.49% | 2,945.83 | 3.93% | |
| 19. | May 31, 2019 | $76.06 | $0.36 | -1.62% | 2,752.06 | -6.58% |
| 20. | Jun 30, 2019 | $83.83 | 10.22% | 2,941.76 | 6.89% | |
| 21. | Jul 31, 2019 | $94.69 | 12.95% | 2,980.38 | 1.31% | |
| 22. | Aug 31, 2019 | $96.56 | $0.36 | 2.36% | 2,926.46 | -1.81% |
| 23. | Sep 30, 2019 | $88.42 | -8.43% | 2,976.74 | 1.72% | |
| 24. | Oct 31, 2019 | $84.56 | -4.37% | 3,037.56 | 2.04% | |
| 25. | Nov 30, 2019 | $85.43 | $0.41 | 1.51% | 3,140.98 | 3.40% |
| 26. | Dec 31, 2019 | $87.92 | 2.91% | 3,230.78 | 2.86% | |
| 27. | Jan 31, 2020 | $84.83 | -3.51% | 3,225.52 | -0.16% | |
| 28. | Feb 29, 2020 | $78.43 | $0.41 | -7.06% | 2,954.22 | -8.41% |
| 29. | Mar 31, 2020 | $65.74 | -16.18% | 2,584.59 | -12.51% | |
| 30. | Apr 30, 2020 | $76.73 | 16.72% | 2,912.43 | 12.68% | |
| 31. | May 31, 2020 | $77.99 | $0.41 | 2.18% | 3,044.31 | 4.53% |
| 32. | Jun 30, 2020 | $73.59 | -5.64% | 3,100.29 | 1.84% | |
| 33. | Jul 31, 2020 | $76.53 | 4.00% | 3,271.12 | 5.51% | |
| 34. | Aug 31, 2020 | $84.47 | $0.41 | 10.91% | 3,500.31 | 7.01% |
| 35. | Sep 30, 2020 | $85.92 | 1.72% | 3,363.00 | -3.92% | |
| 36. | Oct 31, 2020 | $86.96 | 1.21% | 3,269.96 | -2.77% | |
| 37. | Nov 30, 2020 | $98.02 | $0.45 | 13.24% | 3,621.63 | 10.75% |
| 38. | Dec 31, 2020 | $106.98 | 9.14% | 3,756.07 | 3.71% | |
| 39. | Jan 31, 2021 | $96.81 | -9.51% | 3,714.24 | -1.11% | |
| 40. | Feb 28, 2021 | $108.03 | $0.45 | 12.05% | 3,811.15 | 2.61% |
| 41. | Mar 31, 2021 | $109.27 | 1.15% | 3,972.89 | 4.24% | |
| 42. | Apr 30, 2021 | $114.49 | 4.78% | 4,181.17 | 5.24% | |
| 43. | May 31, 2021 | $113.88 | $0.45 | -0.14% | 4,204.11 | 0.55% |
| 44. | Jun 30, 2021 | $111.81 | -1.82% | 4,297.50 | 2.22% | |
| 45. | Jul 31, 2021 | $121.43 | 8.60% | 4,395.26 | 2.27% | |
| 46. | Aug 31, 2021 | $117.49 | $0.45 | -2.87% | 4,522.68 | 2.90% |
| 47. | Sep 30, 2021 | $110.31 | -6.11% | 4,307.54 | -4.76% | |
| 48. | Oct 31, 2021 | $106.07 | -3.84% | 4,605.38 | 6.91% | |
| 49. | Nov 30, 2021 | $109.64 | $0.49 | 3.83% | 4,567.00 | -0.83% |
| 50. | Dec 31, 2021 | $116.97 | 6.69% | 4,766.18 | 4.36% | |
| 51. | Jan 31, 2022 | $98.32 | -15.94% | 4,515.55 | -5.26% | |
| 52. | Feb 28, 2022 | $91.79 | $0.49 | -6.14% | 4,373.94 | -3.14% |
| 53. | Mar 31, 2022 | $90.97 | -0.89% | 4,530.41 | 3.58% | |
| 54. | Apr 30, 2022 | $74.64 | -17.95% | 4,131.93 | -8.80% | |
| 55. | May 31, 2022 | $78.50 | $0.49 | 5.83% | 4,132.15 | 0.01% |
| 56. | Jun 30, 2022 | $76.39 | -2.69% | 3,785.38 | -8.39% | |
| 57. | Jul 31, 2022 | $84.78 | 10.98% | 4,130.29 | 9.11% | |
| 58. | Aug 31, 2022 | $84.07 | $0.49 | -0.26% | 3,955.00 | -4.24% |
| 59. | Sep 30, 2022 | $84.26 | 0.23% | 3,585.62 | -9.34% | |
| 60. | Oct 31, 2022 | $86.59 | 2.77% | 3,871.98 | 7.99% | |
| 61. | Nov 30, 2022 | $102.20 | $0.53 | 18.64% | 4,080.11 | 5.38% |
| 62. | Dec 31, 2022 | $99.20 | -2.94% | 3,839.50 | -5.90% | |
| 63. | Jan 31, 2023 | $109.14 | 10.02% | 4,076.60 | 6.18% | |
| 64. | Feb 28, 2023 | $102.09 | $0.53 | -5.97% | 3,970.15 | -2.61% |
| 65. | Mar 31, 2023 | $104.13 | 2.00% | 4,109.31 | 3.51% | |
| 66. | Apr 30, 2023 | $114.29 | 9.76% | 4,169.48 | 1.46% | |
| 67. | May 31, 2023 | $97.64 | $0.53 | -14.10% | 4,179.83 | 0.25% |
| 68. | Jun 30, 2023 | $99.06 | 1.45% | 4,376.86 | 4.71% | |
| 69. | Jul 31, 2023 | $101.57 | 2.53% | 4,588.96 | 4.85% | |
| 70. | Aug 31, 2023 | $97.44 | $0.53 | -3.54% | 4,507.66 | -1.77% |
| 71. | Sep 30, 2023 | $91.27 | -6.33% | 4,288.05 | -4.87% | |
| Average (R): | 1.18% | 0.85% | ||||
| Standard deviation: | 7.65% | 5.13% | ||||
Show all
1 Data in US$ per share of common stock, adjusted for splits and stock dividends.
2 Rate of return on common stock of SBUX during period t
3 Rate of return on S&P 500 (the market portfolio proxy) during period t
Variance and Covariance
Starbucks Corp., calculation of variance and covariance of returns
| t | Date | RSBUX,t | RS&P 500,t | (RSBUX,t–RSBUX)2 | (RS&P 500,t–RS&P 500)2 | (RSBUX,t–RSBUX)×(RS&P 500,t–RS&P 500) |
|---|---|---|---|---|---|---|
| 1. | Nov 30, 2017 | 5.98% | 2.81% | 23.03 | 3.83 | 9.39 |
| 2. | Dec 31, 2017 | -0.67% | 0.98% | 3.45 | 0.02 | -0.24 |
| 3. | Jan 31, 2018 | -1.08% | 5.62% | 5.12 | 22.72 | -10.78 |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| 70. | Aug 31, 2023 | -3.54% | -1.77% | 22.34 | 6.88 | 12.40 |
| 71. | Sep 30, 2023 | -6.33% | -4.87% | 56.47 | 32.75 | 43.01 |
| Total (Σ): | 4,093.36 | 1,838.69 | 1,685.46 | |||
| t | Date | RSBUX,t | RS&P 500,t | (RSBUX,t–RSBUX)2 | (RS&P 500,t–RS&P 500)2 | (RSBUX,t–RSBUX)×(RS&P 500,t–RS&P 500) |
|---|---|---|---|---|---|---|
| 1. | Nov 30, 2017 | 5.98% | 2.81% | 23.03 | 3.83 | 9.39 |
| 2. | Dec 31, 2017 | -0.67% | 0.98% | 3.45 | 0.02 | -0.24 |
| 3. | Jan 31, 2018 | -1.08% | 5.62% | 5.12 | 22.72 | -10.78 |
| 4. | Feb 28, 2018 | 1.04% | -3.89% | 0.02 | 22.52 | 0.68 |
| 5. | Mar 31, 2018 | 1.38% | -2.69% | 0.04 | 12.53 | -0.71 |
| 6. | Apr 30, 2018 | -0.55% | 0.27% | 3.01 | 0.34 | 1.01 |
| 7. | May 31, 2018 | -1.04% | 2.16% | 4.95 | 1.71 | -2.91 |
| 8. | Jun 30, 2018 | -13.80% | 0.48% | 224.44 | 0.13 | 5.50 |
| 9. | Jul 31, 2018 | 7.25% | 3.60% | 36.78 | 7.57 | 16.68 |
| 10. | Aug 31, 2018 | 2.71% | 3.03% | 2.34 | 4.73 | 3.32 |
| 11. | Sep 30, 2018 | 6.34% | 0.43% | 26.63 | 0.18 | -2.18 |
| 12. | Oct 31, 2018 | 2.52% | -6.94% | 1.78 | 60.71 | -10.39 |
| 13. | Nov 30, 2018 | 15.12% | 1.79% | 194.24 | 0.87 | 13.03 |
| 14. | Dec 31, 2018 | -3.48% | -9.18% | 21.71 | 100.58 | 46.73 |
| 15. | Jan 31, 2019 | 5.81% | 7.87% | 21.39 | 49.24 | 32.46 |
| 16. | Feb 28, 2019 | 3.64% | 2.97% | 6.04 | 4.50 | 5.21 |
| 17. | Mar 31, 2019 | 5.81% | 1.79% | 21.39 | 0.89 | 4.35 |
| 18. | Apr 30, 2019 | 4.49% | 3.93% | 10.96 | 9.49 | 10.20 |
| 19. | May 31, 2019 | -1.62% | -6.58% | 7.86 | 55.19 | 20.83 |
| 20. | Jun 30, 2019 | 10.22% | 6.89% | 81.60 | 36.50 | 54.58 |
| 21. | Jul 31, 2019 | 12.95% | 1.31% | 138.59 | 0.21 | 5.43 |
| 22. | Aug 31, 2019 | 2.36% | -1.81% | 1.38 | 7.08 | -3.12 |
| 23. | Sep 30, 2019 | -8.43% | 1.72% | 92.40 | 0.75 | -8.33 |
| 24. | Oct 31, 2019 | -4.37% | 2.04% | 30.78 | 1.42 | -6.61 |
| 25. | Nov 30, 2019 | 1.51% | 3.40% | 0.11 | 6.52 | 0.85 |
| 26. | Dec 31, 2019 | 2.91% | 2.86% | 3.00 | 4.03 | 3.48 |
| 27. | Jan 31, 2020 | -3.51% | -0.16% | 22.06 | 1.03 | 4.76 |
| 28. | Feb 29, 2020 | -7.06% | -8.41% | 67.95 | 85.79 | 76.35 |
| 29. | Mar 31, 2020 | -16.18% | -12.51% | 301.45 | 178.57 | 232.02 |
| 30. | Apr 30, 2020 | 16.72% | 12.68% | 241.34 | 140.02 | 183.83 |
| 31. | May 31, 2020 | 2.18% | 4.53% | 0.99 | 13.52 | 3.66 |
| 32. | Jun 30, 2020 | -5.64% | 1.84% | 46.57 | 0.98 | -6.74 |
| 33. | Jul 31, 2020 | 4.00% | 5.51% | 7.91 | 21.71 | 13.10 |
| 34. | Aug 31, 2020 | 10.91% | 7.01% | 94.64 | 37.89 | 59.88 |
| 35. | Sep 30, 2020 | 1.72% | -3.92% | 0.29 | 22.79 | -2.55 |
| 36. | Oct 31, 2020 | 1.21% | -2.77% | 0.00 | 13.09 | -0.10 |
| 37. | Nov 30, 2020 | 13.24% | 10.75% | 145.29 | 98.08 | 119.37 |
| 38. | Dec 31, 2020 | 9.14% | 3.71% | 63.34 | 8.18 | 22.77 |
| 39. | Jan 31, 2021 | -9.51% | -1.11% | 114.25 | 3.86 | 21.00 |
| 40. | Feb 28, 2021 | 12.05% | 2.61% | 118.21 | 3.09 | 19.11 |
| 41. | Mar 31, 2021 | 1.15% | 4.24% | 0.00 | 11.51 | -0.12 |
| 42. | Apr 30, 2021 | 4.78% | 5.24% | 12.92 | 19.28 | 15.79 |
| 43. | May 31, 2021 | -0.14% | 0.55% | 1.75 | 0.09 | 0.40 |
| 44. | Jun 30, 2021 | -1.82% | 2.22% | 9.00 | 1.88 | -4.11 |
| 45. | Jul 31, 2021 | 8.60% | 2.27% | 55.08 | 2.03 | 10.57 |
| 46. | Aug 31, 2021 | -2.87% | 2.90% | 16.45 | 4.19 | -8.31 |
| 47. | Sep 30, 2021 | -6.11% | -4.76% | 53.19 | 31.45 | 40.90 |
| 48. | Oct 31, 2021 | -3.84% | 6.91% | 25.26 | 36.76 | -30.47 |
| 49. | Nov 30, 2021 | 3.83% | -0.83% | 7.00 | 2.84 | -4.46 |
| 50. | Dec 31, 2021 | 6.69% | 4.36% | 30.29 | 12.32 | 19.32 |
| 51. | Jan 31, 2022 | -15.94% | -5.26% | 293.32 | 37.33 | 104.64 |
| 52. | Feb 28, 2022 | -6.14% | -3.14% | 53.66 | 15.90 | 29.21 |
| 53. | Mar 31, 2022 | -0.89% | 3.58% | 4.31 | 7.43 | -5.66 |
| 54. | Apr 30, 2022 | -17.95% | -8.80% | 366.08 | 93.06 | 184.58 |
| 55. | May 31, 2022 | 5.83% | 0.01% | 21.58 | 0.72 | -3.93 |
| 56. | Jun 30, 2022 | -2.69% | -8.39% | 14.98 | 85.44 | 35.77 |
| 57. | Jul 31, 2022 | 10.98% | 9.11% | 96.06 | 68.23 | 80.96 |
| 58. | Aug 31, 2022 | -0.26% | -4.24% | 2.08 | 25.96 | 7.35 |
| 59. | Sep 30, 2022 | 0.23% | -9.34% | 0.91 | 103.85 | 9.75 |
| 60. | Oct 31, 2022 | 2.77% | 7.99% | 2.51 | 50.91 | 11.29 |
| 61. | Nov 30, 2022 | 18.64% | 5.38% | 304.76 | 20.47 | 78.98 |
| 62. | Dec 31, 2022 | -2.94% | -5.90% | 16.96 | 45.54 | 27.79 |
| 63. | Jan 31, 2023 | 10.02% | 6.18% | 78.11 | 28.35 | 47.05 |
| 64. | Feb 28, 2023 | -5.97% | -2.61% | 51.21 | 11.99 | 24.78 |
| 65. | Mar 31, 2023 | 2.00% | 3.51% | 0.67 | 7.04 | 2.17 |
| 66. | Apr 30, 2023 | 9.76% | 1.46% | 73.53 | 0.38 | 5.26 |
| 67. | May 31, 2023 | -14.10% | 0.25% | 233.68 | 0.36 | 9.22 |
| 68. | Jun 30, 2023 | 1.45% | 4.71% | 0.07 | 14.92 | 1.05 |
| 69. | Jul 31, 2023 | 2.53% | 4.85% | 1.83 | 15.96 | 5.40 |
| 70. | Aug 31, 2023 | -3.54% | -1.77% | 22.34 | 6.88 | 12.40 |
| 71. | Sep 30, 2023 | -6.33% | -4.87% | 56.47 | 32.75 | 43.01 |
| Total (Σ): | 4,093.36 | 1,838.69 | 1,685.46 | |||
Show all
VarianceSBUX = Σ(RSBUX,t–RSBUX)2 ÷ (71 – 1)
= 4,093.36 ÷ (71 – 1)
= 58.48
VarianceS&P 500 = Σ(RS&P 500,t–RS&P 500)2 ÷ (71 – 1)
= 1,838.69 ÷ (71 – 1)
= 26.27
CovarianceSBUX, S&P 500 = Σ(RSBUX,t–RSBUX)×(RS&P 500,t–RS&P 500) ÷ (71 – 1)
= 1,685.46 ÷ (71 – 1)
= 24.08
Systematic Risk (β) Estimation
| VarianceSBUX | 58.48 |
| VarianceS&P 500 | 26.27 |
| CovarianceSBUX, S&P 500 | 24.08 |
| Correlation coefficientSBUX, S&P 5001 | 0.61 |
| βSBUX2 | 0.92 |
| αSBUX3 | 0.40% |
Calculations
1 Correlation coefficientSBUX, S&P 500
= CovarianceSBUX, S&P 500 ÷ (Standard deviationSBUX × Standard deviationS&P 500)
= 24.08 ÷ (7.65% × 5.13%)
= 0.61
2 βSBUX
= CovarianceSBUX, S&P 500 ÷ VarianceS&P 500
= 24.08 ÷ 26.27
= 0.92
3 αSBUX
= AverageSBUX – βSBUX × AverageS&P 500
= 1.18% – 0.92 × 0.85%
= 0.40%
Expected Rate of Return
| Assumptions | ||
| Rate of return on LT Treasury Composite1 | RF | 4.90% |
| Expected rate of return on market portfolio2 | E(RM) | 13.55% |
| Systematic risk (β) of Starbucks Corp. common stock | βSBUX | 0.92 |
| Expected rate of return on Starbucks Corp. common stock3 | E(RSBUX) | 12.83% |
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(RSBUX) = RF + βSBUX [E(RM) – RF]
= 4.90% + 0.92 [13.55% – 4.90%]
= 12.83%