Capital asset pricing model (CAPM) indicates what should be the expected or required rate of return on risky assets like Cisco Systems Inc. common stock.
Rates of Return
| Cisco Systems Inc. (CSCO) | Standard & Poor’s 500 (S&P 500) | |||||
|---|---|---|---|---|---|---|
| t | Date | PriceCSCO,t1 | DividendCSCO,t1 | RCSCO,t2 | PriceS&P 500,t | RS&P 500,t3 |
| Aug 31, 2020 | $42.22 | 3,500.31 | ||||
| 1. | Sep 30, 2020 | $39.39 | -6.70% | 3,363.00 | -3.92% | |
| 2. | Oct 31, 2020 | $35.90 | $0.36 | -7.95% | 3,269.96 | -2.77% |
| 3. | Nov 30, 2020 | $43.02 | 19.83% | 3,621.63 | 10.75% | |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| 70. | Jun 30, 2026 | $117.46 | -2.46% | 7,499.36 | -1.06% | |
| 71. | Jul 31, 2026 | $115.99 | $0.42 | -0.89% | 7,489.72 | -0.13% |
| Average (R): | 1.95% | 1.18% | ||||
| Standard deviation: | 7.61% | 4.48% | ||||
| Cisco Systems Inc. (CSCO) | Standard & Poor’s 500 (S&P 500) | |||||
|---|---|---|---|---|---|---|
| t | Date | PriceCSCO,t1 | DividendCSCO,t1 | RCSCO,t2 | PriceS&P 500,t | RS&P 500,t3 |
| Aug 31, 2020 | $42.22 | 3,500.31 | ||||
| 1. | Sep 30, 2020 | $39.39 | -6.70% | 3,363.00 | -3.92% | |
| 2. | Oct 31, 2020 | $35.90 | $0.36 | -7.95% | 3,269.96 | -2.77% |
| 3. | Nov 30, 2020 | $43.02 | 19.83% | 3,621.63 | 10.75% | |
| 4. | Dec 31, 2020 | $44.75 | 4.02% | 3,756.07 | 3.71% | |
| 5. | Jan 31, 2021 | $44.58 | $0.36 | 0.42% | 3,714.24 | -1.11% |
| 6. | Feb 28, 2021 | $44.87 | 0.65% | 3,811.15 | 2.61% | |
| 7. | Mar 31, 2021 | $51.71 | 15.24% | 3,972.89 | 4.24% | |
| 8. | Apr 30, 2021 | $50.91 | $0.37 | -0.83% | 4,181.17 | 5.24% |
| 9. | May 31, 2021 | $52.90 | 3.91% | 4,204.11 | 0.55% | |
| 10. | Jun 30, 2021 | $53.00 | 0.19% | 4,297.50 | 2.22% | |
| 11. | Jul 31, 2021 | $55.37 | $0.37 | 5.17% | 4,395.26 | 2.27% |
| 12. | Aug 31, 2021 | $59.02 | 6.59% | 4,522.68 | 2.90% | |
| 13. | Sep 30, 2021 | $54.43 | -7.78% | 4,307.54 | -4.76% | |
| 14. | Oct 31, 2021 | $55.97 | $0.37 | 3.51% | 4,605.38 | 6.91% |
| 15. | Nov 30, 2021 | $54.84 | -2.02% | 4,567.00 | -0.83% | |
| 16. | Dec 31, 2021 | $63.37 | 15.55% | 4,766.18 | 4.36% | |
| 17. | Jan 31, 2022 | $55.67 | $0.37 | -11.57% | 4,515.55 | -5.26% |
| 18. | Feb 28, 2022 | $55.77 | 0.18% | 4,373.94 | -3.14% | |
| 19. | Mar 31, 2022 | $55.76 | -0.02% | 4,530.41 | 3.58% | |
| 20. | Apr 30, 2022 | $48.98 | $0.38 | -11.48% | 4,131.93 | -8.80% |
| 21. | May 31, 2022 | $45.05 | -8.02% | 4,132.15 | 0.01% | |
| 22. | Jun 30, 2022 | $42.64 | -5.35% | 3,785.38 | -8.39% | |
| 23. | Jul 31, 2022 | $45.37 | $0.38 | 7.29% | 4,130.29 | 9.11% |
| 24. | Aug 31, 2022 | $44.72 | -1.43% | 3,955.00 | -4.24% | |
| 25. | Sep 30, 2022 | $40.00 | -10.55% | 3,585.62 | -9.34% | |
| 26. | Oct 31, 2022 | $45.43 | $0.38 | 14.52% | 3,871.98 | 7.99% |
| 27. | Nov 30, 2022 | $49.72 | 9.44% | 4,080.11 | 5.38% | |
| 28. | Dec 31, 2022 | $47.64 | -4.18% | 3,839.50 | -5.90% | |
| 29. | Jan 31, 2023 | $48.67 | $0.38 | 2.96% | 4,076.60 | 6.18% |
| 30. | Feb 28, 2023 | $48.42 | -0.51% | 3,970.15 | -2.61% | |
| 31. | Mar 31, 2023 | $52.28 | 7.97% | 4,109.31 | 3.51% | |
| 32. | Apr 30, 2023 | $47.25 | $0.39 | -8.88% | 4,169.48 | 1.46% |
| 33. | May 31, 2023 | $49.67 | 5.12% | 4,179.83 | 0.25% | |
| 34. | Jun 30, 2023 | $51.74 | 4.17% | 4,376.86 | 4.71% | |
| 35. | Jul 31, 2023 | $52.04 | $0.39 | 1.33% | 4,588.96 | 4.85% |
| 36. | Aug 31, 2023 | $57.35 | 10.20% | 4,507.66 | -1.77% | |
| 37. | Sep 30, 2023 | $53.76 | -6.26% | 4,288.05 | -4.87% | |
| 38. | Oct 31, 2023 | $52.13 | $0.39 | -2.31% | 4,193.80 | -2.20% |
| 39. | Nov 30, 2023 | $48.38 | -7.19% | 4,567.80 | 8.92% | |
| 40. | Dec 31, 2023 | $50.52 | 4.42% | 4,769.83 | 4.42% | |
| 41. | Jan 31, 2024 | $50.18 | $0.39 | 0.10% | 4,845.65 | 1.59% |
| 42. | Feb 29, 2024 | $48.37 | -3.61% | 5,096.27 | 5.17% | |
| 43. | Mar 31, 2024 | $49.91 | 3.18% | 5,254.35 | 3.10% | |
| 44. | Apr 30, 2024 | $46.98 | $0.40 | -5.07% | 5,035.69 | -4.16% |
| 45. | May 31, 2024 | $46.50 | -1.02% | 5,277.51 | 4.80% | |
| 46. | Jun 30, 2024 | $47.51 | 2.17% | 5,460.48 | 3.47% | |
| 47. | Jul 31, 2024 | $48.45 | $0.40 | 2.82% | 5,522.30 | 1.13% |
| 48. | Aug 31, 2024 | $50.54 | 4.31% | 5,648.40 | 2.28% | |
| 49. | Sep 30, 2024 | $53.22 | 5.30% | 5,762.48 | 2.02% | |
| 50. | Oct 31, 2024 | $54.77 | $0.40 | 3.66% | 5,705.45 | -0.99% |
| 51. | Nov 30, 2024 | $59.21 | 8.11% | 6,032.38 | 5.73% | |
| 52. | Dec 31, 2024 | $59.20 | -0.02% | 5,881.63 | -2.50% | |
| 53. | Jan 31, 2025 | $60.60 | $0.40 | 3.04% | 6,040.53 | 2.70% |
| 54. | Feb 28, 2025 | $64.11 | 5.79% | 5,954.50 | -1.42% | |
| 55. | Mar 31, 2025 | $61.71 | -3.74% | 5,611.85 | -5.75% | |
| 56. | Apr 30, 2025 | $57.73 | $0.41 | -5.79% | 5,569.06 | -0.76% |
| 57. | May 31, 2025 | $63.04 | 9.20% | 5,911.69 | 6.15% | |
| 58. | Jun 30, 2025 | $69.38 | 10.06% | 6,204.95 | 4.96% | |
| 59. | Jul 31, 2025 | $68.08 | $0.41 | -1.28% | 6,339.39 | 2.17% |
| 60. | Aug 31, 2025 | $69.09 | 1.48% | 6,460.26 | 1.91% | |
| 61. | Sep 30, 2025 | $68.42 | -0.97% | 6,688.46 | 3.53% | |
| 62. | Oct 31, 2025 | $73.11 | $0.41 | 7.45% | 6,840.20 | 2.27% |
| 63. | Nov 30, 2025 | $76.94 | 5.24% | 6,849.09 | 0.13% | |
| 64. | Dec 31, 2025 | $77.03 | 0.12% | 6,845.50 | -0.05% | |
| 65. | Jan 31, 2026 | $78.32 | $0.41 | 2.21% | 6,939.03 | 1.37% |
| 66. | Feb 28, 2026 | $79.46 | 1.46% | 6,878.88 | -0.87% | |
| 67. | Mar 31, 2026 | $77.59 | -2.35% | 6,528.52 | -5.09% | |
| 68. | Apr 30, 2026 | $91.50 | $0.42 | 18.47% | 7,209.01 | 10.42% |
| 69. | May 31, 2026 | $120.42 | 31.61% | 7,580.06 | 5.15% | |
| 70. | Jun 30, 2026 | $117.46 | -2.46% | 7,499.36 | -1.06% | |
| 71. | Jul 31, 2026 | $115.99 | $0.42 | -0.89% | 7,489.72 | -0.13% |
| Average (R): | 1.95% | 1.18% | ||||
| Standard deviation: | 7.61% | 4.48% | ||||
Show all
1 Data in US$ per share of common stock, adjusted for splits and stock dividends.
2 Rate of return on common stock of CSCO during period t
3 Rate of return on S&P 500 (the market portfolio proxy) during period t
Variance and Covariance
| t | Date | RCSCO,t | RS&P 500,t | (RCSCO,t–RCSCO)2 | (RS&P 500,t–RS&P 500)2 | (RCSCO,t–RCSCO)×(RS&P 500,t–RS&P 500) |
|---|---|---|---|---|---|---|
| 1. | Sep 30, 2020 | -6.70% | -3.92% | 74.83 | 26.00 | 44.10 |
| 2. | Oct 31, 2020 | -7.95% | -2.77% | 97.88 | 15.54 | 39.00 |
| 3. | Nov 30, 2020 | 19.83% | 10.75% | 319.89 | 91.75 | 171.32 |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| 70. | Jun 30, 2026 | -2.46% | -1.06% | 19.41 | 5.02 | 9.87 |
| 71. | Jul 31, 2026 | -0.89% | -0.13% | 8.07 | 1.70 | 3.71 |
| Total (Σ): | 4,057.53 | 1,404.81 | 1,543.08 | |||
| t | Date | RCSCO,t | RS&P 500,t | (RCSCO,t–RCSCO)2 | (RS&P 500,t–RS&P 500)2 | (RCSCO,t–RCSCO)×(RS&P 500,t–RS&P 500) |
|---|---|---|---|---|---|---|
| 1. | Sep 30, 2020 | -6.70% | -3.92% | 74.83 | 26.00 | 44.10 |
| 2. | Oct 31, 2020 | -7.95% | -2.77% | 97.88 | 15.54 | 39.00 |
| 3. | Nov 30, 2020 | 19.83% | 10.75% | 319.89 | 91.75 | 171.32 |
| 4. | Dec 31, 2020 | 4.02% | 3.71% | 4.30 | 6.43 | 5.26 |
| 5. | Jan 31, 2021 | 0.42% | -1.11% | 2.32 | 5.24 | 3.49 |
| 6. | Feb 28, 2021 | 0.65% | 2.61% | 1.68 | 2.05 | -1.86 |
| 7. | Mar 31, 2021 | 15.24% | 4.24% | 176.80 | 9.41 | 40.80 |
| 8. | Apr 30, 2021 | -0.83% | 5.24% | 7.72 | 16.54 | -11.30 |
| 9. | May 31, 2021 | 3.91% | 0.55% | 3.85 | 0.39 | -1.23 |
| 10. | Jun 30, 2021 | 0.19% | 2.22% | 3.09 | 1.09 | -1.84 |
| 11. | Jul 31, 2021 | 5.17% | 2.27% | 10.38 | 1.21 | 3.54 |
| 12. | Aug 31, 2021 | 6.59% | 2.90% | 21.57 | 2.97 | 8.00 |
| 13. | Sep 30, 2021 | -7.78% | -4.76% | 94.56 | 35.20 | 57.69 |
| 14. | Oct 31, 2021 | 3.51% | 6.91% | 2.44 | 32.93 | 8.96 |
| 15. | Nov 30, 2021 | -2.02% | -0.83% | 15.73 | 4.04 | 7.97 |
| 16. | Dec 31, 2021 | 15.55% | 4.36% | 185.15 | 10.15 | 43.35 |
| 17. | Jan 31, 2022 | -11.57% | -5.26% | 182.64 | 41.40 | 86.96 |
| 18. | Feb 28, 2022 | 0.18% | -3.14% | 3.13 | 18.59 | 7.62 |
| 19. | Mar 31, 2022 | -0.02% | 3.58% | 3.86 | 5.77 | -4.72 |
| 20. | Apr 30, 2022 | -11.48% | -8.80% | 180.24 | 99.43 | 133.87 |
| 21. | May 31, 2022 | -8.02% | 0.01% | 99.42 | 1.37 | 11.67 |
| 22. | Jun 30, 2022 | -5.35% | -8.39% | 53.25 | 91.54 | 69.82 |
| 23. | Jul 31, 2022 | 7.29% | 9.11% | 28.58 | 62.98 | 42.43 |
| 24. | Aug 31, 2022 | -1.43% | -4.24% | 11.42 | 29.37 | 18.32 |
| 25. | Sep 30, 2022 | -10.55% | -9.34% | 156.30 | 110.57 | 131.46 |
| 26. | Oct 31, 2022 | 14.52% | 7.99% | 158.20 | 46.38 | 85.66 |
| 27. | Nov 30, 2022 | 9.44% | 5.38% | 56.19 | 17.64 | 31.48 |
| 28. | Dec 31, 2022 | -4.18% | -5.90% | 37.59 | 50.03 | 43.36 |
| 29. | Jan 31, 2023 | 2.96% | 6.18% | 1.02 | 25.00 | 5.06 |
| 30. | Feb 28, 2023 | -0.51% | -2.61% | 6.06 | 14.34 | 9.32 |
| 31. | Mar 31, 2023 | 7.97% | 3.51% | 36.29 | 5.43 | 14.03 |
| 32. | Apr 30, 2023 | -8.88% | 1.46% | 117.13 | 0.08 | -3.12 |
| 33. | May 31, 2023 | 5.12% | 0.25% | 10.08 | 0.86 | -2.94 |
| 34. | Jun 30, 2023 | 4.17% | 4.71% | 4.93 | 12.52 | 7.85 |
| 35. | Jul 31, 2023 | 1.33% | 4.85% | 0.38 | 13.47 | -2.25 |
| 36. | Aug 31, 2023 | 10.20% | -1.77% | 68.17 | 8.69 | -24.33 |
| 37. | Sep 30, 2023 | -6.26% | -4.87% | 67.36 | 36.57 | 49.63 |
| 38. | Oct 31, 2023 | -2.31% | -2.20% | 18.10 | 11.38 | 14.35 |
| 39. | Nov 30, 2023 | -7.19% | 8.92% | 83.56 | 59.94 | -70.77 |
| 40. | Dec 31, 2023 | 4.42% | 4.42% | 6.13 | 10.54 | 8.04 |
| 41. | Jan 31, 2024 | 0.10% | 1.59% | 3.42 | 0.17 | -0.76 |
| 42. | Feb 29, 2024 | -3.61% | 5.17% | 30.85 | 15.97 | -22.20 |
| 43. | Mar 31, 2024 | 3.18% | 3.10% | 1.53 | 3.71 | 2.38 |
| 44. | Apr 30, 2024 | -5.07% | -4.16% | 49.23 | 28.49 | 37.45 |
| 45. | May 31, 2024 | -1.02% | 4.80% | 8.82 | 13.15 | -10.77 |
| 46. | Jun 30, 2024 | 2.17% | 3.47% | 0.05 | 5.25 | 0.51 |
| 47. | Jul 31, 2024 | 2.82% | 1.13% | 0.76 | 0.00 | -0.04 |
| 48. | Aug 31, 2024 | 4.31% | 2.28% | 5.60 | 1.23 | 2.62 |
| 49. | Sep 30, 2024 | 5.30% | 2.02% | 11.26 | 0.71 | 2.83 |
| 50. | Oct 31, 2024 | 3.66% | -0.99% | 2.95 | 4.69 | -3.72 |
| 51. | Nov 30, 2024 | 8.11% | 5.73% | 37.94 | 20.74 | 28.05 |
| 52. | Dec 31, 2024 | -0.02% | -2.50% | 3.86 | 13.50 | 7.22 |
| 53. | Jan 31, 2025 | 3.04% | 2.70% | 1.19 | 2.33 | 1.67 |
| 54. | Feb 28, 2025 | 5.79% | -1.42% | 14.78 | 6.76 | -10.00 |
| 55. | Mar 31, 2025 | -3.74% | -5.75% | 32.39 | 48.03 | 39.44 |
| 56. | Apr 30, 2025 | -5.79% | -0.76% | 59.79 | 3.76 | 14.99 |
| 57. | May 31, 2025 | 9.20% | 6.15% | 52.57 | 24.77 | 36.08 |
| 58. | Jun 30, 2025 | 10.06% | 4.96% | 65.77 | 14.33 | 30.69 |
| 59. | Jul 31, 2025 | -1.28% | 2.17% | 10.43 | 0.98 | -3.20 |
| 60. | Aug 31, 2025 | 1.48% | 1.91% | 0.22 | 0.53 | -0.34 |
| 61. | Sep 30, 2025 | -0.97% | 3.53% | 8.51 | 5.55 | -6.87 |
| 62. | Oct 31, 2025 | 7.45% | 2.27% | 30.32 | 1.19 | 6.02 |
| 63. | Nov 30, 2025 | 5.24% | 0.13% | 10.83 | 1.09 | -3.44 |
| 64. | Dec 31, 2025 | 0.12% | -0.05% | 3.35 | 1.51 | 2.25 |
| 65. | Jan 31, 2026 | 2.21% | 1.37% | 0.07 | 0.04 | 0.05 |
| 66. | Feb 28, 2026 | 1.46% | -0.87% | 0.24 | 4.17 | 1.00 |
| 67. | Mar 31, 2026 | -2.35% | -5.09% | 18.50 | 39.30 | 26.96 |
| 68. | Apr 30, 2026 | 18.47% | 10.42% | 272.96 | 85.52 | 152.78 |
| 69. | May 31, 2026 | 31.61% | 5.15% | 879.66 | 15.77 | 117.78 |
| 70. | Jun 30, 2026 | -2.46% | -1.06% | 19.41 | 5.02 | 9.87 |
| 71. | Jul 31, 2026 | -0.89% | -0.13% | 8.07 | 1.70 | 3.71 |
| Total (Σ): | 4,057.53 | 1,404.81 | 1,543.08 | |||
Show all
VarianceCSCO = Σ(RCSCO,t–RCSCO)2 ÷ (71 – 1)
= 4,057.53 ÷ (71 – 1)
= 57.96
VarianceS&P 500 = Σ(RS&P 500,t–RS&P 500)2 ÷ (71 – 1)
= 1,404.81 ÷ (71 – 1)
= 20.07
CovarianceCSCO, S&P 500 = Σ(RCSCO,t–RCSCO)×(RS&P 500,t–RS&P 500) ÷ (71 – 1)
= 1,543.08 ÷ (71 – 1)
= 22.04
Systematic Risk (β) Estimation
| VarianceCSCO | 57.96 |
| VarianceS&P 500 | 20.07 |
| CovarianceCSCO, S&P 500 | 22.04 |
| Correlation coefficientCSCO, S&P 5001 | 0.65 |
| βCSCO2 | 1.10 |
| αCSCO3 | 0.66% |
Calculations
1 Correlation coefficientCSCO, S&P 500
= CovarianceCSCO, S&P 500 ÷ (Standard deviationCSCO × Standard deviationS&P 500)
= 22.04 ÷ (7.61% × 4.48%)
= 0.65
2 βCSCO
= CovarianceCSCO, S&P 500 ÷ VarianceS&P 500
= 22.04 ÷ 20.07
= 1.10
3 αCSCO
= AverageCSCO – βCSCO × AverageS&P 500
= 1.95% – 1.10 × 1.18%
= 0.66%
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 Cisco Systems Inc. common stock | βCSCO | 1.10 |
| Expected rate of return on Cisco Systems Inc. common stock3 | E(RCSCO) | 18.66% |
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(RCSCO) = RF + βCSCO [E(RM) – RF]
= 5.20% + 1.10 [17.45% – 5.20%]
= 18.66%