Capital asset pricing model (CAPM) indicates what should be the expected or required rate of return on risky assets like Super Micro Computer Inc. common stock.
Rates of Return
| Super Micro Computer Inc. (SMCI) | Standard & Poor’s 500 (S&P 500) | |||||
|---|---|---|---|---|---|---|
| t | Date | PriceSMCI,t1 | DividendSMCI,t1 | RSMCI,t2 | PriceS&P 500,t | RS&P 500,t3 |
| Jul 31, 2020 | $3.03 | 3,271.12 | ||||
| 1. | Aug 31, 2020 | $2.74 | -9.57% | 3,500.31 | 7.01% | |
| 2. | Sep 30, 2020 | $2.64 | -3.65% | 3,363.00 | -3.92% | |
| 3. | Oct 31, 2020 | $2.27 | -14.02% | 3,269.96 | -2.77% | |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| 70. | May 31, 2026 | $46.09 | 68.21% | 7,580.06 | 5.15% | |
| 71. | Jun 30, 2026 | $29.33 | -36.36% | 7,499.36 | -1.06% | |
| Average (R): | 6.09% | 1.28% | ||||
| Standard deviation: | 26.32% | 4.53% | ||||
| Super Micro Computer Inc. (SMCI) | Standard & Poor’s 500 (S&P 500) | |||||
|---|---|---|---|---|---|---|
| t | Date | PriceSMCI,t1 | DividendSMCI,t1 | RSMCI,t2 | PriceS&P 500,t | RS&P 500,t3 |
| Jul 31, 2020 | $3.03 | 3,271.12 | ||||
| 1. | Aug 31, 2020 | $2.74 | -9.57% | 3,500.31 | 7.01% | |
| 2. | Sep 30, 2020 | $2.64 | -3.65% | 3,363.00 | -3.92% | |
| 3. | Oct 31, 2020 | $2.27 | -14.02% | 3,269.96 | -2.77% | |
| 4. | Nov 30, 2020 | $2.82 | 24.23% | 3,621.63 | 10.75% | |
| 5. | Dec 31, 2020 | $3.17 | 12.41% | 3,756.07 | 3.71% | |
| 6. | Jan 31, 2021 | $3.10 | -2.21% | 3,714.24 | -1.11% | |
| 7. | Feb 28, 2021 | $3.26 | 5.16% | 3,811.15 | 2.61% | |
| 8. | Mar 31, 2021 | $3.91 | 19.94% | 3,972.89 | 4.24% | |
| 9. | Apr 30, 2021 | $3.70 | -5.37% | 4,181.17 | 5.24% | |
| 10. | May 31, 2021 | $3.47 | -6.22% | 4,204.11 | 0.55% | |
| 11. | Jun 30, 2021 | $3.52 | 1.44% | 4,297.50 | 2.22% | |
| 12. | Jul 31, 2021 | $3.80 | 7.95% | 4,395.26 | 2.27% | |
| 13. | Aug 31, 2021 | $3.65 | -3.95% | 4,522.68 | 2.90% | |
| 14. | Sep 30, 2021 | $3.66 | 0.27% | 4,307.54 | -4.76% | |
| 15. | Oct 31, 2021 | $3.54 | -3.28% | 4,605.38 | 6.91% | |
| 16. | Nov 30, 2021 | $4.14 | 16.95% | 4,567.00 | -0.83% | |
| 17. | Dec 31, 2021 | $4.40 | 6.28% | 4,766.18 | 4.36% | |
| 18. | Jan 31, 2022 | $4.05 | -7.95% | 4,515.55 | -5.26% | |
| 19. | Feb 28, 2022 | $3.93 | -2.96% | 4,373.94 | -3.14% | |
| 20. | Mar 31, 2022 | $3.81 | -3.05% | 4,530.41 | 3.58% | |
| 21. | Apr 30, 2022 | $4.21 | 10.50% | 4,131.93 | -8.80% | |
| 22. | May 31, 2022 | $5.01 | 19.00% | 4,132.15 | 0.01% | |
| 23. | Jun 30, 2022 | $4.04 | -19.36% | 3,785.38 | -8.39% | |
| 24. | Jul 31, 2022 | $5.40 | 33.66% | 4,130.29 | 9.11% | |
| 25. | Aug 31, 2022 | $6.51 | 20.56% | 3,955.00 | -4.24% | |
| 26. | Sep 30, 2022 | $5.51 | -15.36% | 3,585.62 | -9.34% | |
| 27. | Oct 31, 2022 | $6.96 | 26.32% | 3,871.98 | 7.99% | |
| 28. | Nov 30, 2022 | $9.02 | 29.60% | 4,080.11 | 5.38% | |
| 29. | Dec 31, 2022 | $8.21 | -8.98% | 3,839.50 | -5.90% | |
| 30. | Jan 31, 2023 | $7.23 | -11.94% | 4,076.60 | 6.18% | |
| 31. | Feb 28, 2023 | $9.80 | 35.55% | 3,970.15 | -2.61% | |
| 32. | Mar 31, 2023 | $10.66 | 8.78% | 4,109.31 | 3.51% | |
| 33. | Apr 30, 2023 | $10.54 | -1.13% | 4,169.48 | 1.46% | |
| 34. | May 31, 2023 | $22.40 | 112.52% | 4,179.83 | 0.25% | |
| 35. | Jun 30, 2023 | $24.93 | 11.29% | 4,376.86 | 4.71% | |
| 36. | Jul 31, 2023 | $33.03 | 32.49% | 4,588.96 | 4.85% | |
| 37. | Aug 31, 2023 | $27.51 | -16.71% | 4,507.66 | -1.77% | |
| 38. | Sep 30, 2023 | $27.42 | -0.33% | 4,288.05 | -4.87% | |
| 39. | Oct 31, 2023 | $23.95 | -12.65% | 4,193.80 | -2.20% | |
| 40. | Nov 30, 2023 | $27.35 | 14.20% | 4,567.80 | 8.92% | |
| 41. | Dec 31, 2023 | $28.43 | 3.95% | 4,769.83 | 4.42% | |
| 42. | Jan 31, 2024 | $52.96 | 86.28% | 4,845.65 | 1.59% | |
| 43. | Feb 29, 2024 | $86.61 | 63.54% | 5,096.27 | 5.17% | |
| 44. | Mar 31, 2024 | $101.00 | 16.61% | 5,254.35 | 3.10% | |
| 45. | Apr 30, 2024 | $85.88 | -14.97% | 5,035.69 | -4.16% | |
| 46. | May 31, 2024 | $78.45 | -8.65% | 5,277.51 | 4.80% | |
| 47. | Jun 30, 2024 | $81.94 | 4.45% | 5,460.48 | 3.47% | |
| 48. | Jul 31, 2024 | $70.17 | -14.36% | 5,522.30 | 1.13% | |
| 49. | Aug 31, 2024 | $43.77 | -37.62% | 5,648.40 | 2.28% | |
| 50. | Sep 30, 2024 | $41.64 | -4.87% | 5,762.48 | 2.02% | |
| 51. | Oct 31, 2024 | $29.11 | -30.09% | 5,705.45 | -0.99% | |
| 52. | Nov 30, 2024 | $32.64 | 12.13% | 6,032.38 | 5.73% | |
| 53. | Dec 31, 2024 | $30.48 | -6.62% | 5,881.63 | -2.50% | |
| 54. | Jan 31, 2025 | $28.52 | -6.43% | 6,040.53 | 2.70% | |
| 55. | Feb 28, 2025 | $41.46 | 45.37% | 5,954.50 | -1.42% | |
| 56. | Mar 31, 2025 | $34.24 | -17.41% | 5,611.85 | -5.75% | |
| 57. | Apr 30, 2025 | $31.86 | -6.95% | 5,569.06 | -0.76% | |
| 58. | May 31, 2025 | $40.02 | 25.61% | 5,911.69 | 6.15% | |
| 59. | Jun 30, 2025 | $49.01 | 22.46% | 6,204.95 | 4.96% | |
| 60. | Jul 31, 2025 | $58.97 | 20.32% | 6,339.39 | 2.17% | |
| 61. | Aug 31, 2025 | $41.54 | -29.56% | 6,460.26 | 1.91% | |
| 62. | Sep 30, 2025 | $47.94 | 15.41% | 6,688.46 | 3.53% | |
| 63. | Oct 31, 2025 | $51.96 | 8.39% | 6,840.20 | 2.27% | |
| 64. | Nov 30, 2025 | $33.85 | -34.85% | 6,849.09 | 0.13% | |
| 65. | Dec 31, 2025 | $29.27 | -13.53% | 6,845.50 | -0.05% | |
| 66. | Jan 31, 2026 | $29.11 | -0.55% | 6,939.03 | 1.37% | |
| 67. | Feb 28, 2026 | $32.39 | 11.27% | 6,878.88 | -0.87% | |
| 68. | Mar 31, 2026 | $22.77 | -29.70% | 6,528.52 | -5.09% | |
| 69. | Apr 30, 2026 | $27.40 | 20.33% | 7,209.01 | 10.42% | |
| 70. | May 31, 2026 | $46.09 | 68.21% | 7,580.06 | 5.15% | |
| 71. | Jun 30, 2026 | $29.33 | -36.36% | 7,499.36 | -1.06% | |
| Average (R): | 6.09% | 1.28% | ||||
| Standard deviation: | 26.32% | 4.53% | ||||
Show all
1 Data in US$ per share of common stock, adjusted for splits and stock dividends.
2 Rate of return on common stock of SMCI during period t
3 Rate of return on S&P 500 (the market portfolio proxy) during period t
Variance and Covariance
| t | Date | RSMCI,t | RS&P 500,t | (RSMCI,t–RSMCI)2 | (RS&P 500,t–RS&P 500)2 | (RSMCI,t–RSMCI)×(RS&P 500,t–RS&P 500) |
|---|---|---|---|---|---|---|
| 1. | Aug 31, 2020 | -9.57% | 7.01% | 245.19 | 32.84 | -89.73 |
| 2. | Sep 30, 2020 | -3.65% | -3.92% | 94.81 | 27.03 | 50.62 |
| 3. | Oct 31, 2020 | -14.02% | -2.77% | 404.12 | 16.34 | 81.27 |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| 70. | May 31, 2026 | 68.21% | 5.15% | 3,859.41 | 14.98 | 240.47 |
| 71. | Jun 30, 2026 | -36.36% | -1.06% | 1,802.10 | 5.48 | 99.37 |
| Total (Σ): | 48,501.22 | 1,436.39 | 2,658.71 | |||
| t | Date | RSMCI,t | RS&P 500,t | (RSMCI,t–RSMCI)2 | (RS&P 500,t–RS&P 500)2 | (RSMCI,t–RSMCI)×(RS&P 500,t–RS&P 500) |
|---|---|---|---|---|---|---|
| 1. | Aug 31, 2020 | -9.57% | 7.01% | 245.19 | 32.84 | -89.73 |
| 2. | Sep 30, 2020 | -3.65% | -3.92% | 94.81 | 27.03 | 50.62 |
| 3. | Oct 31, 2020 | -14.02% | -2.77% | 404.12 | 16.34 | 81.27 |
| 4. | Nov 30, 2020 | 24.23% | 10.75% | 329.12 | 89.84 | 171.95 |
| 5. | Dec 31, 2020 | 12.41% | 3.71% | 39.99 | 5.93 | 15.40 |
| 6. | Jan 31, 2021 | -2.21% | -1.11% | 68.82 | 5.71 | 19.83 |
| 7. | Feb 28, 2021 | 5.16% | 2.61% | 0.86 | 1.78 | -1.23 |
| 8. | Mar 31, 2021 | 19.94% | 4.24% | 191.85 | 8.81 | 41.10 |
| 9. | Apr 30, 2021 | -5.37% | 5.24% | 131.29 | 15.73 | -45.45 |
| 10. | May 31, 2021 | -6.22% | 0.55% | 151.38 | 0.53 | 8.95 |
| 11. | Jun 30, 2021 | 1.44% | 2.22% | 21.59 | 0.89 | -4.39 |
| 12. | Jul 31, 2021 | 7.95% | 2.27% | 3.49 | 1.00 | 1.86 |
| 13. | Aug 31, 2021 | -3.95% | 2.90% | 100.70 | 2.63 | -16.28 |
| 14. | Sep 30, 2021 | 0.27% | -4.76% | 33.80 | 36.40 | 35.07 |
| 15. | Oct 31, 2021 | -3.28% | 6.91% | 87.73 | 31.79 | -52.81 |
| 16. | Nov 30, 2021 | 16.95% | -0.83% | 117.97 | 4.45 | -22.91 |
| 17. | Dec 31, 2021 | 6.28% | 4.36% | 0.04 | 9.52 | 0.59 |
| 18. | Jan 31, 2022 | -7.95% | -5.26% | 197.18 | 42.70 | 91.76 |
| 19. | Feb 28, 2022 | -2.96% | -3.14% | 81.91 | 19.47 | 39.93 |
| 20. | Mar 31, 2022 | -3.05% | 3.58% | 83.56 | 5.29 | -21.03 |
| 21. | Apr 30, 2022 | 10.50% | -8.80% | 19.46 | 101.44 | -44.43 |
| 22. | May 31, 2022 | 19.00% | 0.01% | 166.79 | 1.62 | -16.41 |
| 23. | Jun 30, 2022 | -19.36% | -8.39% | 647.64 | 93.48 | 246.05 |
| 24. | Jul 31, 2022 | 33.66% | 9.11% | 760.43 | 61.39 | 216.07 |
| 25. | Aug 31, 2022 | 20.56% | -4.24% | 209.32 | 30.47 | -79.87 |
| 26. | Sep 30, 2022 | -15.36% | -9.34% | 460.04 | 112.70 | 227.69 |
| 27. | Oct 31, 2022 | 26.32% | 7.99% | 409.18 | 45.03 | 135.73 |
| 28. | Nov 30, 2022 | 29.60% | 5.38% | 552.73 | 16.80 | 96.37 |
| 29. | Dec 31, 2022 | -8.98% | -5.90% | 227.03 | 51.46 | 108.09 |
| 30. | Jan 31, 2023 | -11.94% | 6.18% | 324.87 | 24.00 | -88.30 |
| 31. | Feb 28, 2023 | 35.55% | -2.61% | 867.82 | 15.11 | -114.52 |
| 32. | Mar 31, 2023 | 8.78% | 3.51% | 7.23 | 4.97 | 5.99 |
| 33. | Apr 30, 2023 | -1.13% | 1.46% | 52.03 | 0.04 | -1.36 |
| 34. | May 31, 2023 | 112.52% | 0.25% | 11,328.66 | 1.06 | -109.42 |
| 35. | Jun 30, 2023 | 11.29% | 4.71% | 27.11 | 11.82 | 17.90 |
| 36. | Jul 31, 2023 | 32.49% | 4.85% | 697.14 | 12.74 | 94.25 |
| 37. | Aug 31, 2023 | -16.71% | -1.77% | 519.82 | 9.29 | 69.49 |
| 38. | Sep 30, 2023 | -0.33% | -4.87% | 41.15 | 37.80 | 39.44 |
| 39. | Oct 31, 2023 | -12.65% | -2.20% | 351.28 | 12.07 | 65.12 |
| 40. | Nov 30, 2023 | 14.20% | 8.92% | 65.75 | 58.40 | 61.96 |
| 41. | Dec 31, 2023 | 3.95% | 4.42% | 4.57 | 9.90 | -6.73 |
| 42. | Jan 31, 2024 | 86.28% | 1.59% | 6,431.17 | 0.10 | 25.13 |
| 43. | Feb 29, 2024 | 63.54% | 5.17% | 3,300.61 | 15.18 | 223.82 |
| 44. | Mar 31, 2024 | 16.61% | 3.10% | 110.82 | 3.33 | 19.22 |
| 45. | Apr 30, 2024 | -14.97% | -4.16% | 443.43 | 29.57 | 114.51 |
| 46. | May 31, 2024 | -8.65% | 4.80% | 217.24 | 12.43 | -51.97 |
| 47. | Jun 30, 2024 | 4.45% | 3.47% | 2.69 | 4.80 | -3.59 |
| 48. | Jul 31, 2024 | -14.36% | 1.13% | 418.27 | 0.02 | 2.95 |
| 49. | Aug 31, 2024 | -37.62% | 2.28% | 1,910.60 | 1.01 | -44.03 |
| 50. | Sep 30, 2024 | -4.87% | 2.02% | 119.99 | 0.55 | -8.14 |
| 51. | Oct 31, 2024 | -30.09% | -0.99% | 1,308.91 | 5.13 | 81.98 |
| 52. | Nov 30, 2024 | 12.13% | 5.73% | 36.47 | 19.84 | 26.90 |
| 53. | Dec 31, 2024 | -6.62% | -2.50% | 161.42 | 14.25 | 47.97 |
| 54. | Jan 31, 2025 | -6.43% | 2.70% | 156.70 | 2.03 | -17.84 |
| 55. | Feb 28, 2025 | 45.37% | -1.42% | 1,543.24 | 7.29 | -106.09 |
| 56. | Mar 31, 2025 | -17.41% | -5.75% | 552.34 | 49.43 | 165.24 |
| 57. | Apr 30, 2025 | -6.95% | -0.76% | 170.00 | 4.16 | 26.58 |
| 58. | May 31, 2025 | 25.61% | 6.15% | 381.21 | 23.78 | 95.20 |
| 59. | Jun 30, 2025 | 22.46% | 4.96% | 268.18 | 13.58 | 60.34 |
| 60. | Jul 31, 2025 | 20.32% | 2.17% | 202.63 | 0.79 | 12.67 |
| 61. | Aug 31, 2025 | -29.56% | 1.91% | 1,270.56 | 0.40 | -22.47 |
| 62. | Sep 30, 2025 | 15.41% | 3.53% | 86.85 | 5.09 | 21.03 |
| 63. | Oct 31, 2025 | 8.39% | 2.27% | 5.28 | 0.98 | 2.28 |
| 64. | Nov 30, 2025 | -34.85% | 0.13% | 1,676.19 | 1.31 | 46.93 |
| 65. | Dec 31, 2025 | -13.53% | -0.05% | 384.86 | 1.77 | 26.07 |
| 66. | Jan 31, 2026 | -0.55% | 1.37% | 44.01 | 0.01 | -0.60 |
| 67. | Feb 28, 2026 | 11.27% | -0.87% | 26.83 | 4.59 | -11.10 |
| 68. | Mar 31, 2026 | -29.70% | -5.09% | 1,280.79 | 40.57 | 227.95 |
| 69. | Apr 30, 2026 | 20.33% | 10.42% | 202.96 | 83.67 | 130.31 |
| 70. | May 31, 2026 | 68.21% | 5.15% | 3,859.41 | 14.98 | 240.47 |
| 71. | Jun 30, 2026 | -36.36% | -1.06% | 1,802.10 | 5.48 | 99.37 |
| Total (Σ): | 48,501.22 | 1,436.39 | 2,658.71 | |||
Show all
VarianceSMCI = Σ(RSMCI,t–RSMCI)2 ÷ (71 – 1)
= 48,501.22 ÷ (71 – 1)
= 692.87
VarianceS&P 500 = Σ(RS&P 500,t–RS&P 500)2 ÷ (71 – 1)
= 1,436.39 ÷ (71 – 1)
= 20.52
CovarianceSMCI, S&P 500 = Σ(RSMCI,t–RSMCI)×(RS&P 500,t–RS&P 500) ÷ (71 – 1)
= 2,658.71 ÷ (71 – 1)
= 37.98
Systematic Risk (β) Estimation
| VarianceSMCI | 692.87 |
| VarianceS&P 500 | 20.52 |
| CovarianceSMCI, S&P 500 | 37.98 |
| Correlation coefficientSMCI, S&P 5001 | 0.32 |
| βSMCI2 | 1.85 |
| αSMCI3 | 3.73% |
Calculations
1 Correlation coefficientSMCI, S&P 500
= CovarianceSMCI, S&P 500 ÷ (Standard deviationSMCI × Standard deviationS&P 500)
= 37.98 ÷ (26.32% × 4.53%)
= 0.32
2 βSMCI
= CovarianceSMCI, S&P 500 ÷ VarianceS&P 500
= 37.98 ÷ 20.52
= 1.85
3 αSMCI
= AverageSMCI – βSMCI × AverageS&P 500
= 6.09% – 1.85 × 1.28%
= 3.73%
Expected Rate of Return
| Assumptions | ||
| Rate of return on LT Treasury Composite1 | RF | 5.20% |
| Expected rate of return on market portfolio2 | E(RM) | 17.45% |
| Systematic risk (β) of Super Micro Computer Inc. common stock | βSMCI | 1.85 |
| Expected rate of return on Super Micro Computer Inc. common stock3 | E(RSMCI) | 27.88% |
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(RSMCI) = RF + βSMCI [E(RM) – RF]
= 5.20% + 1.85 [17.45% – 5.20%]
= 27.88%