Capital asset pricing model (CAPM) indicates what should be the expected or required rate of return on risky assets like DoorDash, Inc. common stock.
Rates of Return
| DoorDash, Inc. (DASH) | Standard & Poor’s 500 (S&P 500) | |||||
|---|---|---|---|---|---|---|
| t | Date | PriceDASH,t1 | DividendDASH,t1 | RDASH,t2 | PriceS&P 500,t | RS&P 500,t3 |
| Jan 31, 2021 | $193.27 | 3,714.24 | ||||
| 1. | Feb 28, 2021 | $169.49 | -12.30% | 3,811.15 | 2.61% | |
| 2. | Mar 31, 2021 | $131.13 | -22.63% | 3,972.89 | 4.24% | |
| 3. | Apr 30, 2021 | $143.17 | 9.18% | 4,181.17 | 5.24% | |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| 58. | Nov 30, 2025 | $198.37 | -22.02% | 6,849.09 | 0.13% | |
| 59. | Dec 31, 2025 | $226.48 | 14.17% | 6,845.50 | -0.05% | |
| Average (R): | 1.21% | 1.14% | ||||
| Standard deviation: | 13.71% | 4.37% | ||||
| DoorDash, Inc. (DASH) | Standard & Poor’s 500 (S&P 500) | |||||
|---|---|---|---|---|---|---|
| t | Date | PriceDASH,t1 | DividendDASH,t1 | RDASH,t2 | PriceS&P 500,t | RS&P 500,t3 |
| Jan 31, 2021 | $193.27 | 3,714.24 | ||||
| 1. | Feb 28, 2021 | $169.49 | -12.30% | 3,811.15 | 2.61% | |
| 2. | Mar 31, 2021 | $131.13 | -22.63% | 3,972.89 | 4.24% | |
| 3. | Apr 30, 2021 | $143.17 | 9.18% | 4,181.17 | 5.24% | |
| 4. | May 31, 2021 | $150.28 | 4.97% | 4,204.11 | 0.55% | |
| 5. | Jun 30, 2021 | $178.33 | 18.67% | 4,297.50 | 2.22% | |
| 6. | Jul 31, 2021 | $174.29 | -2.27% | 4,395.26 | 2.27% | |
| 7. | Aug 31, 2021 | $191.40 | 9.82% | 4,522.68 | 2.90% | |
| 8. | Sep 30, 2021 | $205.98 | 7.62% | 4,307.54 | -4.76% | |
| 9. | Oct 31, 2021 | $194.80 | -5.43% | 4,605.38 | 6.91% | |
| 10. | Nov 30, 2021 | $178.77 | -8.23% | 4,567.00 | -0.83% | |
| 11. | Dec 31, 2021 | $148.90 | -16.71% | 4,766.18 | 4.36% | |
| 12. | Jan 31, 2022 | $113.49 | -23.78% | 4,515.55 | -5.26% | |
| 13. | Feb 28, 2022 | $104.95 | -7.52% | 4,373.94 | -3.14% | |
| 14. | Mar 31, 2022 | $117.19 | 11.66% | 4,530.41 | 3.58% | |
| 15. | Apr 30, 2022 | $81.43 | -30.51% | 4,131.93 | -8.80% | |
| 16. | May 31, 2022 | $76.91 | -5.55% | 4,132.15 | 0.01% | |
| 17. | Jun 30, 2022 | $64.17 | -16.56% | 3,785.38 | -8.39% | |
| 18. | Jul 31, 2022 | $69.75 | 8.70% | 4,130.29 | 9.11% | |
| 19. | Aug 31, 2022 | $59.90 | -14.12% | 3,955.00 | -4.24% | |
| 20. | Sep 30, 2022 | $49.45 | -17.45% | 3,585.62 | -9.34% | |
| 21. | Oct 31, 2022 | $43.53 | -11.97% | 3,871.98 | 7.99% | |
| 22. | Nov 30, 2022 | $58.25 | 33.82% | 4,080.11 | 5.38% | |
| 23. | Dec 31, 2022 | $48.82 | -16.19% | 3,839.50 | -5.90% | |
| 24. | Jan 31, 2023 | $57.92 | 18.64% | 4,076.60 | 6.18% | |
| 25. | Feb 28, 2023 | $54.66 | -5.63% | 3,970.15 | -2.61% | |
| 26. | Mar 31, 2023 | $63.56 | 16.28% | 4,109.31 | 3.51% | |
| 27. | Apr 30, 2023 | $61.19 | -3.73% | 4,169.48 | 1.46% | |
| 28. | May 31, 2023 | $65.29 | 6.70% | 4,179.83 | 0.25% | |
| 29. | Jun 30, 2023 | $76.42 | 17.05% | 4,376.86 | 4.71% | |
| 30. | Jul 31, 2023 | $90.79 | 18.80% | 4,588.96 | 4.85% | |
| 31. | Aug 31, 2023 | $84.13 | -7.34% | 4,507.66 | -1.77% | |
| 32. | Sep 30, 2023 | $79.47 | -5.54% | 4,288.05 | -4.87% | |
| 33. | Oct 31, 2023 | $74.95 | -5.69% | 4,193.80 | -2.20% | |
| 34. | Nov 30, 2023 | $93.98 | 25.39% | 4,567.80 | 8.92% | |
| 35. | Dec 31, 2023 | $98.89 | 5.22% | 4,769.83 | 4.42% | |
| 36. | Jan 31, 2024 | $104.20 | 5.37% | 4,845.65 | 1.59% | |
| 37. | Feb 29, 2024 | $124.57 | 19.55% | 5,096.27 | 5.17% | |
| 38. | Mar 31, 2024 | $137.72 | 10.56% | 5,254.35 | 3.10% | |
| 39. | Apr 30, 2024 | $129.26 | -6.14% | 5,035.69 | -4.16% | |
| 40. | May 31, 2024 | $110.11 | -14.82% | 5,277.51 | 4.80% | |
| 41. | Jun 30, 2024 | $108.78 | -1.21% | 5,460.48 | 3.47% | |
| 42. | Jul 31, 2024 | $110.72 | 1.78% | 5,522.30 | 1.13% | |
| 43. | Aug 31, 2024 | $128.71 | 16.25% | 5,648.40 | 2.28% | |
| 44. | Sep 30, 2024 | $142.73 | 10.89% | 5,762.48 | 2.02% | |
| 45. | Oct 31, 2024 | $156.70 | 9.79% | 5,705.45 | -0.99% | |
| 46. | Nov 30, 2024 | $180.48 | 15.18% | 6,032.38 | 5.73% | |
| 47. | Dec 31, 2024 | $167.75 | -7.05% | 5,881.63 | -2.50% | |
| 48. | Jan 31, 2025 | $188.83 | 12.57% | 6,040.53 | 2.70% | |
| 49. | Feb 28, 2025 | $198.44 | 5.09% | 5,954.50 | -1.42% | |
| 50. | Mar 31, 2025 | $182.77 | -7.90% | 5,611.85 | -5.75% | |
| 51. | Apr 30, 2025 | $192.89 | 5.54% | 5,569.06 | -0.76% | |
| 52. | May 31, 2025 | $208.65 | 8.17% | 5,911.69 | 6.15% | |
| 53. | Jun 30, 2025 | $246.51 | 18.15% | 6,204.95 | 4.96% | |
| 54. | Jul 31, 2025 | $250.25 | 1.52% | 6,339.39 | 2.17% | |
| 55. | Aug 31, 2025 | $245.25 | -2.00% | 6,460.26 | 1.91% | |
| 56. | Sep 30, 2025 | $271.99 | 10.90% | 6,688.46 | 3.53% | |
| 57. | Oct 31, 2025 | $254.37 | -6.48% | 6,840.20 | 2.27% | |
| 58. | Nov 30, 2025 | $198.37 | -22.02% | 6,849.09 | 0.13% | |
| 59. | Dec 31, 2025 | $226.48 | 14.17% | 6,845.50 | -0.05% | |
| Average (R): | 1.21% | 1.14% | ||||
| Standard deviation: | 13.71% | 4.37% | ||||
Show all
1 Data in US$ per share of common stock, adjusted for splits and stock dividends.
2 Rate of return on common stock of DASH during period t
3 Rate of return on S&P 500 (the market portfolio proxy) during period t
Variance and Covariance
| t | Date | RDASH,t | RS&P 500,t | (RDASH,t–RDASH)2 | (RS&P 500,t–RS&P 500)2 | (RDASH,t–RDASH)×(RS&P 500,t–RS&P 500) |
|---|---|---|---|---|---|---|
| 1. | Feb 28, 2021 | -12.30% | 2.61% | 182.55 | 2.17 | -19.90 |
| 2. | Mar 31, 2021 | -22.63% | 4.24% | 568.33 | 9.66 | -74.09 |
| 3. | Apr 30, 2021 | 9.18% | 5.24% | 63.60 | 16.86 | 32.75 |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| . | . | . | . | . | . | . |
| 58. | Nov 30, 2025 | -22.02% | 0.13% | 539.27 | 1.01 | 23.37 |
| 59. | Dec 31, 2025 | 14.17% | -0.05% | 168.05 | 1.41 | -15.41 |
| Total (Σ): | 10,898.01 | 1,108.23 | 1,981.38 | |||
| t | Date | RDASH,t | RS&P 500,t | (RDASH,t–RDASH)2 | (RS&P 500,t–RS&P 500)2 | (RDASH,t–RDASH)×(RS&P 500,t–RS&P 500) |
|---|---|---|---|---|---|---|
| 1. | Feb 28, 2021 | -12.30% | 2.61% | 182.55 | 2.17 | -19.90 |
| 2. | Mar 31, 2021 | -22.63% | 4.24% | 568.33 | 9.66 | -74.09 |
| 3. | Apr 30, 2021 | 9.18% | 5.24% | 63.60 | 16.86 | 32.75 |
| 4. | May 31, 2021 | 4.97% | 0.55% | 14.13 | 0.35 | -2.21 |
| 5. | Jun 30, 2021 | 18.67% | 2.22% | 304.79 | 1.18 | 18.95 |
| 6. | Jul 31, 2021 | -2.27% | 2.27% | 12.06 | 1.30 | -3.95 |
| 7. | Aug 31, 2021 | 9.82% | 2.90% | 74.13 | 3.11 | 15.18 |
| 8. | Sep 30, 2021 | 7.62% | -4.76% | 41.10 | 34.73 | -37.78 |
| 9. | Oct 31, 2021 | -5.43% | 6.91% | 44.02 | 33.39 | -38.34 |
| 10. | Nov 30, 2021 | -8.23% | -0.83% | 89.04 | 3.88 | 18.58 |
| 11. | Dec 31, 2021 | -16.71% | 4.36% | 320.97 | 10.40 | -57.78 |
| 12. | Jan 31, 2022 | -23.78% | -5.26% | 624.40 | 40.89 | 159.79 |
| 13. | Feb 28, 2022 | -7.52% | -3.14% | 76.25 | 18.25 | 37.30 |
| 14. | Mar 31, 2022 | 11.66% | 3.58% | 109.32 | 5.96 | 25.52 |
| 15. | Apr 30, 2022 | -30.51% | -8.80% | 1,006.26 | 98.64 | 315.05 |
| 16. | May 31, 2022 | -5.55% | 0.01% | 45.67 | 1.28 | 7.64 |
| 17. | Jun 30, 2022 | -16.56% | -8.39% | 315.84 | 90.79 | 169.33 |
| 18. | Jul 31, 2022 | 8.70% | 9.11% | 56.08 | 63.61 | 59.73 |
| 19. | Aug 31, 2022 | -14.12% | -4.24% | 234.97 | 28.95 | 82.47 |
| 20. | Sep 30, 2022 | -17.45% | -9.34% | 347.92 | 109.74 | 195.40 |
| 21. | Oct 31, 2022 | -11.97% | 7.99% | 173.68 | 46.93 | -90.28 |
| 22. | Nov 30, 2022 | 33.82% | 5.38% | 1,063.33 | 17.97 | 138.23 |
| 23. | Dec 31, 2022 | -16.19% | -5.90% | 302.62 | 49.47 | 122.35 |
| 24. | Jan 31, 2023 | 18.64% | 6.18% | 303.91 | 25.39 | 87.85 |
| 25. | Feb 28, 2023 | -5.63% | -2.61% | 46.72 | 14.04 | 25.62 |
| 26. | Mar 31, 2023 | 16.28% | 3.51% | 227.27 | 5.61 | 35.71 |
| 27. | Apr 30, 2023 | -3.73% | 1.46% | 24.36 | 0.11 | -1.62 |
| 28. | May 31, 2023 | 6.70% | 0.25% | 30.18 | 0.79 | -4.88 |
| 29. | Jun 30, 2023 | 17.05% | 4.71% | 250.91 | 12.80 | 56.67 |
| 30. | Jul 31, 2023 | 18.80% | 4.85% | 309.65 | 13.76 | 65.28 |
| 31. | Aug 31, 2023 | -7.34% | -1.77% | 72.98 | 8.46 | 24.84 |
| 32. | Sep 30, 2023 | -5.54% | -4.87% | 45.51 | 36.10 | 40.53 |
| 33. | Oct 31, 2023 | -5.69% | -2.20% | 47.54 | 11.12 | 22.99 |
| 34. | Nov 30, 2023 | 25.39% | 8.92% | 584.83 | 60.56 | 188.19 |
| 35. | Dec 31, 2023 | 5.22% | 4.42% | 16.14 | 10.80 | 13.20 |
| 36. | Jan 31, 2024 | 5.37% | 1.59% | 17.33 | 0.21 | 1.89 |
| 37. | Feb 29, 2024 | 19.55% | 5.17% | 336.43 | 16.29 | 74.03 |
| 38. | Mar 31, 2024 | 10.56% | 3.10% | 87.41 | 3.86 | 18.38 |
| 39. | Apr 30, 2024 | -6.14% | -4.16% | 54.02 | 28.06 | 38.94 |
| 40. | May 31, 2024 | -14.82% | 4.80% | 256.71 | 13.44 | -58.74 |
| 41. | Jun 30, 2024 | -1.21% | 3.47% | 5.83 | 5.43 | -5.63 |
| 42. | Jul 31, 2024 | 1.78% | 1.13% | 0.33 | 0.00 | 0.00 |
| 43. | Aug 31, 2024 | 16.25% | 2.28% | 226.24 | 1.32 | 17.26 |
| 44. | Sep 30, 2024 | 10.89% | 2.02% | 93.81 | 0.78 | 8.56 |
| 45. | Oct 31, 2024 | 9.79% | -0.99% | 73.63 | 4.52 | -18.24 |
| 46. | Nov 30, 2024 | 15.18% | 5.73% | 195.12 | 21.10 | 64.17 |
| 47. | Dec 31, 2024 | -7.05% | -2.50% | 68.23 | 13.21 | 30.03 |
| 48. | Jan 31, 2025 | 12.57% | 2.70% | 129.03 | 2.45 | 17.78 |
| 49. | Feb 28, 2025 | 5.09% | -1.42% | 15.07 | 6.56 | -9.94 |
| 50. | Mar 31, 2025 | -7.90% | -5.75% | 82.88 | 47.48 | 62.73 |
| 51. | Apr 30, 2025 | 5.54% | -0.76% | 18.75 | 3.60 | -8.22 |
| 52. | May 31, 2025 | 8.17% | 6.15% | 48.49 | 25.16 | 34.93 |
| 53. | Jun 30, 2025 | 18.15% | 4.96% | 286.90 | 14.63 | 64.78 |
| 54. | Jul 31, 2025 | 1.52% | 2.17% | 0.10 | 1.06 | 0.32 |
| 55. | Aug 31, 2025 | -2.00% | 1.91% | 10.27 | 0.59 | -2.47 |
| 56. | Sep 30, 2025 | 10.90% | 3.53% | 94.02 | 5.74 | 23.23 |
| 57. | Oct 31, 2025 | -6.48% | 2.27% | 59.06 | 1.28 | -8.70 |
| 58. | Nov 30, 2025 | -22.02% | 0.13% | 539.27 | 1.01 | 23.37 |
| 59. | Dec 31, 2025 | 14.17% | -0.05% | 168.05 | 1.41 | -15.41 |
| Total (Σ): | 10,898.01 | 1,108.23 | 1,981.38 | |||
Show all
VarianceDASH = Σ(RDASH,t–RDASH)2 ÷ (59 – 1)
= 10,898.01 ÷ (59 – 1)
= 187.90
VarianceS&P 500 = Σ(RS&P 500,t–RS&P 500)2 ÷ (59 – 1)
= 1,108.23 ÷ (59 – 1)
= 19.11
CovarianceDASH, S&P 500 = Σ(RDASH,t–RDASH)×(RS&P 500,t–RS&P 500) ÷ (59 – 1)
= 1,981.38 ÷ (59 – 1)
= 34.16
Systematic Risk (β) Estimation
| VarianceDASH | 187.90 |
| VarianceS&P 500 | 19.11 |
| CovarianceDASH, S&P 500 | 34.16 |
| Correlation coefficientDASH, S&P 5001 | 0.57 |
| βDASH2 | 1.79 |
| αDASH3 | -0.82% |
Calculations
1 Correlation coefficientDASH, S&P 500
= CovarianceDASH, S&P 500 ÷ (Standard deviationDASH × Standard deviationS&P 500)
= 34.16 ÷ (13.71% × 4.37%)
= 0.57
2 βDASH
= CovarianceDASH, S&P 500 ÷ VarianceS&P 500
= 34.16 ÷ 19.11
= 1.79
3 αDASH
= AverageDASH – βDASH × AverageS&P 500
= 1.21% – 1.79 × 1.14%
= -0.82%
Expected Rate of Return
| Assumptions | ||
| Rate of return on LT Treasury Composite1 | RF | 4.95% |
| Expected rate of return on market portfolio2 | E(RM) | 17.36% |
| Systematic risk (β) of DoorDash, Inc. common stock | βDASH | 1.79 |
| Expected rate of return on DoorDash, Inc. common stock3 | E(RDASH) | 27.14% |
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(RDASH) = RF + βDASH [E(RM) – RF]
= 4.95% + 1.79 [17.36% – 4.95%]
= 27.14%