Capital asset pricing model (CAPM) indicates what should be the expected or required rate of return on risky assets like e.l.f. Beauty, Inc. common stock.
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e.l.f. Beauty, Inc. pages available for free this week:
- Statement of Comprehensive Income
- Common-Size Income Statement
- Common-Size Balance Sheet: Liabilities and Stockholders’ Equity
- Analysis of Profitability Ratios
- Analysis of Geographic Areas
- Enterprise Value (EV)
- Enterprise Value to EBITDA (EV/EBITDA)
- Price to Operating Profit (P/OP) since 2016
- Analysis of Revenues
- Analysis of Debt
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Rates of Return
e.l.f. Beauty, Inc. (ELF) | Standard & Poor’s 500 (S&P 500) | |||||
---|---|---|---|---|---|---|
t | Date | PriceELF,t1 | DividendELF,t1 | RELF,t2 | PriceS&P 500,t | RS&P 500,t3 |
Apr 30, 2019 | ||||||
1. | May 31, 2019 | |||||
2. | Jun 30, 2019 | |||||
3. | Jul 31, 2019 | |||||
. | . | . | . | . | . | . |
. | . | . | . | . | . | . |
. | . | . | . | . | . | . |
58. | Feb 29, 2024 | |||||
59. | Mar 31, 2024 | |||||
Average (R): | ||||||
Standard deviation: |
e.l.f. Beauty, Inc. (ELF) | Standard & Poor’s 500 (S&P 500) | |||||
---|---|---|---|---|---|---|
t | Date | PriceELF,t1 | DividendELF,t1 | RELF,t2 | PriceS&P 500,t | RS&P 500,t3 |
Apr 30, 2019 | ||||||
1. | May 31, 2019 | |||||
2. | Jun 30, 2019 | |||||
3. | Jul 31, 2019 | |||||
4. | Aug 31, 2019 | |||||
5. | Sep 30, 2019 | |||||
6. | Oct 31, 2019 | |||||
7. | Nov 30, 2019 | |||||
8. | Dec 31, 2019 | |||||
9. | Jan 31, 2020 | |||||
10. | Feb 29, 2020 | |||||
11. | Mar 31, 2020 | |||||
12. | Apr 30, 2020 | |||||
13. | May 31, 2020 | |||||
14. | Jun 30, 2020 | |||||
15. | Jul 31, 2020 | |||||
16. | Aug 31, 2020 | |||||
17. | Sep 30, 2020 | |||||
18. | Oct 31, 2020 | |||||
19. | Nov 30, 2020 | |||||
20. | Dec 31, 2020 | |||||
21. | Jan 31, 2021 | |||||
22. | Feb 28, 2021 | |||||
23. | Mar 31, 2021 | |||||
24. | Apr 30, 2021 | |||||
25. | May 31, 2021 | |||||
26. | Jun 30, 2021 | |||||
27. | Jul 31, 2021 | |||||
28. | Aug 31, 2021 | |||||
29. | Sep 30, 2021 | |||||
30. | Oct 31, 2021 | |||||
31. | Nov 30, 2021 | |||||
32. | Dec 31, 2021 | |||||
33. | Jan 31, 2022 | |||||
34. | Feb 28, 2022 | |||||
35. | Mar 31, 2022 | |||||
36. | Apr 30, 2022 | |||||
37. | May 31, 2022 | |||||
38. | Jun 30, 2022 | |||||
39. | Jul 31, 2022 | |||||
40. | Aug 31, 2022 | |||||
41. | Sep 30, 2022 | |||||
42. | Oct 31, 2022 | |||||
43. | Nov 30, 2022 | |||||
44. | Dec 31, 2022 | |||||
45. | Jan 31, 2023 | |||||
46. | Feb 28, 2023 | |||||
47. | Mar 31, 2023 | |||||
48. | Apr 30, 2023 | |||||
49. | May 31, 2023 | |||||
50. | Jun 30, 2023 | |||||
51. | Jul 31, 2023 | |||||
52. | Aug 31, 2023 | |||||
53. | Sep 30, 2023 | |||||
54. | Oct 31, 2023 | |||||
55. | Nov 30, 2023 | |||||
56. | Dec 31, 2023 | |||||
57. | Jan 31, 2024 | |||||
58. | Feb 29, 2024 | |||||
59. | Mar 31, 2024 | |||||
Average (R): | ||||||
Standard deviation: |
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 ELF during period t
3 Rate of return on S&P 500 (the market portfolio proxy) during period t
Variance and Covariance
t | Date | RELF,t | RS&P 500,t | (RELF,t–RELF)2 | (RS&P 500,t–RS&P 500)2 | (RELF,t–RELF)×(RS&P 500,t–RS&P 500) |
---|---|---|---|---|---|---|
1. | May 31, 2019 | |||||
2. | Jun 30, 2019 | |||||
3. | Jul 31, 2019 | |||||
. | . | . | . | . | . | . |
. | . | . | . | . | . | . |
. | . | . | . | . | . | . |
58. | Feb 29, 2024 | |||||
59. | Mar 31, 2024 | |||||
Total (Σ): |
t | Date | RELF,t | RS&P 500,t | (RELF,t–RELF)2 | (RS&P 500,t–RS&P 500)2 | (RELF,t–RELF)×(RS&P 500,t–RS&P 500) |
---|---|---|---|---|---|---|
1. | May 31, 2019 | |||||
2. | Jun 30, 2019 | |||||
3. | Jul 31, 2019 | |||||
4. | Aug 31, 2019 | |||||
5. | Sep 30, 2019 | |||||
6. | Oct 31, 2019 | |||||
7. | Nov 30, 2019 | |||||
8. | Dec 31, 2019 | |||||
9. | Jan 31, 2020 | |||||
10. | Feb 29, 2020 | |||||
11. | Mar 31, 2020 | |||||
12. | Apr 30, 2020 | |||||
13. | May 31, 2020 | |||||
14. | Jun 30, 2020 | |||||
15. | Jul 31, 2020 | |||||
16. | Aug 31, 2020 | |||||
17. | Sep 30, 2020 | |||||
18. | Oct 31, 2020 | |||||
19. | Nov 30, 2020 | |||||
20. | Dec 31, 2020 | |||||
21. | Jan 31, 2021 | |||||
22. | Feb 28, 2021 | |||||
23. | Mar 31, 2021 | |||||
24. | Apr 30, 2021 | |||||
25. | May 31, 2021 | |||||
26. | Jun 30, 2021 | |||||
27. | Jul 31, 2021 | |||||
28. | Aug 31, 2021 | |||||
29. | Sep 30, 2021 | |||||
30. | Oct 31, 2021 | |||||
31. | Nov 30, 2021 | |||||
32. | Dec 31, 2021 | |||||
33. | Jan 31, 2022 | |||||
34. | Feb 28, 2022 | |||||
35. | Mar 31, 2022 | |||||
36. | Apr 30, 2022 | |||||
37. | May 31, 2022 | |||||
38. | Jun 30, 2022 | |||||
39. | Jul 31, 2022 | |||||
40. | Aug 31, 2022 | |||||
41. | Sep 30, 2022 | |||||
42. | Oct 31, 2022 | |||||
43. | Nov 30, 2022 | |||||
44. | Dec 31, 2022 | |||||
45. | Jan 31, 2023 | |||||
46. | Feb 28, 2023 | |||||
47. | Mar 31, 2023 | |||||
48. | Apr 30, 2023 | |||||
49. | May 31, 2023 | |||||
50. | Jun 30, 2023 | |||||
51. | Jul 31, 2023 | |||||
52. | Aug 31, 2023 | |||||
53. | Sep 30, 2023 | |||||
54. | Oct 31, 2023 | |||||
55. | Nov 30, 2023 | |||||
56. | Dec 31, 2023 | |||||
57. | Jan 31, 2024 | |||||
58. | Feb 29, 2024 | |||||
59. | Mar 31, 2024 | |||||
Total (Σ): |
Show all
VarianceELF = Σ(RELF,t–RELF)2 ÷ (59 – 1)
= ÷ (59 – 1)
=
VarianceS&P 500 = Σ(RS&P 500,t–RS&P 500)2 ÷ (59 – 1)
= ÷ (59 – 1)
=
CovarianceELF, S&P 500 = Σ(RELF,t–RELF)×(RS&P 500,t–RS&P 500) ÷ (59 – 1)
= ÷ (59 – 1)
=
Systematic Risk (β) Estimation
VarianceELF | |
VarianceS&P 500 | |
CovarianceELF, S&P 500 | |
Correlation coefficientELF, S&P 5001 | |
βELF2 | |
αELF3 |
Calculations
1 Correlation coefficientELF, S&P 500
= CovarianceELF, S&P 500 ÷ (Standard deviationELF × Standard deviationS&P 500)
= ÷ ( × )
=
2 βELF
= CovarianceELF, S&P 500 ÷ VarianceS&P 500
= ÷
=
3 αELF
= AverageELF – βELF × AverageS&P 500
= – ×
=
Expected Rate of Return
Assumptions | ||
Rate of return on LT Treasury Composite1 | RF | |
Expected rate of return on market portfolio2 | E(RM) | |
Systematic risk (β) of e.l.f. Beauty, Inc. common stock | βELF | |
Expected rate of return on e.l.f. Beauty, Inc. common stock3 | E(RELF) |
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(RELF) = RF + βELF [E(RM) – RF]
= + [ – ]
=