Capital asset pricing model (CAPM) indicates what should be the expected or required rate of return on risky assets like HP Inc. common stock.
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HP Inc. pages available for free this week:
- Statement of Comprehensive Income
- Common-Size Income Statement
- Analysis of Solvency Ratios
- DuPont Analysis: Disaggregation of ROE, ROA, and Net Profit Margin
- Analysis of Reportable Segments
- Operating Profit Margin since 2005
- Return on Equity (ROE) since 2005
- Total Asset Turnover since 2005
- Price to Earnings (P/E) since 2005
- Analysis of Debt
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Rates of Return
HP Inc. (HPQ) | Standard & Poor’s 500 (S&P 500) | |||||
---|---|---|---|---|---|---|
t | Date | PriceHPQ,t1 | DividendHPQ,t1 | RHPQ,t2 | PriceS&P 500,t | RS&P 500,t3 |
Nov 30, 2012 | ||||||
1. | Dec 31, 2012 | |||||
2. | Jan 31, 2013 | |||||
3. | Feb 28, 2013 | |||||
. | . | . | . | . | . | . |
. | . | . | . | . | . | . |
. | . | . | . | . | . | . |
70. | Sep 30, 2018 | |||||
71. | Oct 31, 2018 | |||||
Average (R): | ||||||
Standard deviation: |
HP Inc. (HPQ) | Standard & Poor’s 500 (S&P 500) | |||||
---|---|---|---|---|---|---|
t | Date | PriceHPQ,t1 | DividendHPQ,t1 | RHPQ,t2 | PriceS&P 500,t | RS&P 500,t3 |
Nov 30, 2012 | ||||||
1. | Dec 31, 2012 | |||||
2. | Jan 31, 2013 | |||||
3. | Feb 28, 2013 | |||||
4. | Mar 31, 2013 | |||||
5. | Apr 30, 2013 | |||||
6. | May 31, 2013 | |||||
7. | Jun 30, 2013 | |||||
8. | Jul 31, 2013 | |||||
9. | Aug 31, 2013 | |||||
10. | Sep 30, 2013 | |||||
11. | Oct 31, 2013 | |||||
12. | Nov 30, 2013 | |||||
13. | Dec 31, 2013 | |||||
14. | Jan 31, 2014 | |||||
15. | Feb 28, 2014 | |||||
16. | Mar 31, 2014 | |||||
17. | Apr 30, 2014 | |||||
18. | May 31, 2014 | |||||
19. | Jun 30, 2014 | |||||
20. | Jul 31, 2014 | |||||
21. | Aug 31, 2014 | |||||
22. | Sep 30, 2014 | |||||
23. | Oct 31, 2014 | |||||
24. | Nov 30, 2014 | |||||
25. | Dec 31, 2014 | |||||
26. | Jan 31, 2015 | |||||
27. | Feb 28, 2015 | |||||
28. | Mar 31, 2015 | |||||
29. | Apr 30, 2015 | |||||
30. | May 31, 2015 | |||||
31. | Jun 30, 2015 | |||||
32. | Jul 31, 2015 | |||||
33. | Aug 31, 2015 | |||||
34. | Sep 30, 2015 | |||||
35. | Oct 31, 2015 | |||||
36. | Nov 30, 2015 | |||||
37. | Dec 31, 2015 | |||||
38. | Jan 31, 2016 | |||||
39. | Feb 29, 2016 | |||||
40. | Mar 31, 2016 | |||||
41. | Apr 30, 2016 | |||||
42. | May 31, 2016 | |||||
43. | Jun 30, 2016 | |||||
44. | Jul 31, 2016 | |||||
45. | Aug 31, 2016 | |||||
46. | Sep 30, 2016 | |||||
47. | Oct 31, 2016 | |||||
48. | Nov 30, 2016 | |||||
49. | Dec 31, 2016 | |||||
50. | Jan 31, 2017 | |||||
51. | Feb 28, 2017 | |||||
52. | Mar 31, 2017 | |||||
53. | Apr 30, 2017 | |||||
54. | May 31, 2017 | |||||
55. | Jun 30, 2017 | |||||
56. | Jul 31, 2017 | |||||
57. | Aug 31, 2017 | |||||
58. | Sep 30, 2017 | |||||
59. | Oct 31, 2017 | |||||
60. | Nov 30, 2017 | |||||
61. | Dec 31, 2017 | |||||
62. | Jan 31, 2018 | |||||
63. | Feb 28, 2018 | |||||
64. | Mar 31, 2018 | |||||
65. | Apr 30, 2018 | |||||
66. | May 31, 2018 | |||||
67. | Jun 30, 2018 | |||||
68. | Jul 31, 2018 | |||||
69. | Aug 31, 2018 | |||||
70. | Sep 30, 2018 | |||||
71. | Oct 31, 2018 | |||||
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 HPQ during period t
3 Rate of return on S&P 500 (the market portfolio proxy) during period t
Variance and Covariance
t | Date | RHPQ,t | RS&P 500,t | (RHPQ,t–RHPQ)2 | (RS&P 500,t–RS&P 500)2 | (RHPQ,t–RHPQ)×(RS&P 500,t–RS&P 500) |
---|---|---|---|---|---|---|
1. | Dec 31, 2012 | |||||
2. | Jan 31, 2013 | |||||
3. | Feb 28, 2013 | |||||
. | . | . | . | . | . | . |
. | . | . | . | . | . | . |
. | . | . | . | . | . | . |
70. | Sep 30, 2018 | |||||
71. | Oct 31, 2018 | |||||
Total (Σ): |
t | Date | RHPQ,t | RS&P 500,t | (RHPQ,t–RHPQ)2 | (RS&P 500,t–RS&P 500)2 | (RHPQ,t–RHPQ)×(RS&P 500,t–RS&P 500) |
---|---|---|---|---|---|---|
1. | Dec 31, 2012 | |||||
2. | Jan 31, 2013 | |||||
3. | Feb 28, 2013 | |||||
4. | Mar 31, 2013 | |||||
5. | Apr 30, 2013 | |||||
6. | May 31, 2013 | |||||
7. | Jun 30, 2013 | |||||
8. | Jul 31, 2013 | |||||
9. | Aug 31, 2013 | |||||
10. | Sep 30, 2013 | |||||
11. | Oct 31, 2013 | |||||
12. | Nov 30, 2013 | |||||
13. | Dec 31, 2013 | |||||
14. | Jan 31, 2014 | |||||
15. | Feb 28, 2014 | |||||
16. | Mar 31, 2014 | |||||
17. | Apr 30, 2014 | |||||
18. | May 31, 2014 | |||||
19. | Jun 30, 2014 | |||||
20. | Jul 31, 2014 | |||||
21. | Aug 31, 2014 | |||||
22. | Sep 30, 2014 | |||||
23. | Oct 31, 2014 | |||||
24. | Nov 30, 2014 | |||||
25. | Dec 31, 2014 | |||||
26. | Jan 31, 2015 | |||||
27. | Feb 28, 2015 | |||||
28. | Mar 31, 2015 | |||||
29. | Apr 30, 2015 | |||||
30. | May 31, 2015 | |||||
31. | Jun 30, 2015 | |||||
32. | Jul 31, 2015 | |||||
33. | Aug 31, 2015 | |||||
34. | Sep 30, 2015 | |||||
35. | Oct 31, 2015 | |||||
36. | Nov 30, 2015 | |||||
37. | Dec 31, 2015 | |||||
38. | Jan 31, 2016 | |||||
39. | Feb 29, 2016 | |||||
40. | Mar 31, 2016 | |||||
41. | Apr 30, 2016 | |||||
42. | May 31, 2016 | |||||
43. | Jun 30, 2016 | |||||
44. | Jul 31, 2016 | |||||
45. | Aug 31, 2016 | |||||
46. | Sep 30, 2016 | |||||
47. | Oct 31, 2016 | |||||
48. | Nov 30, 2016 | |||||
49. | Dec 31, 2016 | |||||
50. | Jan 31, 2017 | |||||
51. | Feb 28, 2017 | |||||
52. | Mar 31, 2017 | |||||
53. | Apr 30, 2017 | |||||
54. | May 31, 2017 | |||||
55. | Jun 30, 2017 | |||||
56. | Jul 31, 2017 | |||||
57. | Aug 31, 2017 | |||||
58. | Sep 30, 2017 | |||||
59. | Oct 31, 2017 | |||||
60. | Nov 30, 2017 | |||||
61. | Dec 31, 2017 | |||||
62. | Jan 31, 2018 | |||||
63. | Feb 28, 2018 | |||||
64. | Mar 31, 2018 | |||||
65. | Apr 30, 2018 | |||||
66. | May 31, 2018 | |||||
67. | Jun 30, 2018 | |||||
68. | Jul 31, 2018 | |||||
69. | Aug 31, 2018 | |||||
70. | Sep 30, 2018 | |||||
71. | Oct 31, 2018 | |||||
Total (Σ): |
Show all
VarianceHPQ = Σ(RHPQ,t–RHPQ)2 ÷ (71 – 1)
= ÷ (71 – 1)
=
VarianceS&P 500 = Σ(RS&P 500,t–RS&P 500)2 ÷ (71 – 1)
= ÷ (71 – 1)
=
CovarianceHPQ, S&P 500 = Σ(RHPQ,t–RHPQ)×(RS&P 500,t–RS&P 500) ÷ (71 – 1)
= ÷ (71 – 1)
=
Systematic Risk (β) Estimation
VarianceHPQ | |
VarianceS&P 500 | |
CovarianceHPQ, S&P 500 | |
Correlation coefficientHPQ, S&P 5001 | |
βHPQ2 | |
αHPQ3 |
Calculations
1 Correlation coefficientHPQ, S&P 500
= CovarianceHPQ, S&P 500 ÷ (Standard deviationHPQ × Standard deviationS&P 500)
= ÷ ( × )
=
2 βHPQ
= CovarianceHPQ, S&P 500 ÷ VarianceS&P 500
= ÷
=
3 αHPQ
= AverageHPQ – βHPQ × 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 HP Inc. common stock | βHPQ | |
Expected rate of return on HP Inc. common stock3 | E(RHPQ) |
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(RHPQ) = RF + βHPQ [E(RM) – RF]
= + [ – ]
=