Capital asset pricing model (CAPM) indicates what should be the expected or required rate of return on risky assets like Lumentum Holdings Inc. common stock.
Rates of Return
| Lumentum Holdings Inc. (LITE) | Standard & Poor’s 500 (S&P 500) | |||||
|---|---|---|---|---|---|---|
| t | Date | PriceLITE,t1 | DividendLITE,t1 | RLITE,t2 | PriceS&P 500,t | RS&P 500,t3 |
| Jul 31, 2020 | $92.83 | 3,271.12 | ||||
| 1. | Aug 31, 2020 | $86.00 | -7.36% | 3,500.31 | 7.01% | |
| 2. | Sep 30, 2020 | $75.13 | -12.64% | 3,363.00 | -3.92% | |
| 3. | Oct 31, 2020 | $82.69 | 10.06% | 3,269.96 | -2.77% | |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| 70. | May 31, 2026 | $854.96 | -5.25% | 7,580.06 | 5.15% | |
| 71. | Jun 30, 2026 | $858.06 | 0.36% | 7,499.36 | -1.06% | |
| Average (R): | 4.37% | 1.28% | ||||
| Standard deviation: | 16.90% | 4.53% | ||||
| Lumentum Holdings Inc. (LITE) | Standard & Poor’s 500 (S&P 500) | |||||
|---|---|---|---|---|---|---|
| t | Date | PriceLITE,t1 | DividendLITE,t1 | RLITE,t2 | PriceS&P 500,t | RS&P 500,t3 |
| Jul 31, 2020 | $92.83 | 3,271.12 | ||||
| 1. | Aug 31, 2020 | $86.00 | -7.36% | 3,500.31 | 7.01% | |
| 2. | Sep 30, 2020 | $75.13 | -12.64% | 3,363.00 | -3.92% | |
| 3. | Oct 31, 2020 | $82.69 | 10.06% | 3,269.96 | -2.77% | |
| 4. | Nov 30, 2020 | $86.38 | 4.46% | 3,621.63 | 10.75% | |
| 5. | Dec 31, 2020 | $94.80 | 9.75% | 3,756.07 | 3.71% | |
| 6. | Jan 31, 2021 | $93.80 | -1.05% | 3,714.24 | -1.11% | |
| 7. | Feb 28, 2021 | $90.00 | -4.05% | 3,811.15 | 2.61% | |
| 8. | Mar 31, 2021 | $91.35 | 1.50% | 3,972.89 | 4.24% | |
| 9. | Apr 30, 2021 | $85.05 | -6.90% | 4,181.17 | 5.24% | |
| 10. | May 31, 2021 | $81.37 | -4.33% | 4,204.11 | 0.55% | |
| 11. | Jun 30, 2021 | $82.03 | 0.81% | 4,297.50 | 2.22% | |
| 12. | Jul 31, 2021 | $83.99 | 2.39% | 4,395.26 | 2.27% | |
| 13. | Aug 31, 2021 | $86.64 | 3.16% | 4,522.68 | 2.90% | |
| 14. | Sep 30, 2021 | $83.54 | -3.58% | 4,307.54 | -4.76% | |
| 15. | Oct 31, 2021 | $82.58 | -1.15% | 4,605.38 | 6.91% | |
| 16. | Nov 30, 2021 | $86.77 | 5.07% | 4,567.00 | -0.83% | |
| 17. | Dec 31, 2021 | $105.77 | 21.90% | 4,766.18 | 4.36% | |
| 18. | Jan 31, 2022 | $101.48 | -4.06% | 4,515.55 | -5.26% | |
| 19. | Feb 28, 2022 | $98.86 | -2.58% | 4,373.94 | -3.14% | |
| 20. | Mar 31, 2022 | $97.60 | -1.27% | 4,530.41 | 3.58% | |
| 21. | Apr 30, 2022 | $81.21 | -16.79% | 4,131.93 | -8.80% | |
| 22. | May 31, 2022 | $86.08 | 6.00% | 4,132.15 | 0.01% | |
| 23. | Jun 30, 2022 | $79.42 | -7.74% | 3,785.38 | -8.39% | |
| 24. | Jul 31, 2022 | $90.46 | 13.90% | 4,130.29 | 9.11% | |
| 25. | Aug 31, 2022 | $83.55 | -7.64% | 3,955.00 | -4.24% | |
| 26. | Sep 30, 2022 | $68.57 | -17.93% | 3,585.62 | -9.34% | |
| 27. | Oct 31, 2022 | $74.45 | 8.58% | 3,871.98 | 7.99% | |
| 28. | Nov 30, 2022 | $54.94 | -26.21% | 4,080.11 | 5.38% | |
| 29. | Dec 31, 2022 | $52.17 | -5.04% | 3,839.50 | -5.90% | |
| 30. | Jan 31, 2023 | $60.18 | 15.35% | 4,076.60 | 6.18% | |
| 31. | Feb 28, 2023 | $53.81 | -10.58% | 3,970.15 | -2.61% | |
| 32. | Mar 31, 2023 | $54.01 | 0.37% | 4,109.31 | 3.51% | |
| 33. | Apr 30, 2023 | $48.25 | -10.66% | 4,169.48 | 1.46% | |
| 34. | May 31, 2023 | $52.90 | 9.64% | 4,179.83 | 0.25% | |
| 35. | Jun 30, 2023 | $56.73 | 7.24% | 4,376.86 | 4.71% | |
| 36. | Jul 31, 2023 | $52.36 | -7.70% | 4,588.96 | 4.85% | |
| 37. | Aug 31, 2023 | $54.13 | 3.38% | 4,507.66 | -1.77% | |
| 38. | Sep 30, 2023 | $45.18 | -16.53% | 4,288.05 | -4.87% | |
| 39. | Oct 31, 2023 | $39.21 | -13.21% | 4,193.80 | -2.20% | |
| 40. | Nov 30, 2023 | $42.80 | 9.16% | 4,567.80 | 8.92% | |
| 41. | Dec 31, 2023 | $52.42 | 22.48% | 4,769.83 | 4.42% | |
| 42. | Jan 31, 2024 | $54.94 | 4.81% | 4,845.65 | 1.59% | |
| 43. | Feb 29, 2024 | $48.47 | -11.78% | 5,096.27 | 5.17% | |
| 44. | Mar 31, 2024 | $47.35 | -2.31% | 5,254.35 | 3.10% | |
| 45. | Apr 30, 2024 | $43.76 | -7.58% | 5,035.69 | -4.16% | |
| 46. | May 31, 2024 | $43.50 | -0.59% | 5,277.51 | 4.80% | |
| 47. | Jun 30, 2024 | $50.92 | 17.06% | 5,460.48 | 3.47% | |
| 48. | Jul 31, 2024 | $51.78 | 1.69% | 5,522.30 | 1.13% | |
| 49. | Aug 31, 2024 | $57.61 | 11.26% | 5,648.40 | 2.28% | |
| 50. | Sep 30, 2024 | $63.38 | 10.02% | 5,762.48 | 2.02% | |
| 51. | Oct 31, 2024 | $63.87 | 0.77% | 5,705.45 | -0.99% | |
| 52. | Nov 30, 2024 | $86.97 | 36.17% | 6,032.38 | 5.73% | |
| 53. | Dec 31, 2024 | $83.95 | -3.47% | 5,881.63 | -2.50% | |
| 54. | Jan 31, 2025 | $85.06 | 1.32% | 6,040.53 | 2.70% | |
| 55. | Feb 28, 2025 | $70.33 | -17.32% | 5,954.50 | -1.42% | |
| 56. | Mar 31, 2025 | $62.34 | -11.36% | 5,611.85 | -5.75% | |
| 57. | Apr 30, 2025 | $59.04 | -5.29% | 5,569.06 | -0.76% | |
| 58. | May 31, 2025 | $72.28 | 22.43% | 5,911.69 | 6.15% | |
| 59. | Jun 30, 2025 | $95.06 | 31.52% | 6,204.95 | 4.96% | |
| 60. | Jul 31, 2025 | $110.08 | 15.80% | 6,339.39 | 2.17% | |
| 61. | Aug 31, 2025 | $132.81 | 20.65% | 6,460.26 | 1.91% | |
| 62. | Sep 30, 2025 | $162.71 | 22.51% | 6,688.46 | 3.53% | |
| 63. | Oct 31, 2025 | $201.56 | 23.88% | 6,840.20 | 2.27% | |
| 64. | Nov 30, 2025 | $325.16 | 61.32% | 6,849.09 | 0.13% | |
| 65. | Dec 31, 2025 | $368.59 | 13.36% | 6,845.50 | -0.05% | |
| 66. | Jan 31, 2026 | $391.84 | 6.31% | 6,939.03 | 1.37% | |
| 67. | Feb 28, 2026 | $700.91 | 78.88% | 6,878.88 | -0.87% | |
| 68. | Mar 31, 2026 | $702.76 | 0.26% | 6,528.52 | -5.09% | |
| 69. | Apr 30, 2026 | $902.32 | 28.40% | 7,209.01 | 10.42% | |
| 70. | May 31, 2026 | $854.96 | -5.25% | 7,580.06 | 5.15% | |
| 71. | Jun 30, 2026 | $858.06 | 0.36% | 7,499.36 | -1.06% | |
| Average (R): | 4.37% | 1.28% | ||||
| Standard deviation: | 16.90% | 4.53% | ||||
Show all
1 Data in US$ per share of common stock, adjusted for splits and stock dividends.
2 Rate of return on common stock of LITE during period t
3 Rate of return on S&P 500 (the market portfolio proxy) during period t
Variance and Covariance
| t | Date | RLITE,t | RS&P 500,t | (RLITE,t–RLITE)2 | (RS&P 500,t–RS&P 500)2 | (RLITE,t–RLITE)×(RS&P 500,t–RS&P 500) |
|---|---|---|---|---|---|---|
| 1. | Aug 31, 2020 | -7.36% | 7.01% | 137.44 | 32.84 | -67.18 |
| 2. | Sep 30, 2020 | -12.64% | -3.92% | 289.18 | 27.03 | 88.41 |
| 3. | Oct 31, 2020 | 10.06% | -2.77% | 32.45 | 16.34 | -23.03 |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| 70. | May 31, 2026 | -5.25% | 5.15% | 92.44 | 14.98 | -37.22 |
| 71. | Jun 30, 2026 | 0.36% | -1.06% | 16.03 | 5.48 | 9.37 |
| Total (Σ): | 19,983.13 | 1,436.39 | 1,751.77 | |||
| t | Date | RLITE,t | RS&P 500,t | (RLITE,t–RLITE)2 | (RS&P 500,t–RS&P 500)2 | (RLITE,t–RLITE)×(RS&P 500,t–RS&P 500) |
|---|---|---|---|---|---|---|
| 1. | Aug 31, 2020 | -7.36% | 7.01% | 137.44 | 32.84 | -67.18 |
| 2. | Sep 30, 2020 | -12.64% | -3.92% | 289.18 | 27.03 | 88.41 |
| 3. | Oct 31, 2020 | 10.06% | -2.77% | 32.45 | 16.34 | -23.03 |
| 4. | Nov 30, 2020 | 4.46% | 10.75% | 0.01 | 89.84 | 0.92 |
| 5. | Dec 31, 2020 | 9.75% | 3.71% | 28.96 | 5.93 | 13.11 |
| 6. | Jan 31, 2021 | -1.05% | -1.11% | 29.38 | 5.71 | 12.96 |
| 7. | Feb 28, 2021 | -4.05% | 2.61% | 70.85 | 1.78 | -11.22 |
| 8. | Mar 31, 2021 | 1.50% | 4.24% | 8.21 | 8.81 | -8.50 |
| 9. | Apr 30, 2021 | -6.90% | 5.24% | 126.84 | 15.73 | -44.67 |
| 10. | May 31, 2021 | -4.33% | 0.55% | 75.56 | 0.53 | 6.32 |
| 11. | Jun 30, 2021 | 0.81% | 2.22% | 12.64 | 0.89 | -3.36 |
| 12. | Jul 31, 2021 | 2.39% | 2.27% | 3.91 | 1.00 | -1.97 |
| 13. | Aug 31, 2021 | 3.16% | 2.90% | 1.47 | 2.63 | -1.96 |
| 14. | Sep 30, 2021 | -3.58% | -4.76% | 63.11 | 36.40 | 47.93 |
| 15. | Oct 31, 2021 | -1.15% | 6.91% | 30.42 | 31.79 | -31.09 |
| 16. | Nov 30, 2021 | 5.07% | -0.83% | 0.50 | 4.45 | -1.49 |
| 17. | Dec 31, 2021 | 21.90% | 4.36% | 307.34 | 9.52 | 54.08 |
| 18. | Jan 31, 2022 | -4.06% | -5.26% | 70.93 | 42.70 | 55.03 |
| 19. | Feb 28, 2022 | -2.58% | -3.14% | 48.27 | 19.47 | 30.66 |
| 20. | Mar 31, 2022 | -1.27% | 3.58% | 31.81 | 5.29 | -12.98 |
| 21. | Apr 30, 2022 | -16.79% | -8.80% | 447.70 | 101.44 | 213.11 |
| 22. | May 31, 2022 | 6.00% | 0.01% | 2.66 | 1.62 | -2.07 |
| 23. | Jun 30, 2022 | -7.74% | -8.39% | 146.48 | 93.48 | 117.01 |
| 24. | Jul 31, 2022 | 13.90% | 9.11% | 90.91 | 61.39 | 74.71 |
| 25. | Aug 31, 2022 | -7.64% | -4.24% | 144.11 | 30.47 | 66.27 |
| 26. | Sep 30, 2022 | -17.93% | -9.34% | 497.08 | 112.70 | 236.68 |
| 27. | Oct 31, 2022 | 8.58% | 7.99% | 17.72 | 45.03 | 28.24 |
| 28. | Nov 30, 2022 | -26.21% | 5.38% | 934.61 | 16.80 | -125.31 |
| 29. | Dec 31, 2022 | -5.04% | -5.90% | 88.51 | 51.46 | 67.49 |
| 30. | Jan 31, 2023 | 15.35% | 6.18% | 120.73 | 24.00 | 53.83 |
| 31. | Feb 28, 2023 | -10.58% | -2.61% | 223.53 | 15.11 | 58.12 |
| 32. | Mar 31, 2023 | 0.37% | 3.51% | 15.95 | 4.97 | -8.90 |
| 33. | Apr 30, 2023 | -10.66% | 1.46% | 225.92 | 0.04 | -2.83 |
| 34. | May 31, 2023 | 9.64% | 0.25% | 27.79 | 1.06 | -5.42 |
| 35. | Jun 30, 2023 | 7.24% | 4.71% | 8.26 | 11.82 | 9.88 |
| 36. | Jul 31, 2023 | -7.70% | 4.85% | 145.66 | 12.74 | -43.08 |
| 37. | Aug 31, 2023 | 3.38% | -1.77% | 0.97 | 9.29 | 3.00 |
| 38. | Sep 30, 2023 | -16.53% | -4.87% | 436.82 | 37.80 | 128.50 |
| 39. | Oct 31, 2023 | -13.21% | -2.20% | 309.05 | 12.07 | 61.08 |
| 40. | Nov 30, 2023 | 9.16% | 8.92% | 22.94 | 58.40 | 36.60 |
| 41. | Dec 31, 2023 | 22.48% | 4.42% | 328.00 | 9.90 | 56.99 |
| 42. | Jan 31, 2024 | 4.81% | 1.59% | 0.19 | 0.10 | 0.14 |
| 43. | Feb 29, 2024 | -11.78% | 5.17% | 260.58 | 15.18 | -62.89 |
| 44. | Mar 31, 2024 | -2.31% | 3.10% | 44.58 | 3.33 | -12.19 |
| 45. | Apr 30, 2024 | -7.58% | -4.16% | 142.75 | 29.57 | 64.97 |
| 46. | May 31, 2024 | -0.59% | 4.80% | 24.60 | 12.43 | -17.49 |
| 47. | Jun 30, 2024 | 17.06% | 3.47% | 161.08 | 4.80 | 27.80 |
| 48. | Jul 31, 2024 | 1.69% | 1.13% | 7.17 | 0.02 | 0.39 |
| 49. | Aug 31, 2024 | 11.26% | 2.28% | 47.52 | 1.01 | 6.94 |
| 50. | Sep 30, 2024 | 10.02% | 2.02% | 31.92 | 0.55 | 4.20 |
| 51. | Oct 31, 2024 | 0.77% | -0.99% | 12.91 | 5.13 | 8.14 |
| 52. | Nov 30, 2024 | 36.17% | 5.73% | 1,011.33 | 19.84 | 141.64 |
| 53. | Dec 31, 2024 | -3.47% | -2.50% | 61.44 | 14.25 | 29.59 |
| 54. | Jan 31, 2025 | 1.32% | 2.70% | 9.26 | 2.03 | -4.34 |
| 55. | Feb 28, 2025 | -17.32% | -1.42% | 470.16 | 7.29 | 58.55 |
| 56. | Mar 31, 2025 | -11.36% | -5.75% | 247.33 | 49.43 | 110.57 |
| 57. | Apr 30, 2025 | -5.29% | -0.76% | 93.30 | 4.16 | 19.69 |
| 58. | May 31, 2025 | 22.43% | 6.15% | 326.15 | 23.78 | 88.06 |
| 59. | Jun 30, 2025 | 31.52% | 4.96% | 737.15 | 13.58 | 100.03 |
| 60. | Jul 31, 2025 | 15.80% | 2.17% | 130.75 | 0.79 | 10.18 |
| 61. | Aug 31, 2025 | 20.65% | 1.91% | 265.13 | 0.40 | 10.26 |
| 62. | Sep 30, 2025 | 22.51% | 3.53% | 329.33 | 5.09 | 40.94 |
| 63. | Oct 31, 2025 | 23.88% | 2.27% | 380.68 | 0.98 | 19.36 |
| 64. | Nov 30, 2025 | 61.32% | 0.13% | 3,243.96 | 1.31 | -65.29 |
| 65. | Dec 31, 2025 | 13.36% | -0.05% | 80.83 | 1.77 | -11.95 |
| 66. | Jan 31, 2026 | 6.31% | 1.37% | 3.77 | 0.01 | 0.17 |
| 67. | Feb 28, 2026 | 78.88% | -0.87% | 5,551.85 | 4.59 | -159.68 |
| 68. | Mar 31, 2026 | 0.26% | -5.09% | 16.83 | 40.57 | 26.13 |
| 69. | Apr 30, 2026 | 28.40% | 10.42% | 577.48 | 83.67 | 219.81 |
| 70. | May 31, 2026 | -5.25% | 5.15% | 92.44 | 14.98 | -37.22 |
| 71. | Jun 30, 2026 | 0.36% | -1.06% | 16.03 | 5.48 | 9.37 |
| Total (Σ): | 19,983.13 | 1,436.39 | 1,751.77 | |||
Show all
VarianceLITE = Σ(RLITE,t–RLITE)2 ÷ (71 – 1)
= 19,983.13 ÷ (71 – 1)
= 285.47
VarianceS&P 500 = Σ(RS&P 500,t–RS&P 500)2 ÷ (71 – 1)
= 1,436.39 ÷ (71 – 1)
= 20.52
CovarianceLITE, S&P 500 = Σ(RLITE,t–RLITE)×(RS&P 500,t–RS&P 500) ÷ (71 – 1)
= 1,751.77 ÷ (71 – 1)
= 25.03
Systematic Risk (β) Estimation
| VarianceLITE | 285.47 |
| VarianceS&P 500 | 20.52 |
| CovarianceLITE, S&P 500 | 25.03 |
| Correlation coefficientLITE, S&P 5001 | 0.33 |
| βLITE2 | 1.22 |
| αLITE3 | 2.81% |
Calculations
1 Correlation coefficientLITE, S&P 500
= CovarianceLITE, S&P 500 ÷ (Standard deviationLITE × Standard deviationS&P 500)
= 25.03 ÷ (16.90% × 4.53%)
= 0.33
2 βLITE
= CovarianceLITE, S&P 500 ÷ VarianceS&P 500
= 25.03 ÷ 20.52
= 1.22
3 αLITE
= AverageLITE – βLITE × AverageS&P 500
= 4.37% – 1.22 × 1.28%
= 2.81%
Expected Rate of Return
| Assumptions | ||
| Rate of return on LT Treasury Composite1 | RF | 5.64% |
| Expected rate of return on market portfolio2 | E(RM) | 17.45% |
| Systematic risk (β) of Lumentum Holdings Inc. common stock | βLITE | 1.22 |
| Expected rate of return on Lumentum Holdings Inc. common stock3 | E(RLITE) | 20.05% |
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(RLITE) = RF + βLITE [E(RM) – RF]
= 5.64% + 1.22 [17.45% – 5.64%]
= 20.05%