Modelo de fijación de precios de activos de capital (CAPM)
El modelo de valoración de activos de capital (CAPM) indica cuál debería ser la tasa de rendimiento esperada o requerida de activos de riesgo como las acciones ordinarias de Trade Desk.
Tasas de retorno
Trade Desk Inc., tasas mensuales de retorno
| Trade Desk Inc. (TTD) | Standard & Poor’s 500 (S&P 500) | |||||
|---|---|---|---|---|---|---|
| t | Fecha | PrecioTTD,t1 | DividendoTTD,t1 | RTTD,t2 | PrecioS&P 500,t | RS&P 500,t3 |
| 31 ene 2021 | $76.60 | 3,714.24 | ||||
| 1. | 28 feb 2021 | $80.54 | 5.14% | 3,811.15 | 2.61% | |
| 2. | 31 mar 2021 | $65.17 | -19.08% | 3,972.89 | 4.24% | |
| 3. | 30 abr 2021 | $72.93 | 11.91% | 4,181.17 | 5.24% | |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| 58. | 30 nov 2025 | $39.56 | -21.32% | 6,849.09 | 0.13% | |
| 59. | 31 dic 2025 | $37.96 | -4.04% | 6,845.50 | -0.05% | |
| Promedio (R): | 0.24% | 1.14% | ||||
| Desviación estándar: | 16.92% | 4.37% | ||||
| Trade Desk Inc. (TTD) | Standard & Poor’s 500 (S&P 500) | |||||
|---|---|---|---|---|---|---|
| t | Fecha | PrecioTTD,t1 | DividendoTTD,t1 | RTTD,t2 | PrecioS&P 500,t | RS&P 500,t3 |
| 31 ene 2021 | $76.60 | 3,714.24 | ||||
| 1. | 28 feb 2021 | $80.54 | 5.14% | 3,811.15 | 2.61% | |
| 2. | 31 mar 2021 | $65.17 | -19.08% | 3,972.89 | 4.24% | |
| 3. | 30 abr 2021 | $72.93 | 11.91% | 4,181.17 | 5.24% | |
| 4. | 31 may 2021 | $58.81 | -19.36% | 4,204.11 | 0.55% | |
| 5. | 30 jun 2021 | $77.36 | 31.54% | 4,297.50 | 2.22% | |
| 6. | 31 jul 2021 | $81.91 | 5.88% | 4,395.26 | 2.27% | |
| 7. | 31 ago 2021 | $80.05 | -2.27% | 4,522.68 | 2.90% | |
| 8. | 30 sept 2021 | $70.30 | -12.18% | 4,307.54 | -4.76% | |
| 9. | 31 oct 2021 | $74.91 | 6.56% | 4,605.38 | 6.91% | |
| 10. | 30 nov 2021 | $103.42 | 38.06% | 4,567.00 | -0.83% | |
| 11. | 31 dic 2021 | $91.64 | -11.39% | 4,766.18 | 4.36% | |
| 12. | 31 ene 2022 | $69.54 | -24.12% | 4,515.55 | -5.26% | |
| 13. | 28 feb 2022 | $85.32 | 22.69% | 4,373.94 | -3.14% | |
| 14. | 31 mar 2022 | $69.25 | -18.83% | 4,530.41 | 3.58% | |
| 15. | 30 abr 2022 | $58.92 | -14.92% | 4,131.93 | -8.80% | |
| 16. | 31 may 2022 | $52.05 | -11.66% | 4,132.15 | 0.01% | |
| 17. | 30 jun 2022 | $41.89 | -19.52% | 3,785.38 | -8.39% | |
| 18. | 31 jul 2022 | $45.00 | 7.42% | 4,130.29 | 9.11% | |
| 19. | 31 ago 2022 | $62.70 | 39.33% | 3,955.00 | -4.24% | |
| 20. | 30 sept 2022 | $59.75 | -4.70% | 3,585.62 | -9.34% | |
| 21. | 31 oct 2022 | $53.24 | -10.90% | 3,871.98 | 7.99% | |
| 22. | 30 nov 2022 | $52.14 | -2.07% | 4,080.11 | 5.38% | |
| 23. | 31 dic 2022 | $44.83 | -14.02% | 3,839.50 | -5.90% | |
| 24. | 31 ene 2023 | $50.70 | 13.09% | 4,076.60 | 6.18% | |
| 25. | 28 feb 2023 | $55.96 | 10.37% | 3,970.15 | -2.61% | |
| 26. | 31 mar 2023 | $60.91 | 8.85% | 4,109.31 | 3.51% | |
| 27. | 30 abr 2023 | $64.34 | 5.63% | 4,169.48 | 1.46% | |
| 28. | 31 may 2023 | $70.08 | 8.92% | 4,179.83 | 0.25% | |
| 29. | 30 jun 2023 | $77.22 | 10.19% | 4,376.86 | 4.71% | |
| 30. | 31 jul 2023 | $91.26 | 18.18% | 4,588.96 | 4.85% | |
| 31. | 31 ago 2023 | $80.03 | -12.31% | 4,507.66 | -1.77% | |
| 32. | 30 sept 2023 | $78.15 | -2.35% | 4,288.05 | -4.87% | |
| 33. | 31 oct 2023 | $70.96 | -9.20% | 4,193.80 | -2.20% | |
| 34. | 30 nov 2023 | $70.46 | -0.70% | 4,567.80 | 8.92% | |
| 35. | 31 dic 2023 | $71.96 | 2.13% | 4,769.83 | 4.42% | |
| 36. | 31 ene 2024 | $68.43 | -4.91% | 4,845.65 | 1.59% | |
| 37. | 29 feb 2024 | $85.43 | 24.84% | 5,096.27 | 5.17% | |
| 38. | 31 mar 2024 | $87.42 | 2.33% | 5,254.35 | 3.10% | |
| 39. | 30 abr 2024 | $82.85 | -5.23% | 5,035.69 | -4.16% | |
| 40. | 31 may 2024 | $92.78 | 11.99% | 5,277.51 | 4.80% | |
| 41. | 30 jun 2024 | $97.67 | 5.27% | 5,460.48 | 3.47% | |
| 42. | 31 jul 2024 | $89.88 | -7.98% | 5,522.30 | 1.13% | |
| 43. | 31 ago 2024 | $104.53 | 16.30% | 5,648.40 | 2.28% | |
| 44. | 30 sept 2024 | $109.65 | 4.90% | 5,762.48 | 2.02% | |
| 45. | 31 oct 2024 | $120.21 | 9.63% | 5,705.45 | -0.99% | |
| 46. | 30 nov 2024 | $128.55 | 6.94% | 6,032.38 | 5.73% | |
| 47. | 31 dic 2024 | $117.53 | -8.57% | 5,881.63 | -2.50% | |
| 48. | 31 ene 2025 | $118.68 | 0.98% | 6,040.53 | 2.70% | |
| 49. | 28 feb 2025 | $70.32 | -40.75% | 5,954.50 | -1.42% | |
| 50. | 31 mar 2025 | $54.72 | -22.18% | 5,611.85 | -5.75% | |
| 51. | 30 abr 2025 | $53.63 | -1.99% | 5,569.06 | -0.76% | |
| 52. | 31 may 2025 | $75.22 | 40.26% | 5,911.69 | 6.15% | |
| 53. | 30 jun 2025 | $71.99 | -4.29% | 6,204.95 | 4.96% | |
| 54. | 31 jul 2025 | $86.96 | 20.79% | 6,339.39 | 2.17% | |
| 55. | 31 ago 2025 | $54.66 | -37.14% | 6,460.26 | 1.91% | |
| 56. | 30 sept 2025 | $49.01 | -10.34% | 6,688.46 | 3.53% | |
| 57. | 31 oct 2025 | $50.28 | 2.59% | 6,840.20 | 2.27% | |
| 58. | 30 nov 2025 | $39.56 | -21.32% | 6,849.09 | 0.13% | |
| 59. | 31 dic 2025 | $37.96 | -4.04% | 6,845.50 | -0.05% | |
| Promedio (R): | 0.24% | 1.14% | ||||
| Desviación estándar: | 16.92% | 4.37% | ||||
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 TTD 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
Trade Desk Inc., cálculo de la varianza y covarianza de los rendimientos
| t | Fecha | RTTD,t | RS&P 500,t | (RTTD,t–RTTD)2 | (RS&P 500,t–RS&P 500)2 | (RTTD,t–RTTD)×(RS&P 500,t–RS&P 500) |
|---|---|---|---|---|---|---|
| 1. | 28 feb 2021 | 5.14% | 2.61% | 24.01 | 2.17 | 7.22 |
| 2. | 31 mar 2021 | -19.08% | 4.24% | 373.56 | 9.66 | -60.07 |
| 3. | 30 abr 2021 | 11.91% | 5.24% | 136.03 | 16.86 | 47.89 |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| 58. | 30 nov 2025 | -21.32% | 0.13% | 465.03 | 1.01 | 21.70 |
| 59. | 31 dic 2025 | -4.04% | -0.05% | 18.39 | 1.41 | 5.10 |
| Total (Σ): | 16,598.49 | 1,108.23 | 1,239.54 | |||
| t | Fecha | RTTD,t | RS&P 500,t | (RTTD,t–RTTD)2 | (RS&P 500,t–RS&P 500)2 | (RTTD,t–RTTD)×(RS&P 500,t–RS&P 500) |
|---|---|---|---|---|---|---|
| 1. | 28 feb 2021 | 5.14% | 2.61% | 24.01 | 2.17 | 7.22 |
| 2. | 31 mar 2021 | -19.08% | 4.24% | 373.56 | 9.66 | -60.07 |
| 3. | 30 abr 2021 | 11.91% | 5.24% | 136.03 | 16.86 | 47.89 |
| 4. | 31 may 2021 | -19.36% | 0.55% | 384.36 | 0.35 | 11.52 |
| 5. | 30 jun 2021 | 31.54% | 2.22% | 979.58 | 1.18 | 33.97 |
| 6. | 31 jul 2021 | 5.88% | 2.27% | 31.78 | 1.30 | 6.42 |
| 7. | 31 ago 2021 | -2.27% | 2.90% | 6.32 | 3.11 | -4.43 |
| 8. | 30 sept 2021 | -12.18% | -4.76% | 154.35 | 34.73 | 73.21 |
| 9. | 31 oct 2021 | 6.56% | 6.91% | 39.86 | 33.39 | 36.48 |
| 10. | 30 nov 2021 | 38.06% | -0.83% | 1,429.97 | 3.88 | -74.48 |
| 11. | 31 dic 2021 | -11.39% | 4.36% | 135.36 | 10.40 | -37.52 |
| 12. | 31 ene 2022 | -24.12% | -5.26% | 593.42 | 40.89 | 155.77 |
| 13. | 28 feb 2022 | 22.69% | -3.14% | 503.91 | 18.25 | -95.90 |
| 14. | 31 mar 2022 | -18.83% | 3.58% | 364.01 | 5.96 | -46.58 |
| 15. | 30 abr 2022 | -14.92% | -8.80% | 229.86 | 98.64 | 150.58 |
| 16. | 31 may 2022 | -11.66% | 0.01% | 141.70 | 1.28 | 13.46 |
| 17. | 30 jun 2022 | -19.52% | -8.39% | 390.61 | 90.79 | 188.31 |
| 18. | 31 jul 2022 | 7.42% | 9.11% | 51.55 | 63.61 | 57.27 |
| 19. | 31 ago 2022 | 39.33% | -4.24% | 1,527.97 | 28.95 | -210.31 |
| 20. | 30 sept 2022 | -4.70% | -9.34% | 24.49 | 109.74 | 51.84 |
| 21. | 31 oct 2022 | -10.90% | 7.99% | 124.09 | 46.93 | -76.31 |
| 22. | 30 nov 2022 | -2.07% | 5.38% | 5.34 | 17.97 | -9.79 |
| 23. | 31 dic 2022 | -14.02% | -5.90% | 203.46 | 49.47 | 100.32 |
| 24. | 31 ene 2023 | 13.09% | 6.18% | 165.12 | 25.39 | 64.75 |
| 25. | 28 feb 2023 | 10.37% | -2.61% | 102.63 | 14.04 | -37.96 |
| 26. | 31 mar 2023 | 8.85% | 3.51% | 73.99 | 5.61 | 20.38 |
| 27. | 30 abr 2023 | 5.63% | 1.46% | 29.02 | 0.11 | 1.77 |
| 28. | 31 may 2023 | 8.92% | 0.25% | 75.30 | 0.79 | -7.70 |
| 29. | 30 jun 2023 | 10.19% | 4.71% | 98.89 | 12.80 | 35.58 |
| 30. | 31 jul 2023 | 18.18% | 4.85% | 321.76 | 13.76 | 66.55 |
| 31. | 31 ago 2023 | -12.31% | -1.77% | 157.49 | 8.46 | 36.49 |
| 32. | 30 sept 2023 | -2.35% | -4.87% | 6.72 | 36.10 | 15.58 |
| 33. | 31 oct 2023 | -9.20% | -2.20% | 89.19 | 11.12 | 31.49 |
| 34. | 30 nov 2023 | -0.70% | 8.92% | 0.90 | 60.56 | -7.38 |
| 35. | 31 dic 2023 | 2.13% | 4.42% | 3.55 | 10.80 | 6.20 |
| 36. | 31 ene 2024 | -4.91% | 1.59% | 26.52 | 0.21 | -2.34 |
| 37. | 29 feb 2024 | 24.84% | 5.17% | 605.10 | 16.29 | 99.28 |
| 38. | 31 mar 2024 | 2.33% | 3.10% | 4.35 | 3.86 | 4.10 |
| 39. | 30 abr 2024 | -5.23% | -4.16% | 29.94 | 28.06 | 28.99 |
| 40. | 31 may 2024 | 11.99% | 4.80% | 137.86 | 13.44 | 43.04 |
| 41. | 30 jun 2024 | 5.27% | 3.47% | 25.27 | 5.43 | 11.72 |
| 42. | 31 jul 2024 | -7.98% | 1.13% | 67.57 | 0.00 | 0.03 |
| 43. | 31 ago 2024 | 16.30% | 2.28% | 257.78 | 1.32 | 18.42 |
| 44. | 30 sept 2024 | 4.90% | 2.02% | 21.66 | 0.78 | 4.11 |
| 45. | 31 oct 2024 | 9.63% | -0.99% | 88.11 | 4.52 | -19.95 |
| 46. | 30 nov 2024 | 6.94% | 5.73% | 44.81 | 21.10 | 30.75 |
| 47. | 31 dic 2024 | -8.57% | -2.50% | 77.73 | 13.21 | 32.05 |
| 48. | 31 ene 2025 | 0.98% | 2.70% | 0.54 | 2.45 | 1.15 |
| 49. | 28 feb 2025 | -40.75% | -1.42% | 1,680.37 | 6.56 | 104.95 |
| 50. | 31 mar 2025 | -22.18% | -5.75% | 503.03 | 47.48 | 154.54 |
| 51. | 30 abr 2025 | -1.99% | -0.76% | 5.00 | 3.60 | 4.25 |
| 52. | 31 may 2025 | 40.26% | 6.15% | 1,601.06 | 25.16 | 200.72 |
| 53. | 30 jun 2025 | -4.29% | 4.96% | 20.59 | 14.63 | -17.36 |
| 54. | 31 jul 2025 | 20.79% | 2.17% | 422.32 | 1.06 | 21.18 |
| 55. | 31 ago 2025 | -37.14% | 1.91% | 1,397.83 | 0.59 | -28.81 |
| 56. | 30 sept 2025 | -10.34% | 3.53% | 111.95 | 5.74 | -25.35 |
| 57. | 31 oct 2025 | 2.59% | 2.27% | 5.51 | 1.28 | 2.66 |
| 58. | 30 nov 2025 | -21.32% | 0.13% | 465.03 | 1.01 | 21.70 |
| 59. | 31 dic 2025 | -4.04% | -0.05% | 18.39 | 1.41 | 5.10 |
| Total (Σ): | 16,598.49 | 1,108.23 | 1,239.54 | |||
Mostrar todo
VarianzaTTD = Σ(RTTD,t–RTTD)2 ÷ (59 – 1)
= 16,598.49 ÷ (59 – 1)
= 286.18
VarianzaS&P 500 = Σ(RS&P 500,t–RS&P 500)2 ÷ (59 – 1)
= 1,108.23 ÷ (59 – 1)
= 19.11
CovarianzaTTD, S&P 500 = Σ(RTTD,t–RTTD)×(RS&P 500,t–RS&P 500) ÷ (59 – 1)
= 1,239.54 ÷ (59 – 1)
= 21.37
Estimación sistemática del riesgo (β)
| VarianzaTTD | 286.18 |
| VarianzaS&P 500 | 19.11 |
| CovarianzaTTD, S&P 500 | 21.37 |
| Coeficiente de correlaciónTTD, S&P 5001 | 0.29 |
| βTTD2 | 1.12 |
| αTTD3 | -1.03% |
Cálculos
1 Coeficiente de correlaciónTTD, S&P 500
= CovarianzaTTD, S&P 500 ÷ (Desviación estándarTTD × Desviación estándarS&P 500)
= 21.37 ÷ (16.92% × 4.37%)
= 0.29
2 βTTD
= CovarianzaTTD, S&P 500 ÷ VarianzaS&P 500
= 21.37 ÷ 19.11
= 1.12
3 αTTD
= PromedioTTD – βTTD × PromedioS&P 500
= 0.24% – 1.12 × 1.14%
= -1.03%
Tasa de rendimiento esperada
| Suposiciones | ||
| Tasa de rendimiento del LT Treasury Composite1 | RF | 4.54% |
| Tasa de rendimiento esperada de la cartera de mercado2 | E(RM) | 17.37% |
| Riesgo sistemático de Trade Desk acciones ordinarias | βTTD | 1.12 |
| Tasa de rendimiento esperada de las acciones ordinarias de Trade Desk3 | E(RTTD) | 18.89% |
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(RTTD) = RF + βTTD [E(RM) – RF]
= 4.54% + 1.12 [17.37% – 4.54%]
= 18.89%