Modelo de fijación de precios de activos de capital (CAPM)
El modelo de fijación de precios de activos de capital (CAPM, por sus siglas en inglés) indica cuál debería ser la tasa de rendimiento esperada o requerida en activos de riesgo como las acciones ordinarias de Best Buy.
Tasas de retorno
Best Buy Co. Inc., tasas mensuales de retorno
| Best Buy Co. Inc. (BBY) | Standard & Poor’s 500 (S&P 500) | |||||
|---|---|---|---|---|---|---|
| t | Fecha | PrecioBBY,t1 | DividendoBBY,t1 | RBBY,t2 | PrecioS&P 500,t | RS&P 500,t3 |
| 29 feb. 2016 | $32.39 | 1,932.23 | ||||
| 1. | 31 mar. 2016 | $32.44 | $0.73 | 2.41% | 2,059.74 | 6.60% |
| 2. | 30 abr. 2016 | $32.08 | -1.11% | 2,065.30 | 0.27% | |
| 3. | 31 may. 2016 | $32.17 | 0.28% | 2,096.95 | 1.53% | |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| 70. | 31 dic. 2021 | $101.60 | $0.70 | -4.27% | 4,766.18 | 4.36% |
| 71. | 31 ene. 2022 | $99.28 | -2.28% | 4,515.55 | -5.26% | |
| Promedio (R): | 2.32% | 1.29% | ||||
| Desviación estándar: | 9.91% | 4.25% | ||||
| Best Buy Co. Inc. (BBY) | Standard & Poor’s 500 (S&P 500) | |||||
|---|---|---|---|---|---|---|
| t | Fecha | PrecioBBY,t1 | DividendoBBY,t1 | RBBY,t2 | PrecioS&P 500,t | RS&P 500,t3 |
| 29 feb. 2016 | $32.39 | 1,932.23 | ||||
| 1. | 31 mar. 2016 | $32.44 | $0.73 | 2.41% | 2,059.74 | 6.60% |
| 2. | 30 abr. 2016 | $32.08 | -1.11% | 2,065.30 | 0.27% | |
| 3. | 31 may. 2016 | $32.17 | 0.28% | 2,096.95 | 1.53% | |
| 4. | 30 jun. 2016 | $30.60 | $0.28 | -4.01% | 2,098.86 | 0.09% |
| 5. | 31 jul. 2016 | $33.60 | 9.80% | 2,173.60 | 3.56% | |
| 6. | 31 ago. 2016 | $38.48 | 14.52% | 2,170.95 | -0.12% | |
| 7. | 30 sept. 2016 | $38.18 | $0.28 | -0.05% | 2,168.27 | -0.12% |
| 8. | 31 oct. 2016 | $38.91 | 1.91% | 2,126.15 | -1.94% | |
| 9. | 30 nov. 2016 | $45.70 | 17.45% | 2,198.81 | 3.42% | |
| 10. | 31 dic. 2016 | $42.67 | $0.28 | -6.02% | 2,238.83 | 1.82% |
| 11. | 31 ene. 2017 | $44.52 | 4.34% | 2,278.87 | 1.79% | |
| 12. | 28 feb. 2017 | $44.13 | -0.88% | 2,363.64 | 3.72% | |
| 13. | 31 mar. 2017 | $49.15 | $0.34 | 12.15% | 2,362.72 | -0.04% |
| 14. | 30 abr. 2017 | $51.81 | 5.41% | 2,384.20 | 0.91% | |
| 15. | 31 may. 2017 | $59.39 | 14.63% | 2,411.80 | 1.16% | |
| 16. | 30 jun. 2017 | $57.33 | $0.34 | -2.90% | 2,423.41 | 0.48% |
| 17. | 31 jul. 2017 | $58.34 | 1.76% | 2,470.30 | 1.93% | |
| 18. | 31 ago. 2017 | $54.26 | -6.99% | 2,471.65 | 0.05% | |
| 19. | 30 sept. 2017 | $56.96 | $0.34 | 5.60% | 2,519.36 | 1.93% |
| 20. | 31 oct. 2017 | $55.98 | -1.72% | 2,575.26 | 2.22% | |
| 21. | 30 nov. 2017 | $59.61 | 6.48% | 2,647.58 | 2.81% | |
| 22. | 31 dic. 2017 | $68.47 | $0.34 | 15.43% | 2,673.61 | 0.98% |
| 23. | 31 ene. 2018 | $73.06 | 6.70% | 2,823.81 | 5.62% | |
| 24. | 28 feb. 2018 | $72.44 | -0.85% | 2,713.83 | -3.89% | |
| 25. | 31 mar. 2018 | $69.99 | $0.45 | -2.76% | 2,640.87 | -2.69% |
| 26. | 30 abr. 2018 | $76.53 | 9.34% | 2,648.05 | 0.27% | |
| 27. | 31 may. 2018 | $68.25 | -10.82% | 2,705.27 | 2.16% | |
| 28. | 30 jun. 2018 | $74.58 | $0.45 | 9.93% | 2,718.37 | 0.48% |
| 29. | 31 jul. 2018 | $75.03 | 0.60% | 2,816.29 | 3.60% | |
| 30. | 31 ago. 2018 | $79.56 | 6.04% | 2,901.52 | 3.03% | |
| 31. | 30 sept. 2018 | $79.36 | $0.45 | 0.31% | 2,913.98 | 0.43% |
| 32. | 31 oct. 2018 | $70.16 | -11.59% | 2,711.74 | -6.94% | |
| 33. | 30 nov. 2018 | $64.59 | -7.94% | 2,760.17 | 1.79% | |
| 34. | 31 dic. 2018 | $52.96 | $0.45 | -17.31% | 2,506.85 | -9.18% |
| 35. | 31 ene. 2019 | $59.24 | 11.86% | 2,704.10 | 7.87% | |
| 36. | 28 feb. 2019 | $68.84 | 16.21% | 2,784.49 | 2.97% | |
| 37. | 31 mar. 2019 | $71.06 | $0.50 | 3.95% | 2,834.40 | 1.79% |
| 38. | 30 abr. 2019 | $74.41 | 4.71% | 2,945.83 | 3.93% | |
| 39. | 31 may. 2019 | $62.67 | -15.78% | 2,752.06 | -6.58% | |
| 40. | 30 jun. 2019 | $69.73 | $0.50 | 12.06% | 2,941.76 | 6.89% |
| 41. | 31 jul. 2019 | $76.53 | 9.75% | 2,980.38 | 1.31% | |
| 42. | 31 ago. 2019 | $63.65 | -16.83% | 2,926.46 | -1.81% | |
| 43. | 30 sept. 2019 | $68.99 | $0.50 | 9.18% | 2,976.74 | 1.72% |
| 44. | 31 oct. 2019 | $71.83 | 4.12% | 3,037.56 | 2.04% | |
| 45. | 30 nov. 2019 | $80.64 | 12.27% | 3,140.98 | 3.40% | |
| 46. | 31 dic. 2019 | $87.80 | $0.50 | 9.50% | 3,230.78 | 2.86% |
| 47. | 31 ene. 2020 | $84.69 | -3.54% | 3,225.52 | -0.16% | |
| 48. | 29 feb. 2020 | $75.65 | -10.67% | 2,954.22 | -8.41% | |
| 49. | 31 mar. 2020 | $57.00 | $0.55 | -23.93% | 2,584.59 | -12.51% |
| 50. | 30 abr. 2020 | $76.73 | 34.61% | 2,912.43 | 12.68% | |
| 51. | 31 may. 2020 | $78.09 | 1.77% | 3,044.31 | 4.53% | |
| 52. | 30 jun. 2020 | $87.27 | $0.55 | 12.46% | 3,100.29 | 1.84% |
| 53. | 31 jul. 2020 | $99.59 | 14.12% | 3,271.12 | 5.51% | |
| 54. | 31 ago. 2020 | $110.91 | 11.37% | 3,500.31 | 7.01% | |
| 55. | 30 sept. 2020 | $111.29 | $0.55 | 0.84% | 3,363.00 | -3.92% |
| 56. | 31 oct. 2020 | $111.55 | 0.23% | 3,269.96 | -2.77% | |
| 57. | 30 nov. 2020 | $108.80 | -2.47% | 3,621.63 | 10.75% | |
| 58. | 31 dic. 2020 | $99.79 | $0.55 | -7.78% | 3,756.07 | 3.71% |
| 59. | 31 ene. 2021 | $108.82 | 9.05% | 3,714.24 | -1.11% | |
| 60. | 28 feb. 2021 | $100.35 | -7.78% | 3,811.15 | 2.61% | |
| 61. | 31 mar. 2021 | $114.81 | $0.70 | 15.11% | 3,972.89 | 4.24% |
| 62. | 30 abr. 2021 | $116.27 | 1.27% | 4,181.17 | 5.24% | |
| 63. | 31 may. 2021 | $116.24 | -0.03% | 4,204.11 | 0.55% | |
| 64. | 30 jun. 2021 | $114.98 | $0.70 | -0.48% | 4,297.50 | 2.22% |
| 65. | 31 jul. 2021 | $112.35 | -2.29% | 4,395.26 | 2.27% | |
| 66. | 31 ago. 2021 | $116.51 | 3.70% | 4,522.68 | 2.90% | |
| 67. | 30 sept. 2021 | $105.71 | $0.70 | -8.67% | 4,307.54 | -4.76% |
| 68. | 31 oct. 2021 | $122.24 | 15.64% | 4,605.38 | 6.91% | |
| 69. | 30 nov. 2021 | $106.86 | -12.58% | 4,567.00 | -0.83% | |
| 70. | 31 dic. 2021 | $101.60 | $0.70 | -4.27% | 4,766.18 | 4.36% |
| 71. | 31 ene. 2022 | $99.28 | -2.28% | 4,515.55 | -5.26% | |
| Promedio (R): | 2.32% | 1.29% | ||||
| Desviación estándar: | 9.91% | 4.25% | ||||
Mostrar todo
1 Datos en dólares estadounidenses por acción ordinaria, ajustados por divisiones y dividendos de acciones.
2 Tasa de rendimiento de las acciones ordinarias de BBY durante el período t.
3 Tasa de rendimiento del S&P 500 (el proxy de la cartera de mercado) durante el período t.
Varianza y covarianza
Best Buy Co. Inc., cálculo de la varianza y covarianza de los rendimientos
| t | Fecha | RBBY,t | RS&P 500,t | (RBBY,t–RBBY)2 | (RS&P 500,t–RS&P 500)2 | (RBBY,t–RBBY)×(RS&P 500,t–RS&P 500) |
|---|---|---|---|---|---|---|
| 1. | 31 mar. 2016 | 2.41% | 6.60% | 0.01 | 28.16 | 0.48 |
| 2. | 30 abr. 2016 | -1.11% | 0.27% | 11.75 | 1.05 | 3.50 |
| 3. | 31 may. 2016 | 0.28% | 1.53% | 4.15 | 0.06 | -0.49 |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| 70. | 31 dic. 2021 | -4.27% | 4.36% | 43.37 | 9.42 | -20.21 |
| 71. | 31 ene. 2022 | -2.28% | -5.26% | 21.17 | 42.91 | 30.14 |
| Total (Σ): | 6,868.63 | 1,262.70 | 1,873.35 | |||
| t | Fecha | RBBY,t | RS&P 500,t | (RBBY,t–RBBY)2 | (RS&P 500,t–RS&P 500)2 | (RBBY,t–RBBY)×(RS&P 500,t–RS&P 500) |
|---|---|---|---|---|---|---|
| 1. | 31 mar. 2016 | 2.41% | 6.60% | 0.01 | 28.16 | 0.48 |
| 2. | 30 abr. 2016 | -1.11% | 0.27% | 11.75 | 1.05 | 3.50 |
| 3. | 31 may. 2016 | 0.28% | 1.53% | 4.15 | 0.06 | -0.49 |
| 4. | 30 jun. 2016 | -4.01% | 0.09% | 40.04 | 1.44 | 7.60 |
| 5. | 31 jul. 2016 | 9.80% | 3.56% | 56.04 | 5.15 | 16.98 |
| 6. | 31 ago. 2016 | 14.52% | -0.12% | 148.98 | 2.00 | -17.26 |
| 7. | 30 sept. 2016 | -0.05% | -0.12% | 5.62 | 2.00 | 3.36 |
| 8. | 31 oct. 2016 | 1.91% | -1.94% | 0.16 | 10.46 | 1.31 |
| 9. | 30 nov. 2016 | 17.45% | 3.42% | 228.99 | 4.52 | 32.16 |
| 10. | 31 dic. 2016 | -6.02% | 1.82% | 69.48 | 0.28 | -4.40 |
| 11. | 31 ene. 2017 | 4.34% | 1.79% | 4.07 | 0.25 | 1.00 |
| 12. | 28 feb. 2017 | -0.88% | 3.72% | 10.20 | 5.89 | -7.75 |
| 13. | 31 mar. 2017 | 12.15% | -0.04% | 96.59 | 1.77 | -13.08 |
| 14. | 30 abr. 2017 | 5.41% | 0.91% | 9.57 | 0.15 | -1.19 |
| 15. | 31 may. 2017 | 14.63% | 1.16% | 151.60 | 0.02 | -1.66 |
| 16. | 30 jun. 2017 | -2.90% | 0.48% | 27.19 | 0.66 | 4.23 |
| 17. | 31 jul. 2017 | 1.76% | 1.93% | 0.31 | 0.41 | -0.36 |
| 18. | 31 ago. 2017 | -6.99% | 0.05% | 86.70 | 1.53 | 11.52 |
| 19. | 30 sept. 2017 | 5.60% | 1.93% | 10.79 | 0.41 | 2.10 |
| 20. | 31 oct. 2017 | -1.72% | 2.22% | 16.31 | 0.86 | -3.74 |
| 21. | 30 nov. 2017 | 6.48% | 2.81% | 17.36 | 2.30 | 6.32 |
| 22. | 31 dic. 2017 | 15.43% | 0.98% | 172.02 | 0.10 | -4.05 |
| 23. | 31 ene. 2018 | 6.70% | 5.62% | 19.23 | 18.71 | 18.97 |
| 24. | 28 feb. 2018 | -0.85% | -3.89% | 10.03 | 26.90 | 16.43 |
| 25. | 31 mar. 2018 | -2.76% | -2.69% | 25.80 | 15.85 | 20.22 |
| 26. | 30 abr. 2018 | 9.34% | 0.27% | 49.37 | 1.04 | -7.17 |
| 27. | 31 may. 2018 | -10.82% | 2.16% | 172.59 | 0.75 | -11.41 |
| 28. | 30 jun. 2018 | 9.93% | 0.48% | 58.00 | 0.65 | -6.15 |
| 29. | 31 jul. 2018 | 0.60% | 3.60% | 2.94 | 5.34 | -3.96 |
| 30. | 31 ago. 2018 | 6.04% | 3.03% | 13.84 | 3.01 | 6.45 |
| 31. | 30 sept. 2018 | 0.31% | 0.43% | 4.02 | 0.74 | 1.73 |
| 32. | 31 oct. 2018 | -11.59% | -6.94% | 193.51 | 67.78 | 114.52 |
| 33. | 30 nov. 2018 | -7.94% | 1.79% | 105.21 | 0.24 | -5.06 |
| 34. | 31 dic. 2018 | -17.31% | -9.18% | 385.23 | 109.62 | 205.50 |
| 35. | 31 ene. 2019 | 11.86% | 7.87% | 91.01 | 43.25 | 62.74 |
| 36. | 28 feb. 2019 | 16.21% | 2.97% | 192.86 | 2.82 | 23.34 |
| 37. | 31 mar. 2019 | 3.95% | 1.79% | 2.67 | 0.25 | 0.82 |
| 38. | 30 abr. 2019 | 4.71% | 3.93% | 5.74 | 6.96 | 6.32 |
| 39. | 31 may. 2019 | -15.78% | -6.58% | 327.44 | 61.94 | 142.41 |
| 40. | 30 jun. 2019 | 12.06% | 6.89% | 94.97 | 31.37 | 54.58 |
| 41. | 31 jul. 2019 | 9.75% | 1.31% | 55.26 | 0.00 | 0.15 |
| 42. | 31 ago. 2019 | -16.83% | -1.81% | 366.65 | 9.62 | 59.39 |
| 43. | 30 sept. 2019 | 9.18% | 1.72% | 47.02 | 0.18 | 2.92 |
| 44. | 31 oct. 2019 | 4.12% | 2.04% | 3.23 | 0.56 | 1.35 |
| 45. | 30 nov. 2019 | 12.27% | 3.40% | 98.94 | 4.46 | 21.01 |
| 46. | 31 dic. 2019 | 9.50% | 2.86% | 51.57 | 2.45 | 11.25 |
| 47. | 31 ene. 2020 | -3.54% | -0.16% | 34.34 | 2.12 | 8.53 |
| 48. | 29 feb. 2020 | -10.67% | -8.41% | 168.80 | 94.15 | 126.07 |
| 49. | 31 mar. 2020 | -23.93% | -12.51% | 688.75 | 190.56 | 362.28 |
| 50. | 30 abr. 2020 | 34.61% | 12.68% | 1,043.04 | 129.78 | 367.92 |
| 51. | 31 may. 2020 | 1.77% | 4.53% | 0.30 | 10.47 | -1.77 |
| 52. | 30 jun. 2020 | 12.46% | 1.84% | 102.86 | 0.30 | 5.54 |
| 53. | 31 jul. 2020 | 14.12% | 5.51% | 139.22 | 17.79 | 49.77 |
| 54. | 31 ago. 2020 | 11.37% | 7.01% | 81.88 | 32.65 | 51.71 |
| 55. | 30 sept. 2020 | 0.84% | -3.92% | 2.19 | 27.20 | 7.72 |
| 56. | 31 oct. 2020 | 0.23% | -2.77% | 4.34 | 16.47 | 8.46 |
| 57. | 30 nov. 2020 | -2.47% | 10.75% | 22.88 | 89.54 | -45.26 |
| 58. | 31 dic. 2020 | -7.78% | 3.71% | 101.88 | 5.86 | -24.43 |
| 59. | 31 ene. 2021 | 9.05% | -1.11% | 45.31 | 5.79 | -16.19 |
| 60. | 28 feb. 2021 | -7.78% | 2.61% | 102.04 | 1.73 | -13.30 |
| 61. | 31 mar. 2021 | 15.11% | 4.24% | 163.56 | 8.71 | 37.75 |
| 62. | 30 abr. 2021 | 1.27% | 5.24% | 1.09 | 15.60 | -4.13 |
| 63. | 31 may. 2021 | -0.03% | 0.55% | 5.49 | 0.55 | 1.74 |
| 64. | 30 jun. 2021 | -0.48% | 2.22% | 7.84 | 0.86 | -2.60 |
| 65. | 31 jul. 2021 | -2.29% | 2.27% | 21.21 | 0.97 | -4.53 |
| 66. | 31 ago. 2021 | 3.70% | 2.90% | 1.92 | 2.58 | 2.22 |
| 67. | 30 sept. 2021 | -8.67% | -4.76% | 120.71 | 36.59 | 66.46 |
| 68. | 31 oct. 2021 | 15.64% | 6.91% | 177.40 | 31.61 | 74.88 |
| 69. | 30 nov. 2021 | -12.58% | -0.83% | 222.00 | 4.52 | 31.67 |
| 70. | 31 dic. 2021 | -4.27% | 4.36% | 43.37 | 9.42 | -20.21 |
| 71. | 31 ene. 2022 | -2.28% | -5.26% | 21.17 | 42.91 | 30.14 |
| Total (Σ): | 6,868.63 | 1,262.70 | 1,873.35 | |||
Mostrar todo
VarianzaBBY = Σ(RBBY,t–RBBY)2 ÷ (71 – 1)
= 6,868.63 ÷ (71 – 1)
= 98.12
VarianzaS&P 500 = Σ(RS&P 500,t–RS&P 500)2 ÷ (71 – 1)
= 1,262.70 ÷ (71 – 1)
= 18.04
CovarianzaBBY, S&P 500 = Σ(RBBY,t–RBBY)×(RS&P 500,t–RS&P 500) ÷ (71 – 1)
= 1,873.35 ÷ (71 – 1)
= 26.76
Estimación sistemática del riesgo (β)
| VarianzaBBY | 98.12 |
| VarianzaS&P 500 | 18.04 |
| CovarianzaBBY, S&P 500 | 26.76 |
| Coeficiente de correlaciónBBY, S&P 5001 | 0.64 |
| βBBY2 | 1.48 |
| αBBY3 | 0.40% |
Cálculos
1 Coeficiente de correlaciónBBY, S&P 500
= CovarianzaBBY, S&P 500 ÷ (Desviación estándarBBY × Desviación estándarS&P 500)
= 26.76 ÷ (9.91% × 4.25%)
= 0.64
2 βBBY
= CovarianzaBBY, S&P 500 ÷ VarianzaS&P 500
= 26.76 ÷ 18.04
= 1.48
3 αBBY
= PromedioBBY – βBBY × PromedioS&P 500
= 2.32% – 1.48 × 1.29%
= 0.40%
Tasa de rendimiento esperada
| Suposiciones | ||
| Tasa de rendimiento del LT Treasury Composite1 | RF | 4.68% |
| Tasa de rendimiento esperada de la cartera de mercado2 | E(RM) | 13.79% |
| Riesgo sistemático de Best Buy acciones ordinarias | βBBY | 1.48 |
| Tasa de rendimiento esperada de las acciones ordinarias de Best Buy3 | E(RBBY) | 18.19% |
1 Promedio no ponderado de los rendimientos de las ofertas de todos los bonos del Tesoro de EE. UU. con cupón fijo en circulación que no vencen ni son rescatables en menos de 10 años (proxy de tasa de rendimiento libre de riesgo).
3 E(RBBY) = RF + βBBY [E(RM) – RF]
= 4.68% + 1.48 [13.79% – 4.68%]
= 18.19%