資本資産価格設定モデル (CAPM)
資本資産価格モデル(CAPM)は、 Broadcom普通株式などのリスク資産の期待収益率または必要な収益率を示します。
収益率
Broadcom Inc.、月間収益率
| Broadcom Inc. (AVGO) | Standard & Poor’s 500 (S&P 500) | |||||
|---|---|---|---|---|---|---|
| t | 日付 | 価格AVGO,t1 | 配当AVGO,t1 | RAVGO,t2 | 価格S&P 500,t | RS&P 500,t3 |
| 2017/11/30 | $27.79 | 2,647.58 | ||||
| 1. | 2017/12/31 | $25.69 | $0.175 | -6.93% | 2,673.61 | 0.98% |
| 2. | 2018/01/31 | $24.80 | -3.46% | 2,823.81 | 5.62% | |
| 3. | 2018/02/28 | $24.65 | -0.60% | 2,713.83 | -3.89% | |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| 70. | 2023/09/30 | $83.06 | $0.46 | -9.50% | 4,288.05 | -4.87% |
| 71. | 2023/10/31 | $84.14 | 1.30% | 4,193.80 | -2.20% | |
| 平均 (R): | 2.22% | 0.78% | ||||
| 標準偏差： | 8.67% | 5.13% | ||||
| Broadcom Inc. (AVGO) | Standard & Poor’s 500 (S&P 500) | |||||
|---|---|---|---|---|---|---|
| t | 日付 | 価格AVGO,t1 | 配当AVGO,t1 | RAVGO,t2 | 価格S&P 500,t | RS&P 500,t3 |
| 2017/11/30 | $27.79 | 2,647.58 | ||||
| 1. | 2017/12/31 | $25.69 | $0.175 | -6.93% | 2,673.61 | 0.98% |
| 2. | 2018/01/31 | $24.80 | -3.46% | 2,823.81 | 5.62% | |
| 3. | 2018/02/28 | $24.65 | -0.60% | 2,713.83 | -3.89% | |
| 4. | 2018/03/31 | $23.57 | $0.175 | -3.67% | 2,640.87 | -2.69% |
| 5. | 2018/04/30 | $22.94 | -2.67% | 2,648.05 | 0.27% | |
| 6. | 2018/05/31 | $25.21 | 9.90% | 2,705.27 | 2.16% | |
| 7. | 2018/06/30 | $24.26 | $0.175 | -3.07% | 2,718.37 | 0.48% |
| 8. | 2018/07/31 | $22.18 | -8.57% | 2,816.29 | 3.60% | |
| 9. | 2018/08/31 | $21.90 | -1.26% | 2,901.52 | 3.03% | |
| 10. | 2018/09/30 | $24.67 | $0.175 | 13.45% | 2,913.98 | 0.43% |
| 11. | 2018/10/31 | $22.35 | -9.40% | 2,711.74 | -6.94% | |
| 12. | 2018/11/30 | $23.74 | 6.22% | 2,760.17 | 1.79% | |
| 13. | 2018/12/31 | $25.43 | $0.265 | 8.24% | 2,506.85 | -9.18% |
| 14. | 2019/01/31 | $26.83 | 5.51% | 2,704.10 | 7.87% | |
| 15. | 2019/02/28 | $27.54 | 2.65% | 2,784.49 | 2.97% | |
| 16. | 2019/03/31 | $30.07 | $0.265 | 10.15% | 2,834.40 | 1.79% |
| 17. | 2019/04/30 | $31.84 | 5.89% | 2,945.83 | 3.93% | |
| 18. | 2019/05/31 | $25.16 | -20.98% | 2,752.06 | -6.58% | |
| 19. | 2019/06/30 | $28.79 | $0.265 | 15.48% | 2,941.76 | 6.89% |
| 20. | 2019/07/31 | $29.00 | 0.73% | 2,980.38 | 1.31% | |
| 21. | 2019/08/31 | $28.26 | -2.55% | 2,926.46 | -1.81% | |
| 22. | 2019/09/30 | $27.61 | $0.265 | -1.36% | 2,976.74 | 1.72% |
| 23. | 2019/10/31 | $29.29 | 6.08% | 3,037.56 | 2.04% | |
| 24. | 2019/11/30 | $31.62 | 7.95% | 3,140.98 | 3.40% | |
| 25. | 2019/12/31 | $31.60 | $0.325 | 0.96% | 3,230.78 | 2.86% |
| 26. | 2020/01/31 | $30.52 | -3.42% | 3,225.52 | -0.16% | |
| 27. | 2020/02/29 | $27.26 | -10.68% | 2,954.22 | -8.41% | |
| 28. | 2020/03/31 | $23.71 | $0.325 | -11.83% | 2,584.59 | -12.51% |
| 29. | 2020/04/30 | $27.16 | 14.55% | 2,912.43 | 12.68% | |
| 30. | 2020/05/31 | $29.13 | 7.25% | 3,044.31 | 4.53% | |
| 31. | 2020/06/30 | $31.56 | $0.325 | 9.46% | 3,100.29 | 1.84% |
| 32. | 2020/07/31 | $31.68 | 0.38% | 3,271.12 | 5.51% | |
| 33. | 2020/08/31 | $34.72 | 9.60% | 3,500.31 | 7.01% | |
| 34. | 2020/09/30 | $36.43 | $0.325 | 5.86% | 3,363.00 | -3.92% |
| 35. | 2020/10/31 | $34.96 | -4.04% | 3,269.96 | -2.77% | |
| 36. | 2020/11/30 | $40.16 | 14.87% | 3,621.63 | 10.75% | |
| 37. | 2020/12/31 | $43.79 | $0.36 | 9.94% | 3,756.07 | 3.71% |
| 38. | 2021/01/31 | $45.05 | 2.88% | 3,714.24 | -1.11% | |
| 39. | 2021/02/28 | $46.99 | 4.31% | 3,811.15 | 2.61% | |
| 40. | 2021/03/31 | $46.37 | $0.36 | -0.55% | 3,972.89 | 4.24% |
| 41. | 2021/04/30 | $45.62 | -1.62% | 4,181.17 | 5.24% | |
| 42. | 2021/05/31 | $47.23 | 3.53% | 4,204.11 | 0.55% | |
| 43. | 2021/06/30 | $47.68 | $0.36 | 1.72% | 4,297.50 | 2.22% |
| 44. | 2021/07/31 | $48.54 | 1.80% | 4,395.26 | 2.27% | |
| 45. | 2021/08/31 | $49.72 | 2.43% | 4,522.68 | 2.90% | |
| 46. | 2021/09/30 | $48.49 | $0.36 | -1.75% | 4,307.54 | -4.76% |
| 47. | 2021/10/31 | $53.17 | 9.65% | 4,605.38 | 6.91% | |
| 48. | 2021/11/30 | $55.37 | 4.14% | 4,567.00 | -0.83% | |
| 49. | 2021/12/31 | $66.54 | $0.41 | 20.91% | 4,766.18 | 4.36% |
| 50. | 2022/01/31 | $58.59 | -11.95% | 4,515.55 | -5.26% | |
| 51. | 2022/02/28 | $58.74 | 0.26% | 4,373.94 | -3.14% | |
| 52. | 2022/03/31 | $62.97 | $0.41 | 7.90% | 4,530.41 | 3.58% |
| 53. | 2022/04/30 | $55.44 | -11.96% | 4,131.93 | -8.80% | |
| 54. | 2022/05/31 | $58.01 | 4.64% | 4,132.15 | 0.01% | |
| 55. | 2022/06/30 | $48.58 | $0.41 | -15.55% | 3,785.38 | -8.39% |
| 56. | 2022/07/31 | $53.55 | 10.23% | 4,130.29 | 9.11% | |
| 57. | 2022/08/31 | $49.91 | -6.80% | 3,955.00 | -4.24% | |
| 58. | 2022/09/30 | $44.40 | $0.41 | -10.22% | 3,585.62 | -9.34% |
| 59. | 2022/10/31 | $47.01 | 5.88% | 3,871.98 | 7.99% | |
| 60. | 2022/11/30 | $55.10 | 17.21% | 4,080.11 | 5.38% | |
| 61. | 2022/12/31 | $55.91 | $0.46 | 2.30% | 3,839.50 | -5.90% |
| 62. | 2023/01/31 | $58.50 | 4.63% | 4,076.60 | 6.18% | |
| 63. | 2023/02/28 | $59.43 | 1.59% | 3,970.15 | -2.61% | |
| 64. | 2023/03/31 | $64.15 | $0.46 | 8.72% | 4,109.31 | 3.51% |
| 65. | 2023/04/30 | $62.65 | -2.34% | 4,169.48 | 1.46% | |
| 66. | 2023/05/31 | $80.80 | 28.97% | 4,179.83 | 0.25% | |
| 67. | 2023/06/30 | $86.74 | $0.46 | 7.92% | 4,376.86 | 4.71% |
| 68. | 2023/07/31 | $89.87 | 3.61% | 4,588.96 | 4.85% | |
| 69. | 2023/08/31 | $92.29 | 2.69% | 4,507.66 | -1.77% | |
| 70. | 2023/09/30 | $83.06 | $0.46 | -9.50% | 4,288.05 | -4.87% |
| 71. | 2023/10/31 | $84.14 | 1.30% | 4,193.80 | -2.20% | |
| 平均 (R): | 2.22% | 0.78% | ||||
| 標準偏差： | 8.67% | 5.13% | ||||
すべて表示
1 普通株式1株当たり米ドルのデータで、分割と株式配当を調整したものです。
2 期間tにおけるAVGOの普通株式の収益率。
3 期間 tにおけるS&P 500(市場ポートフォリオの代理)の収益率。
分散と共分散
Broadcom Inc.、分散の計算、および戻り値の共分散
| t | 日付 | RAVGO,t | RS&P 500,t | (RAVGO,t–RAVGO)2 | (RS&P 500,t–RS&P 500)2 | (RAVGO,t–RAVGO)×(RS&P 500,t–RS&P 500) |
|---|---|---|---|---|---|---|
| 1. | 2017/12/31 | -6.93% | 0.98% | 83.65 | 0.04 | -1.85 |
| 2. | 2018/01/31 | -3.46% | 5.62% | 32.30 | 23.40 | -27.49 |
| 3. | 2018/02/28 | -0.60% | -3.89% | 7.98 | 21.86 | 13.20 |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| 70. | 2023/09/30 | -9.50% | -4.87% | 137.40 | 31.95 | 66.26 |
| 71. | 2023/10/31 | 1.30% | -2.20% | 0.84 | 8.87 | 2.74 |
| トータル (Σ): | 5,264.27 | 1,843.80 | 1,962.79 | |||
| t | 日付 | RAVGO,t | RS&P 500,t | (RAVGO,t–RAVGO)2 | (RS&P 500,t–RS&P 500)2 | (RAVGO,t–RAVGO)×(RS&P 500,t–RS&P 500) |
|---|---|---|---|---|---|---|
| 1. | 2017/12/31 | -6.93% | 0.98% | 83.65 | 0.04 | -1.85 |
| 2. | 2018/01/31 | -3.46% | 5.62% | 32.30 | 23.40 | -27.49 |
| 3. | 2018/02/28 | -0.60% | -3.89% | 7.98 | 21.86 | 13.20 |
| 4. | 2018/03/31 | -3.67% | -2.69% | 34.70 | 12.04 | 20.44 |
| 5. | 2018/04/30 | -2.67% | 0.27% | 23.93 | 0.26 | 2.49 |
| 6. | 2018/05/31 | 9.90% | 2.16% | 58.92 | 1.90 | 10.59 |
| 7. | 2018/06/30 | -3.07% | 0.48% | 28.02 | 0.09 | 1.57 |
| 8. | 2018/07/31 | -8.57% | 3.60% | 116.49 | 7.96 | -30.45 |
| 9. | 2018/08/31 | -1.26% | 3.03% | 12.12 | 5.04 | -7.82 |
| 10. | 2018/09/30 | 13.45% | 0.43% | 126.07 | 0.12 | -3.94 |
| 11. | 2018/10/31 | -9.40% | -6.94% | 135.10 | 59.62 | 89.75 |
| 12. | 2018/11/30 | 6.22% | 1.79% | 16.00 | 1.01 | 4.02 |
| 13. | 2018/12/31 | 8.24% | -9.18% | 36.19 | 99.17 | -59.91 |
| 14. | 2019/01/31 | 5.51% | 7.87% | 10.80 | 50.24 | 23.29 |
| 15. | 2019/02/28 | 2.65% | 2.97% | 0.18 | 4.81 | 0.94 |
| 16. | 2019/03/31 | 10.15% | 1.79% | 62.88 | 1.02 | 8.02 |
| 17. | 2019/04/30 | 5.89% | 3.93% | 13.45 | 9.93 | 11.55 |
| 18. | 2019/05/31 | -20.98% | -6.58% | 538.20 | 54.15 | 170.71 |
| 19. | 2019/06/30 | 15.48% | 6.89% | 175.87 | 37.36 | 81.06 |
| 20. | 2019/07/31 | 0.73% | 1.31% | 2.22 | 0.28 | -0.79 |
| 21. | 2019/08/31 | -2.55% | -1.81% | 22.76 | 6.71 | 12.36 |
| 22. | 2019/09/30 | -1.36% | 1.72% | 12.83 | 0.88 | -3.36 |
| 23. | 2019/10/31 | 6.08% | 2.04% | 14.94 | 1.59 | 4.88 |
| 24. | 2019/11/30 | 7.95% | 3.40% | 32.90 | 6.89 | 15.05 |
| 25. | 2019/12/31 | 0.96% | 2.86% | 1.57 | 4.32 | -2.61 |
| 26. | 2020/01/31 | -3.42% | -0.16% | 31.78 | 0.89 | 5.32 |
| 27. | 2020/02/29 | -10.68% | -8.41% | 166.43 | 84.49 | 118.58 |
| 28. | 2020/03/31 | -11.83% | -12.51% | 197.40 | 176.70 | 186.76 |
| 29. | 2020/04/30 | 14.55% | 12.68% | 152.07 | 141.70 | 146.79 |
| 30. | 2020/05/31 | 7.25% | 4.53% | 25.34 | 14.04 | 18.86 |
| 31. | 2020/06/30 | 9.46% | 1.84% | 52.39 | 1.12 | 7.66 |
| 32. | 2020/07/31 | 0.38% | 5.51% | 3.38 | 22.37 | -8.70 |
| 33. | 2020/08/31 | 9.60% | 7.01% | 54.41 | 38.76 | 45.92 |
| 34. | 2020/09/30 | 5.86% | -3.92% | 13.26 | 22.12 | -17.13 |
| 35. | 2020/10/31 | -4.04% | -2.77% | 39.12 | 12.58 | 22.19 |
| 36. | 2020/11/30 | 14.87% | 10.75% | 160.14 | 99.48 | 126.22 |
| 37. | 2020/12/31 | 9.94% | 3.71% | 59.54 | 8.59 | 22.62 |
| 38. | 2021/01/31 | 2.88% | -1.11% | 0.43 | 3.59 | -1.25 |
| 39. | 2021/02/28 | 4.31% | 2.61% | 4.36 | 3.34 | 3.82 |
| 40. | 2021/03/31 | -0.55% | 4.24% | 7.69 | 11.99 | -9.60 |
| 41. | 2021/04/30 | -1.62% | 5.24% | 14.72 | 19.91 | -17.12 |
| 42. | 2021/05/31 | 3.53% | 0.55% | 1.72 | 0.05 | -0.30 |
| 43. | 2021/06/30 | 1.72% | 2.22% | 0.25 | 2.08 | -0.73 |
| 44. | 2021/07/31 | 1.80% | 2.27% | 0.17 | 2.23 | -0.62 |
| 45. | 2021/08/31 | 2.43% | 2.90% | 0.04 | 4.49 | 0.45 |
| 46. | 2021/09/30 | -1.75% | -4.76% | 15.75 | 30.67 | 21.98 |
| 47. | 2021/10/31 | 9.65% | 6.91% | 55.24 | 37.62 | 45.59 |
| 48. | 2021/11/30 | 4.14% | -0.83% | 3.68 | 2.61 | -3.10 |
| 49. | 2021/12/31 | 20.91% | 4.36% | 349.49 | 12.82 | 66.94 |
| 50. | 2022/01/31 | -11.95% | -5.26% | 200.70 | 36.47 | 85.56 |
| 51. | 2022/02/28 | 0.26% | -3.14% | 3.85 | 15.34 | 7.69 |
| 52. | 2022/03/31 | 7.90% | 3.58% | 32.26 | 7.82 | 15.88 |
| 53. | 2022/04/30 | -11.96% | -8.80% | 201.00 | 91.71 | 135.77 |
| 54. | 2022/05/31 | 4.64% | 0.01% | 5.84 | 0.60 | -1.87 |
| 55. | 2022/06/30 | -15.55% | -8.39% | 315.71 | 84.14 | 162.98 |
| 56. | 2022/07/31 | 10.23% | 9.11% | 64.18 | 69.40 | 66.74 |
| 57. | 2022/08/31 | -6.80% | -4.24% | 81.30 | 25.25 | 45.31 |
| 58. | 2022/09/30 | -10.22% | -9.34% | 154.70 | 102.42 | 125.87 |
| 59. | 2022/10/31 | 5.88% | 7.99% | 13.39 | 51.92 | 26.37 |
| 60. | 2022/11/30 | 17.21% | 5.38% | 224.69 | 21.11 | 68.87 |
| 61. | 2022/12/31 | 2.30% | -5.90% | 0.01 | 44.59 | -0.57 |
| 62. | 2023/01/31 | 4.63% | 6.18% | 5.82 | 29.10 | 13.02 |
| 63. | 2023/02/28 | 1.59% | -2.61% | 0.40 | 11.51 | 2.14 |
| 64. | 2023/03/31 | 8.72% | 3.51% | 42.21 | 7.42 | 17.70 |
| 65. | 2023/04/30 | -2.34% | 1.46% | 20.77 | 0.47 | -3.12 |
| 66. | 2023/05/31 | 28.97% | 0.25% | 715.62 | 0.28 | -14.25 |
| 67. | 2023/06/30 | 7.92% | 4.71% | 32.51 | 15.47 | 22.42 |
| 68. | 2023/07/31 | 3.61% | 4.85% | 1.93 | 16.53 | 5.65 |
| 69. | 2023/08/31 | 2.69% | -1.77% | 0.22 | 6.51 | -1.21 |
| 70. | 2023/09/30 | -9.50% | -4.87% | 137.40 | 31.95 | 66.26 |
| 71. | 2023/10/31 | 1.30% | -2.20% | 0.84 | 8.87 | 2.74 |
| トータル (Σ): | 5,264.27 | 1,843.80 | 1,962.79 | |||
すべて表示
分散AVGO = Σ(RAVGO,t–RAVGO)2 ÷ (71 – 1)
= 5,264.27 ÷ (71 – 1)
= 75.20
分散S&P 500 = Σ(RS&P 500,t–RS&P 500)2 ÷ (71 – 1)
= 1,843.80 ÷ (71 – 1)
= 26.34
共 分散AVGO, S&P 500 = Σ(RAVGO,t–RAVGO)×(RS&P 500,t–RS&P 500) ÷ (71 – 1)
= 1,962.79 ÷ (71 – 1)
= 28.04
システマティックなリスク推定 (β)
| 分散AVGO | 75.20 |
| 分散S&P 500 | 26.34 |
| 共 分散AVGO, S&P 500 | 28.04 |
| 相関係数AVGO, S&P 5001 | 0.63 |
| βAVGO2 | 1.06 |
| αAVGO3 | 1.39% |
計算
1 相関係数AVGO, S&P 500
= 共 分散AVGO, S&P 500 ÷ (標準偏差AVGO × 標準偏差S&P 500)
= 28.04 ÷ (8.67% × 5.13%)
= 0.63
2 βAVGO
= 共 分散AVGO, S&P 500 ÷ 分散S&P 500
= 28.04 ÷ 26.34
= 1.06
3 αAVGO
= 平均AVGO – βAVGO × 平均S&P 500
= 2.22% – 1.06 × 0.78%
= 1.39%
期待収益率
| 仮定 | ||
| LT国債総合の収益率1 | RF | 4.34% |
| 市場ポートフォリオの期待収益率2 | E(RM) | 13.74% |
| 普通株式 Broadcom システマティックリスク | βAVGO | 1.06 |
| Broadcomの普通株式の期待収益率3 | E(RAVGO) | 14.35% |
1 10年以内に期限が到来しない、または償還不能となるすべての発行済み固定利回り米国債の入札利回りの加重平均(リスクフリー・リターン・プロキシ)。
2 詳しく見る »
3 E(RAVGO) = RF + βAVGO [E(RM) – RF]
= 4.34% + 1.06 [13.74% – 4.34%]
= 14.35%