Capital asset pricing model (CAPM) indicates what should be the expected or required rate of return on risky assets like Nike Inc. common stock.
Rates of Return
| Nike Inc. (NKE) | Standard & Poor’s 500 (S&P 500) | |||||
|---|---|---|---|---|---|---|
| t | Date | PriceNKE,t1 | DividendNKE,t1 | RNKE,t2 | PriceS&P 500,t | RS&P 500,t3 |
| Jun 30, 2020 | $98.05 | 3,100.29 | ||||
| 1. | Jul 31, 2020 | $97.61 | -0.45% | 3,271.12 | 5.51% | |
| 2. | Aug 31, 2020 | $111.89 | $0.245 | 14.88% | 3,500.31 | 7.01% |
| 3. | Sep 30, 2020 | $125.54 | 12.20% | 3,363.00 | -3.92% | |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| 70. | Apr 30, 2026 | $44.36 | -16.02% | 7,209.01 | 10.42% | |
| 71. | May 31, 2026 | $46.23 | 4.22% | 7,580.06 | 5.15% | |
| Average (R): | -0.50% | 1.37% | ||||
| Standard deviation: | 9.26% | 4.55% | ||||
| Nike Inc. (NKE) | Standard & Poor’s 500 (S&P 500) | |||||
|---|---|---|---|---|---|---|
| t | Date | PriceNKE,t1 | DividendNKE,t1 | RNKE,t2 | PriceS&P 500,t | RS&P 500,t3 |
| Jun 30, 2020 | $98.05 | 3,100.29 | ||||
| 1. | Jul 31, 2020 | $97.61 | -0.45% | 3,271.12 | 5.51% | |
| 2. | Aug 31, 2020 | $111.89 | $0.245 | 14.88% | 3,500.31 | 7.01% |
| 3. | Sep 30, 2020 | $125.54 | 12.20% | 3,363.00 | -3.92% | |
| 4. | Oct 31, 2020 | $120.08 | -4.35% | 3,269.96 | -2.77% | |
| 5. | Nov 30, 2020 | $134.70 | 12.18% | 3,621.63 | 10.75% | |
| 6. | Dec 31, 2020 | $141.47 | $0.275 | 5.23% | 3,756.07 | 3.71% |
| 7. | Jan 31, 2021 | $133.59 | -5.57% | 3,714.24 | -1.11% | |
| 8. | Feb 28, 2021 | $134.78 | $0.275 | 1.10% | 3,811.15 | 2.61% |
| 9. | Mar 31, 2021 | $132.89 | -1.40% | 3,972.89 | 4.24% | |
| 10. | Apr 30, 2021 | $132.62 | -0.20% | 4,181.17 | 5.24% | |
| 11. | May 31, 2021 | $136.46 | $0.275 | 3.10% | 4,204.11 | 0.55% |
| 12. | Jun 30, 2021 | $154.49 | 13.21% | 4,297.50 | 2.22% | |
| 13. | Jul 31, 2021 | $167.51 | 8.43% | 4,395.26 | 2.27% | |
| 14. | Aug 31, 2021 | $164.74 | $0.275 | -1.49% | 4,522.68 | 2.90% |
| 15. | Sep 30, 2021 | $145.23 | -11.84% | 4,307.54 | -4.76% | |
| 16. | Oct 31, 2021 | $167.29 | 15.19% | 4,605.38 | 6.91% | |
| 17. | Nov 30, 2021 | $169.24 | 1.17% | 4,567.00 | -0.83% | |
| 18. | Dec 31, 2021 | $166.67 | $0.305 | -1.34% | 4,766.18 | 4.36% |
| 19. | Jan 31, 2022 | $148.07 | -11.16% | 4,515.55 | -5.26% | |
| 20. | Feb 28, 2022 | $136.55 | -7.78% | 4,373.94 | -3.14% | |
| 21. | Mar 31, 2022 | $134.56 | $0.305 | -1.23% | 4,530.41 | 3.58% |
| 22. | Apr 30, 2022 | $124.70 | -7.33% | 4,131.93 | -8.80% | |
| 23. | May 31, 2022 | $118.85 | -4.69% | 4,132.15 | 0.01% | |
| 24. | Jun 30, 2022 | $102.20 | $0.305 | -13.75% | 3,785.38 | -8.39% |
| 25. | Jul 31, 2022 | $114.92 | 12.45% | 4,130.29 | 9.11% | |
| 26. | Aug 31, 2022 | $106.45 | -7.37% | 3,955.00 | -4.24% | |
| 27. | Sep 30, 2022 | $83.12 | $0.305 | -21.63% | 3,585.62 | -9.34% |
| 28. | Oct 31, 2022 | $92.68 | 11.50% | 3,871.98 | 7.99% | |
| 29. | Nov 30, 2022 | $109.69 | 18.35% | 4,080.11 | 5.38% | |
| 30. | Dec 31, 2022 | $117.01 | $0.34 | 6.98% | 3,839.50 | -5.90% |
| 31. | Jan 31, 2023 | $127.33 | 8.82% | 4,076.60 | 6.18% | |
| 32. | Feb 28, 2023 | $118.79 | -6.71% | 3,970.15 | -2.61% | |
| 33. | Mar 31, 2023 | $122.64 | $0.34 | 3.53% | 4,109.31 | 3.51% |
| 34. | Apr 30, 2023 | $126.72 | 3.33% | 4,169.48 | 1.46% | |
| 35. | May 31, 2023 | $105.26 | -16.93% | 4,179.83 | 0.25% | |
| 36. | Jun 30, 2023 | $110.37 | $0.34 | 5.18% | 4,376.86 | 4.71% |
| 37. | Jul 31, 2023 | $110.39 | 0.02% | 4,588.96 | 4.85% | |
| 38. | Aug 31, 2023 | $101.71 | -7.86% | 4,507.66 | -1.77% | |
| 39. | Sep 30, 2023 | $95.62 | $0.34 | -5.65% | 4,288.05 | -4.87% |
| 40. | Oct 31, 2023 | $102.77 | 7.48% | 4,193.80 | -2.20% | |
| 41. | Nov 30, 2023 | $110.27 | 7.30% | 4,567.80 | 8.92% | |
| 42. | Dec 31, 2023 | $108.57 | $0.37 | -1.21% | 4,769.83 | 4.42% |
| 43. | Jan 31, 2024 | $101.53 | -6.48% | 4,845.65 | 1.59% | |
| 44. | Feb 29, 2024 | $103.93 | 2.36% | 5,096.27 | 5.17% | |
| 45. | Mar 31, 2024 | $93.98 | $0.37 | -9.22% | 5,254.35 | 3.10% |
| 46. | Apr 30, 2024 | $92.26 | -1.83% | 5,035.69 | -4.16% | |
| 47. | May 31, 2024 | $95.05 | 3.02% | 5,277.51 | 4.80% | |
| 48. | Jun 30, 2024 | $75.37 | $0.37 | -20.32% | 5,460.48 | 3.47% |
| 49. | Jul 31, 2024 | $74.86 | -0.68% | 5,522.30 | 1.13% | |
| 50. | Aug 31, 2024 | $83.32 | 11.30% | 5,648.40 | 2.28% | |
| 51. | Sep 30, 2024 | $88.40 | $0.37 | 6.54% | 5,762.48 | 2.02% |
| 52. | Oct 31, 2024 | $77.13 | -12.75% | 5,705.45 | -0.99% | |
| 53. | Nov 30, 2024 | $78.77 | 2.13% | 6,032.38 | 5.73% | |
| 54. | Dec 31, 2024 | $75.67 | $0.40 | -3.43% | 5,881.63 | -2.50% |
| 55. | Jan 31, 2025 | $76.90 | 1.63% | 6,040.53 | 2.70% | |
| 56. | Feb 28, 2025 | $79.43 | 3.29% | 5,954.50 | -1.42% | |
| 57. | Mar 31, 2025 | $63.48 | $0.40 | -19.58% | 5,611.85 | -5.75% |
| 58. | Apr 30, 2025 | $56.40 | -11.15% | 5,569.06 | -0.76% | |
| 59. | May 31, 2025 | $60.59 | 7.43% | 5,911.69 | 6.15% | |
| 60. | Jun 30, 2025 | $71.04 | $0.40 | 17.91% | 6,204.95 | 4.96% |
| 61. | Jul 31, 2025 | $74.69 | 5.14% | 6,339.39 | 2.17% | |
| 62. | Aug 31, 2025 | $77.37 | 3.59% | 6,460.26 | 1.91% | |
| 63. | Sep 30, 2025 | $69.73 | $0.40 | -9.36% | 6,688.46 | 3.53% |
| 64. | Oct 31, 2025 | $64.59 | -7.37% | 6,840.20 | 2.27% | |
| 65. | Nov 30, 2025 | $64.63 | 0.06% | 6,849.09 | 0.13% | |
| 66. | Dec 31, 2025 | $63.71 | $0.41 | -0.79% | 6,845.50 | -0.05% |
| 67. | Jan 31, 2026 | $61.81 | -2.98% | 6,939.03 | 1.37% | |
| 68. | Feb 28, 2026 | $62.18 | 0.60% | 6,878.88 | -0.87% | |
| 69. | Mar 31, 2026 | $52.82 | $0.41 | -14.39% | 6,528.52 | -5.09% |
| 70. | Apr 30, 2026 | $44.36 | -16.02% | 7,209.01 | 10.42% | |
| 71. | May 31, 2026 | $46.23 | 4.22% | 7,580.06 | 5.15% | |
| Average (R): | -0.50% | 1.37% | ||||
| Standard deviation: | 9.26% | 4.55% | ||||
Show all
1 Data in US$ per share of common stock, adjusted for splits and stock dividends.
2 Rate of return on common stock of NKE during period t
3 Rate of return on S&P 500 (the market portfolio proxy) during period t
Variance and Covariance
| t | Date | RNKE,t | RS&P 500,t | (RNKE,t–RNKE)2 | (RS&P 500,t–RS&P 500)2 | (RNKE,t–RNKE)×(RS&P 500,t–RS&P 500) |
|---|---|---|---|---|---|---|
| 1. | Jul 31, 2020 | -0.45% | 5.51% | 0.00 | 17.15 | 0.21 |
| 2. | Aug 31, 2020 | 14.88% | 7.01% | 236.55 | 31.78 | 86.71 |
| 3. | Sep 30, 2020 | 12.20% | -3.92% | 161.27 | 28.00 | -67.20 |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| 70. | Apr 30, 2026 | -16.02% | 10.42% | 240.78 | 81.98 | -140.50 |
| 71. | May 31, 2026 | 4.22% | 5.15% | 22.23 | 14.27 | 17.81 |
| Total (Σ): | 6,000.86 | 1,448.22 | 1,559.98 | |||
| t | Date | RNKE,t | RS&P 500,t | (RNKE,t–RNKE)2 | (RS&P 500,t–RS&P 500)2 | (RNKE,t–RNKE)×(RS&P 500,t–RS&P 500) |
|---|---|---|---|---|---|---|
| 1. | Jul 31, 2020 | -0.45% | 5.51% | 0.00 | 17.15 | 0.21 |
| 2. | Aug 31, 2020 | 14.88% | 7.01% | 236.55 | 31.78 | 86.71 |
| 3. | Sep 30, 2020 | 12.20% | -3.92% | 161.27 | 28.00 | -67.20 |
| 4. | Oct 31, 2020 | -4.35% | -2.77% | 14.82 | 17.10 | 15.92 |
| 5. | Nov 30, 2020 | 12.18% | 10.75% | 160.65 | 88.09 | 118.96 |
| 6. | Dec 31, 2020 | 5.23% | 3.71% | 32.83 | 5.49 | 13.43 |
| 7. | Jan 31, 2021 | -5.57% | -1.11% | 25.71 | 6.16 | 12.59 |
| 8. | Feb 28, 2021 | 1.10% | 2.61% | 2.55 | 1.54 | 1.98 |
| 9. | Mar 31, 2021 | -1.40% | 4.24% | 0.81 | 8.27 | -2.60 |
| 10. | Apr 30, 2021 | -0.20% | 5.24% | 0.09 | 15.01 | 1.15 |
| 11. | May 31, 2021 | 3.10% | 0.55% | 12.98 | 0.67 | -2.95 |
| 12. | Jun 30, 2021 | 13.21% | 2.22% | 188.03 | 0.73 | 11.69 |
| 13. | Jul 31, 2021 | 8.43% | 2.27% | 79.70 | 0.82 | 8.09 |
| 14. | Aug 31, 2021 | -1.49% | 2.90% | 0.98 | 2.34 | -1.51 |
| 15. | Sep 30, 2021 | -11.84% | -4.76% | 128.67 | 37.53 | 69.49 |
| 16. | Oct 31, 2021 | 15.19% | 6.91% | 246.16 | 30.75 | 87.01 |
| 17. | Nov 30, 2021 | 1.17% | -0.83% | 2.77 | 4.85 | -3.67 |
| 18. | Dec 31, 2021 | -1.34% | 4.36% | 0.70 | 8.95 | -2.51 |
| 19. | Jan 31, 2022 | -11.16% | -5.26% | 113.64 | 43.92 | 70.65 |
| 20. | Feb 28, 2022 | -7.78% | -3.14% | 53.00 | 20.29 | 32.80 |
| 21. | Mar 31, 2022 | -1.23% | 3.58% | 0.54 | 4.88 | -1.62 |
| 22. | Apr 30, 2022 | -7.33% | -8.80% | 46.62 | 103.32 | 69.40 |
| 23. | May 31, 2022 | -4.69% | 0.01% | 17.57 | 1.86 | 5.72 |
| 24. | Jun 30, 2022 | -13.75% | -8.39% | 175.64 | 95.27 | 129.36 |
| 25. | Jul 31, 2022 | 12.45% | 9.11% | 167.59 | 59.95 | 100.24 |
| 26. | Aug 31, 2022 | -7.37% | -4.24% | 47.21 | 31.50 | 38.56 |
| 27. | Sep 30, 2022 | -21.63% | -9.34% | 446.49 | 114.67 | 226.27 |
| 28. | Oct 31, 2022 | 11.50% | 7.99% | 144.03 | 43.79 | 79.42 |
| 29. | Nov 30, 2022 | 18.35% | 5.38% | 355.44 | 16.05 | 75.53 |
| 30. | Dec 31, 2022 | 6.98% | -5.90% | 55.99 | 52.79 | -54.37 |
| 31. | Jan 31, 2023 | 8.82% | 6.18% | 86.85 | 23.10 | 44.79 |
| 32. | Feb 28, 2023 | -6.71% | -2.61% | 38.53 | 15.84 | 24.71 |
| 33. | Mar 31, 2023 | 3.53% | 3.51% | 16.22 | 4.56 | 8.60 |
| 34. | Apr 30, 2023 | 3.33% | 1.46% | 14.64 | 0.01 | 0.36 |
| 35. | May 31, 2023 | -16.93% | 0.25% | 270.12 | 1.26 | 18.42 |
| 36. | Jun 30, 2023 | 5.18% | 4.71% | 32.23 | 11.19 | 18.99 |
| 37. | Jul 31, 2023 | 0.02% | 4.85% | 0.27 | 12.09 | 1.80 |
| 38. | Aug 31, 2023 | -7.86% | -1.77% | 54.22 | 9.86 | 23.12 |
| 39. | Sep 30, 2023 | -5.65% | -4.87% | 26.56 | 38.95 | 32.16 |
| 40. | Oct 31, 2023 | 7.48% | -2.20% | 63.64 | 12.72 | -28.45 |
| 41. | Nov 30, 2023 | 7.30% | 8.92% | 60.80 | 56.99 | 58.86 |
| 42. | Dec 31, 2023 | -1.21% | 4.42% | 0.50 | 9.33 | -2.16 |
| 43. | Jan 31, 2024 | -6.48% | 1.59% | 35.82 | 0.05 | -1.32 |
| 44. | Feb 29, 2024 | 2.36% | 5.17% | 8.20 | 14.46 | 10.89 |
| 45. | Mar 31, 2024 | -9.22% | 3.10% | 76.01 | 3.00 | -15.11 |
| 46. | Apr 30, 2024 | -1.83% | -4.16% | 1.77 | 30.58 | 7.36 |
| 47. | May 31, 2024 | 3.02% | 4.80% | 12.42 | 11.79 | 12.10 |
| 48. | Jun 30, 2024 | -20.32% | 3.47% | 392.67 | 4.40 | -41.58 |
| 49. | Jul 31, 2024 | -0.68% | 1.13% | 0.03 | 0.06 | 0.04 |
| 50. | Aug 31, 2024 | 11.30% | 2.28% | 139.26 | 0.84 | 10.79 |
| 51. | Sep 30, 2024 | 6.54% | 2.02% | 49.57 | 0.42 | 4.58 |
| 52. | Oct 31, 2024 | -12.75% | -0.99% | 150.04 | 5.56 | 28.89 |
| 53. | Nov 30, 2024 | 2.13% | 5.73% | 6.90 | 19.02 | 11.45 |
| 54. | Dec 31, 2024 | -3.43% | -2.50% | 8.57 | 14.96 | 11.33 |
| 55. | Jan 31, 2025 | 1.63% | 2.70% | 4.52 | 1.78 | 2.83 |
| 56. | Feb 28, 2025 | 3.29% | -1.42% | 14.36 | 7.80 | -10.58 |
| 57. | Mar 31, 2025 | -19.58% | -5.75% | 363.94 | 50.74 | 135.89 |
| 58. | Apr 30, 2025 | -11.15% | -0.76% | 113.50 | 4.54 | 22.71 |
| 59. | May 31, 2025 | 7.43% | 6.15% | 62.86 | 22.88 | 37.93 |
| 60. | Jun 30, 2025 | 17.91% | 4.96% | 338.81 | 12.90 | 66.11 |
| 61. | Jul 31, 2025 | 5.14% | 2.17% | 31.78 | 0.64 | 4.50 |
| 62. | Aug 31, 2025 | 3.59% | 1.91% | 16.71 | 0.29 | 2.20 |
| 63. | Sep 30, 2025 | -9.36% | 3.53% | 78.46 | 4.68 | -19.16 |
| 64. | Oct 31, 2025 | -7.37% | 2.27% | 47.22 | 0.81 | -6.18 |
| 65. | Nov 30, 2025 | 0.06% | 0.13% | 0.32 | 1.53 | -0.70 |
| 66. | Dec 31, 2025 | -0.79% | -0.05% | 0.08 | 2.02 | 0.41 |
| 67. | Jan 31, 2026 | -2.98% | 1.37% | 6.16 | 0.00 | 0.01 |
| 68. | Feb 28, 2026 | 0.60% | -0.87% | 1.21 | 5.00 | -2.46 |
| 69. | Mar 31, 2026 | -14.39% | -5.09% | 193.04 | 41.76 | 89.79 |
| 70. | Apr 30, 2026 | -16.02% | 10.42% | 240.78 | 81.98 | -140.50 |
| 71. | May 31, 2026 | 4.22% | 5.15% | 22.23 | 14.27 | 17.81 |
| Total (Σ): | 6,000.86 | 1,448.22 | 1,559.98 | |||
Show all
VarianceNKE = Σ(RNKE,t–RNKE)2 ÷ (71 – 1)
= 6,000.86 ÷ (71 – 1)
= 85.73
VarianceS&P 500 = Σ(RS&P 500,t–RS&P 500)2 ÷ (71 – 1)
= 1,448.22 ÷ (71 – 1)
= 20.69
CovarianceNKE, S&P 500 = Σ(RNKE,t–RNKE)×(RS&P 500,t–RS&P 500) ÷ (71 – 1)
= 1,559.98 ÷ (71 – 1)
= 22.29
Systematic Risk (β) Estimation
| VarianceNKE | 85.73 |
| VarianceS&P 500 | 20.69 |
| CovarianceNKE, S&P 500 | 22.29 |
| Correlation coefficientNKE, S&P 5001 | 0.53 |
| βNKE2 | 1.08 |
| αNKE3 | -1.97% |
Calculations
1 Correlation coefficientNKE, S&P 500
= CovarianceNKE, S&P 500 ÷ (Standard deviationNKE × Standard deviationS&P 500)
= 22.29 ÷ (9.26% × 4.55%)
= 0.53
2 βNKE
= CovarianceNKE, S&P 500 ÷ VarianceS&P 500
= 22.29 ÷ 20.69
= 1.08
3 αNKE
= AverageNKE – βNKE × AverageS&P 500
= -0.50% – 1.08 × 1.37%
= -1.97%
Expected Rate of Return
| Assumptions | ||
| Rate of return on LT Treasury Composite1 | RF | 5.30% |
| Expected rate of return on market portfolio2 | E(RM) | 17.45% |
| Systematic risk (β) of Nike Inc. common stock | βNKE | 1.08 |
| Expected rate of return on Nike Inc. common stock3 | E(RNKE) | 18.39% |
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(RNKE) = RF + βNKE [E(RM) – RF]
= 5.30% + 1.08 [17.45% – 5.30%]
= 18.39%