Modelo de fijación de precios de activos de capital (CAPM)
El modelo de fijación de precios de activos de capital (CAPM) indica cuál debería ser la tasa de rendimiento esperada o requerida de los activos de riesgo, como las acciones ordinarias de Meta.
Tasas de retorno
Meta Platforms Inc., tasas mensuales de retorno
| Meta Platforms Inc. (META) | Standard & Poor’s 500 (S&P 500) | |||||
|---|---|---|---|---|---|---|
| t | Fecha | PrecioMETA,t1 | DividendoMETA,t1 | RMETA,t2 | PrecioS&P 500,t | RS&P 500,t3 |
| 31 ene. 2018 | $186.89 | 2,823.81 | ||||
| 1. | 28 feb. 2018 | $178.32 | -4.59% | 2,713.83 | -3.89% | |
| 2. | 31 mar. 2018 | $159.79 | -10.39% | 2,640.87 | -2.69% | |
| 3. | 30 abr. 2018 | $172.00 | 7.64% | 2,648.05 | 0.27% | |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| 57. | 31 oct. 2022 | $93.16 | -31.34% | 3,871.98 | 7.99% | |
| 58. | 30 nov. 2022 | $118.10 | 26.77% | 4,080.11 | 5.38% | |
| Promedio (R): | -0.13% | 0.78% | ||||
| Desviación estándar: | 11.37% | 5.38% | ||||
| Meta Platforms Inc. (META) | Standard & Poor’s 500 (S&P 500) | |||||
|---|---|---|---|---|---|---|
| t | Fecha | PrecioMETA,t1 | DividendoMETA,t1 | RMETA,t2 | PrecioS&P 500,t | RS&P 500,t3 |
| 31 ene. 2018 | $186.89 | 2,823.81 | ||||
| 1. | 28 feb. 2018 | $178.32 | -4.59% | 2,713.83 | -3.89% | |
| 2. | 31 mar. 2018 | $159.79 | -10.39% | 2,640.87 | -2.69% | |
| 3. | 30 abr. 2018 | $172.00 | 7.64% | 2,648.05 | 0.27% | |
| 4. | 31 may. 2018 | $191.78 | 11.50% | 2,705.27 | 2.16% | |
| 5. | 30 jun. 2018 | $194.32 | 1.32% | 2,718.37 | 0.48% | |
| 6. | 31 jul. 2018 | $172.58 | -11.19% | 2,816.29 | 3.60% | |
| 7. | 31 ago. 2018 | $175.73 | 1.83% | 2,901.52 | 3.03% | |
| 8. | 30 sept. 2018 | $164.46 | -6.41% | 2,913.98 | 0.43% | |
| 9. | 31 oct. 2018 | $151.79 | -7.70% | 2,711.74 | -6.94% | |
| 10. | 30 nov. 2018 | $140.61 | -7.37% | 2,760.17 | 1.79% | |
| 11. | 31 dic. 2018 | $131.09 | -6.77% | 2,506.85 | -9.18% | |
| 12. | 31 ene. 2019 | $166.69 | 27.16% | 2,704.10 | 7.87% | |
| 13. | 28 feb. 2019 | $161.45 | -3.14% | 2,784.49 | 2.97% | |
| 14. | 31 mar. 2019 | $166.69 | 3.25% | 2,834.40 | 1.79% | |
| 15. | 30 abr. 2019 | $193.40 | 16.02% | 2,945.83 | 3.93% | |
| 16. | 31 may. 2019 | $177.47 | -8.24% | 2,752.06 | -6.58% | |
| 17. | 30 jun. 2019 | $193.00 | 8.75% | 2,941.76 | 6.89% | |
| 18. | 31 jul. 2019 | $194.23 | 0.64% | 2,980.38 | 1.31% | |
| 19. | 31 ago. 2019 | $185.67 | -4.41% | 2,926.46 | -1.81% | |
| 20. | 30 sept. 2019 | $178.08 | -4.09% | 2,976.74 | 1.72% | |
| 21. | 31 oct. 2019 | $191.65 | 7.62% | 3,037.56 | 2.04% | |
| 22. | 30 nov. 2019 | $201.64 | 5.21% | 3,140.98 | 3.40% | |
| 23. | 31 dic. 2019 | $205.25 | 1.79% | 3,230.78 | 2.86% | |
| 24. | 31 ene. 2020 | $201.91 | -1.63% | 3,225.52 | -0.16% | |
| 25. | 29 feb. 2020 | $192.47 | -4.68% | 2,954.22 | -8.41% | |
| 26. | 31 mar. 2020 | $166.80 | -13.34% | 2,584.59 | -12.51% | |
| 27. | 30 abr. 2020 | $204.71 | 22.73% | 2,912.43 | 12.68% | |
| 28. | 31 may. 2020 | $225.09 | 9.96% | 3,044.31 | 4.53% | |
| 29. | 30 jun. 2020 | $227.07 | 0.88% | 3,100.29 | 1.84% | |
| 30. | 31 jul. 2020 | $253.67 | 11.71% | 3,271.12 | 5.51% | |
| 31. | 31 ago. 2020 | $293.20 | 15.58% | 3,500.31 | 7.01% | |
| 32. | 30 sept. 2020 | $261.90 | -10.68% | 3,363.00 | -3.92% | |
| 33. | 31 oct. 2020 | $263.11 | 0.46% | 3,269.96 | -2.77% | |
| 34. | 30 nov. 2020 | $276.97 | 5.27% | 3,621.63 | 10.75% | |
| 35. | 31 dic. 2020 | $273.16 | -1.38% | 3,756.07 | 3.71% | |
| 36. | 31 ene. 2021 | $258.33 | -5.43% | 3,714.24 | -1.11% | |
| 37. | 28 feb. 2021 | $257.62 | -0.27% | 3,811.15 | 2.61% | |
| 38. | 31 mar. 2021 | $294.53 | 14.33% | 3,972.89 | 4.24% | |
| 39. | 30 abr. 2021 | $325.08 | 10.37% | 4,181.17 | 5.24% | |
| 40. | 31 may. 2021 | $328.73 | 1.12% | 4,204.11 | 0.55% | |
| 41. | 30 jun. 2021 | $347.71 | 5.77% | 4,297.50 | 2.22% | |
| 42. | 31 jul. 2021 | $356.30 | 2.47% | 4,395.26 | 2.27% | |
| 43. | 31 ago. 2021 | $379.38 | 6.48% | 4,522.68 | 2.90% | |
| 44. | 30 sept. 2021 | $339.39 | -10.54% | 4,307.54 | -4.76% | |
| 45. | 31 oct. 2021 | $323.57 | -4.66% | 4,605.38 | 6.91% | |
| 46. | 30 nov. 2021 | $324.46 | 0.28% | 4,567.00 | -0.83% | |
| 47. | 31 dic. 2021 | $336.35 | 3.66% | 4,766.18 | 4.36% | |
| 48. | 31 ene. 2022 | $313.26 | -6.86% | 4,515.55 | -5.26% | |
| 49. | 28 feb. 2022 | $211.03 | -32.63% | 4,373.94 | -3.14% | |
| 50. | 31 mar. 2022 | $222.36 | 5.37% | 4,530.41 | 3.58% | |
| 51. | 30 abr. 2022 | $200.47 | -9.84% | 4,131.93 | -8.80% | |
| 52. | 31 may. 2022 | $193.64 | -3.41% | 4,132.15 | 0.01% | |
| 53. | 30 jun. 2022 | $161.25 | -16.73% | 3,785.38 | -8.39% | |
| 54. | 31 jul. 2022 | $159.10 | -1.33% | 4,130.29 | 9.11% | |
| 55. | 31 ago. 2022 | $162.93 | 2.41% | 3,955.00 | -4.24% | |
| 56. | 30 sept. 2022 | $135.68 | -16.72% | 3,585.62 | -9.34% | |
| 57. | 31 oct. 2022 | $93.16 | -31.34% | 3,871.98 | 7.99% | |
| 58. | 30 nov. 2022 | $118.10 | 26.77% | 4,080.11 | 5.38% | |
| Promedio (R): | -0.13% | 0.78% | ||||
| Desviación estándar: | 11.37% | 5.38% | ||||
Mostrar todo
1 Datos en US$ por acción de acciones ordinarias, ajustados por escisiones y dividendos de acciones.
2 Tasa de rendimiento de las acciones ordinarias de META 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
Meta Platforms Inc., cálculo de la varianza y covarianza de los rendimientos
| t | Fecha | RMETA,t | RS&P 500,t | (RMETA,t–RMETA)2 | (RS&P 500,t–RS&P 500)2 | (RMETA,t–RMETA)×(RS&P 500,t–RS&P 500) |
|---|---|---|---|---|---|---|
| 1. | 28 feb. 2018 | -4.59% | -3.89% | 19.87 | 21.85 | 20.84 |
| 2. | 31 mar. 2018 | -10.39% | -2.69% | 105.34 | 12.03 | 35.60 |
| 3. | 30 abr. 2018 | 7.64% | 0.27% | 60.36 | 0.26 | -3.95 |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| 57. | 31 oct. 2022 | -31.34% | 7.99% | 974.10 | 51.93 | -224.92 |
| 58. | 30 nov. 2022 | 26.77% | 5.38% | 723.55 | 21.12 | 123.61 |
| Total (Σ): | 7,363.07 | 1,647.65 | 1,983.33 | |||
| t | Fecha | RMETA,t | RS&P 500,t | (RMETA,t–RMETA)2 | (RS&P 500,t–RS&P 500)2 | (RMETA,t–RMETA)×(RS&P 500,t–RS&P 500) |
|---|---|---|---|---|---|---|
| 1. | 28 feb. 2018 | -4.59% | -3.89% | 19.87 | 21.85 | 20.84 |
| 2. | 31 mar. 2018 | -10.39% | -2.69% | 105.34 | 12.03 | 35.60 |
| 3. | 30 abr. 2018 | 7.64% | 0.27% | 60.36 | 0.26 | -3.95 |
| 4. | 31 may. 2018 | 11.50% | 2.16% | 135.21 | 1.91 | 16.06 |
| 5. | 30 jun. 2018 | 1.32% | 0.48% | 2.11 | 0.09 | -0.43 |
| 6. | 31 jul. 2018 | -11.19% | 3.60% | 122.32 | 7.97 | -31.21 |
| 7. | 31 ago. 2018 | 1.83% | 3.03% | 3.81 | 5.05 | 4.39 |
| 8. | 30 sept. 2018 | -6.41% | 0.43% | 39.51 | 0.12 | 2.20 |
| 9. | 31 oct. 2018 | -7.70% | -6.94% | 57.40 | 59.60 | 58.49 |
| 10. | 30 nov. 2018 | -7.37% | 1.79% | 52.38 | 1.01 | -7.28 |
| 11. | 31 dic. 2018 | -6.77% | -9.18% | 44.13 | 99.15 | 66.14 |
| 12. | 31 ene. 2019 | 27.16% | 7.87% | 744.46 | 50.25 | 193.41 |
| 13. | 28 feb. 2019 | -3.14% | 2.97% | 9.09 | 4.81 | -6.61 |
| 14. | 31 mar. 2019 | 3.25% | 1.79% | 11.38 | 1.03 | 3.42 |
| 15. | 30 abr. 2019 | 16.02% | 3.93% | 260.87 | 9.93 | 50.90 |
| 16. | 31 may. 2019 | -8.24% | -6.58% | 65.76 | 54.13 | 59.66 |
| 17. | 30 jun. 2019 | 8.75% | 6.89% | 78.83 | 37.37 | 54.28 |
| 18. | 31 jul. 2019 | 0.64% | 1.31% | 0.59 | 0.28 | 0.41 |
| 19. | 31 ago. 2019 | -4.41% | -1.81% | 18.31 | 6.70 | 11.08 |
| 20. | 30 sept. 2019 | -4.09% | 1.72% | 15.68 | 0.88 | -3.72 |
| 21. | 31 oct. 2019 | 7.62% | 2.04% | 60.03 | 1.60 | 9.79 |
| 22. | 30 nov. 2019 | 5.21% | 3.40% | 28.52 | 6.89 | 14.02 |
| 23. | 31 dic. 2019 | 1.79% | 2.86% | 3.68 | 4.32 | 3.99 |
| 24. | 31 ene. 2020 | -1.63% | -0.16% | 2.25 | 0.89 | 1.41 |
| 25. | 29 feb. 2020 | -4.68% | -8.41% | 20.68 | 84.47 | 41.80 |
| 26. | 31 mar. 2020 | -13.34% | -12.51% | 174.49 | 176.67 | 175.57 |
| 27. | 30 abr. 2020 | 22.73% | 12.68% | 522.38 | 141.72 | 272.09 |
| 28. | 31 may. 2020 | 9.96% | 4.53% | 101.67 | 14.05 | 37.80 |
| 29. | 30 jun. 2020 | 0.88% | 1.84% | 1.02 | 1.12 | 1.07 |
| 30. | 31 jul. 2020 | 11.71% | 5.51% | 140.24 | 22.38 | 56.02 |
| 31. | 31 ago. 2020 | 15.58% | 7.01% | 246.84 | 38.77 | 97.83 |
| 32. | 30 sept. 2020 | -10.68% | -3.92% | 111.25 | 22.11 | 49.60 |
| 33. | 31 oct. 2020 | 0.46% | -2.77% | 0.35 | 12.58 | -2.09 |
| 34. | 30 nov. 2020 | 5.27% | 10.75% | 29.11 | 99.50 | 53.82 |
| 35. | 31 dic. 2020 | -1.38% | 3.71% | 1.56 | 8.60 | -3.66 |
| 36. | 31 ene. 2021 | -5.43% | -1.11% | 28.10 | 3.59 | 10.04 |
| 37. | 28 feb. 2021 | -0.27% | 2.61% | 0.02 | 3.35 | -0.27 |
| 38. | 31 mar. 2021 | 14.33% | 4.24% | 208.95 | 12.00 | 50.07 |
| 39. | 30 abr. 2021 | 10.37% | 5.24% | 110.26 | 19.92 | 46.86 |
| 40. | 31 may. 2021 | 1.12% | 0.55% | 1.56 | 0.05 | -0.29 |
| 41. | 30 jun. 2021 | 5.77% | 2.22% | 34.83 | 2.08 | 8.51 |
| 42. | 31 jul. 2021 | 2.47% | 2.27% | 6.75 | 2.24 | 3.88 |
| 43. | 31 ago. 2021 | 6.48% | 2.90% | 43.63 | 4.49 | 14.00 |
| 44. | 30 sept. 2021 | -10.54% | -4.76% | 108.43 | 30.66 | 57.65 |
| 45. | 31 oct. 2021 | -4.66% | 6.91% | 20.55 | 37.63 | -27.81 |
| 46. | 30 nov. 2021 | 0.28% | -0.83% | 0.16 | 2.60 | -0.65 |
| 47. | 31 dic. 2021 | 3.66% | 4.36% | 14.38 | 12.83 | 13.58 |
| 48. | 31 ene. 2022 | -6.86% | -5.26% | 45.39 | 36.46 | 40.68 |
| 49. | 28 feb. 2022 | -32.63% | -3.14% | 1,056.67 | 15.33 | 127.29 |
| 50. | 31 mar. 2022 | 5.37% | 3.58% | 30.21 | 7.83 | 15.38 |
| 51. | 30 abr. 2022 | -9.84% | -8.80% | 94.41 | 91.69 | 93.04 |
| 52. | 31 may. 2022 | -3.41% | 0.01% | 10.75 | 0.60 | 2.54 |
| 53. | 30 jun. 2022 | -16.73% | -8.39% | 275.53 | 84.12 | 152.24 |
| 54. | 31 jul. 2022 | -1.33% | 9.11% | 1.45 | 69.42 | -10.04 |
| 55. | 31 ago. 2022 | 2.41% | -4.24% | 6.43 | 25.24 | -12.74 |
| 56. | 30 sept. 2022 | -16.72% | -9.34% | 275.47 | 102.40 | 167.95 |
| 57. | 31 oct. 2022 | -31.34% | 7.99% | 974.10 | 51.93 | -224.92 |
| 58. | 30 nov. 2022 | 26.77% | 5.38% | 723.55 | 21.12 | 123.61 |
| Total (Σ): | 7,363.07 | 1,647.65 | 1,983.33 | |||
Mostrar todo
VarianzaMETA = Σ(RMETA,t–RMETA)2 ÷ (58 – 1)
= 7,363.07 ÷ (58 – 1)
= 129.18
VarianzaS&P 500 = Σ(RS&P 500,t–RS&P 500)2 ÷ (58 – 1)
= 1,647.65 ÷ (58 – 1)
= 28.91
CovarianzaMETA, S&P 500 = Σ(RMETA,t–RMETA)×(RS&P 500,t–RS&P 500) ÷ (58 – 1)
= 1,983.33 ÷ (58 – 1)
= 34.80
Estimación sistemática del riesgo (β)
| VarianzaMETA | 129.18 |
| VarianzaS&P 500 | 28.91 |
| CovarianzaMETA, S&P 500 | 34.80 |
| Coeficiente de correlaciónMETA, S&P 5001 | 0.57 |
| βMETA2 | 1.20 |
| αMETA3 | -1.07% |
Cálculos
1 Coeficiente de correlaciónMETA, S&P 500
= CovarianzaMETA, S&P 500 ÷ (Desviación estándarMETA × Desviación estándarS&P 500)
= 34.80 ÷ (11.37% × 5.38%)
= 0.57
2 βMETA
= CovarianzaMETA, S&P 500 ÷ VarianzaS&P 500
= 34.80 ÷ 28.91
= 1.20
3 αMETA
= PromedioMETA – βMETA × PromedioS&P 500
= -0.13% – 1.20 × 0.78%
= -1.07%
Tasa de rendimiento esperada
| Suposiciones | ||
| Tasa de rendimiento de LT Treasury Composite1 | RF | 3.63% |
| Tasa de rendimiento esperada de la cartera de mercado2 | E(RM) | 12.50% |
| Riesgo sistemático de acciones ordinarias Meta | βMETA | 1.20 |
| Tasa de rendimiento esperada de las acciones ordinarias de Meta3 | E(RMETA) | 14.30% |
1 Promedio no ponderado de los rendimientos de las ofertas en todos los bonos del Tesoro de los Estados Unidos con cupón fijo pendientes, ni vencidos ni exigibles en menos de 10 años (proxy de tasa de rendimiento libre de riesgo).
3 E(RMETA) = RF + βMETA [E(RM) – RF]
= 3.63% + 1.20 [12.50% – 3.63%]
= 14.30%