Capital asset pricing model (CAPM) indicates what should be the expected or required rate of return on risky assets like Carrier Global Corp. common stock.
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Carrier Global Corp. pages available for free this week:
- Statement of Comprehensive Income
- Balance Sheet: Assets
- Common-Size Income Statement
- Analysis of Liquidity Ratios
- Analysis of Short-term (Operating) Activity Ratios
- Analysis of Long-term (Investment) Activity Ratios
- Enterprise Value to EBITDA (EV/EBITDA)
- Enterprise Value to FCFF (EV/FCFF)
- Total Asset Turnover since 2020
- Price to Operating Profit (P/OP) since 2020
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Rates of Return
Carrier Global Corp. (CARR) | Standard & Poor’s 500 (S&P 500) | |||||
---|---|---|---|---|---|---|
t | Date | PriceCARR,t1 | DividendCARR,t1 | RCARR,t2 | PriceS&P 500,t | RS&P 500,t3 |
Mar 31, 2020 | ||||||
1. | Apr 30, 2020 | |||||
2. | May 31, 2020 | |||||
3. | Jun 30, 2020 | |||||
. | . | . | . | . | . | . |
. | . | . | . | . | . | . |
. | . | . | . | . | . | . |
32. | Nov 30, 2022 | |||||
33. | Dec 31, 2022 | |||||
Average (R): | ||||||
Standard deviation: |
Carrier Global Corp. (CARR) | Standard & Poor’s 500 (S&P 500) | |||||
---|---|---|---|---|---|---|
t | Date | PriceCARR,t1 | DividendCARR,t1 | RCARR,t2 | PriceS&P 500,t | RS&P 500,t3 |
Mar 31, 2020 | ||||||
1. | Apr 30, 2020 | |||||
2. | May 31, 2020 | |||||
3. | Jun 30, 2020 | |||||
4. | Jul 31, 2020 | |||||
5. | Aug 31, 2020 | |||||
6. | Sep 30, 2020 | |||||
7. | Oct 31, 2020 | |||||
8. | Nov 30, 2020 | |||||
9. | Dec 31, 2020 | |||||
10. | Jan 31, 2021 | |||||
11. | Feb 28, 2021 | |||||
12. | Mar 31, 2021 | |||||
13. | Apr 30, 2021 | |||||
14. | May 31, 2021 | |||||
15. | Jun 30, 2021 | |||||
16. | Jul 31, 2021 | |||||
17. | Aug 31, 2021 | |||||
18. | Sep 30, 2021 | |||||
19. | Oct 31, 2021 | |||||
20. | Nov 30, 2021 | |||||
21. | Dec 31, 2021 | |||||
22. | Jan 31, 2022 | |||||
23. | Feb 28, 2022 | |||||
24. | Mar 31, 2022 | |||||
25. | Apr 30, 2022 | |||||
26. | May 31, 2022 | |||||
27. | Jun 30, 2022 | |||||
28. | Jul 31, 2022 | |||||
29. | Aug 31, 2022 | |||||
30. | Sep 30, 2022 | |||||
31. | Oct 31, 2022 | |||||
32. | Nov 30, 2022 | |||||
33. | Dec 31, 2022 | |||||
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 CARR during period t
3 Rate of return on S&P 500 (the market portfolio proxy) during period t
Variance and Covariance
t | Date | RCARR,t | RS&P 500,t | (RCARR,t–RCARR)2 | (RS&P 500,t–RS&P 500)2 | (RCARR,t–RCARR)×(RS&P 500,t–RS&P 500) |
---|---|---|---|---|---|---|
1. | Apr 30, 2020 | |||||
2. | May 31, 2020 | |||||
3. | Jun 30, 2020 | |||||
. | . | . | . | . | . | . |
. | . | . | . | . | . | . |
. | . | . | . | . | . | . |
32. | Nov 30, 2022 | |||||
33. | Dec 31, 2022 | |||||
Total (Σ): |
t | Date | RCARR,t | RS&P 500,t | (RCARR,t–RCARR)2 | (RS&P 500,t–RS&P 500)2 | (RCARR,t–RCARR)×(RS&P 500,t–RS&P 500) |
---|---|---|---|---|---|---|
1. | Apr 30, 2020 | |||||
2. | May 31, 2020 | |||||
3. | Jun 30, 2020 | |||||
4. | Jul 31, 2020 | |||||
5. | Aug 31, 2020 | |||||
6. | Sep 30, 2020 | |||||
7. | Oct 31, 2020 | |||||
8. | Nov 30, 2020 | |||||
9. | Dec 31, 2020 | |||||
10. | Jan 31, 2021 | |||||
11. | Feb 28, 2021 | |||||
12. | Mar 31, 2021 | |||||
13. | Apr 30, 2021 | |||||
14. | May 31, 2021 | |||||
15. | Jun 30, 2021 | |||||
16. | Jul 31, 2021 | |||||
17. | Aug 31, 2021 | |||||
18. | Sep 30, 2021 | |||||
19. | Oct 31, 2021 | |||||
20. | Nov 30, 2021 | |||||
21. | Dec 31, 2021 | |||||
22. | Jan 31, 2022 | |||||
23. | Feb 28, 2022 | |||||
24. | Mar 31, 2022 | |||||
25. | Apr 30, 2022 | |||||
26. | May 31, 2022 | |||||
27. | Jun 30, 2022 | |||||
28. | Jul 31, 2022 | |||||
29. | Aug 31, 2022 | |||||
30. | Sep 30, 2022 | |||||
31. | Oct 31, 2022 | |||||
32. | Nov 30, 2022 | |||||
33. | Dec 31, 2022 | |||||
Total (Σ): |
Show all
VarianceCARR = Σ(RCARR,t–RCARR)2 ÷ (33 – 1)
= ÷ (33 – 1)
=
VarianceS&P 500 = Σ(RS&P 500,t–RS&P 500)2 ÷ (33 – 1)
= ÷ (33 – 1)
=
CovarianceCARR, S&P 500 = Σ(RCARR,t–RCARR)×(RS&P 500,t–RS&P 500) ÷ (33 – 1)
= ÷ (33 – 1)
=
Systematic Risk (β) Estimation
VarianceCARR | |
VarianceS&P 500 | |
CovarianceCARR, S&P 500 | |
Correlation coefficientCARR, S&P 5001 | |
βCARR2 | |
αCARR3 |
Calculations
1 Correlation coefficientCARR, S&P 500
= CovarianceCARR, S&P 500 ÷ (Standard deviationCARR × Standard deviationS&P 500)
= ÷ ( × )
=
2 βCARR
= CovarianceCARR, S&P 500 ÷ VarianceS&P 500
= ÷
=
3 αCARR
= AverageCARR – βCARR × 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 Carrier Global Corp. common stock | βCARR | |
Expected rate of return on Carrier Global Corp. common stock3 | E(RCARR) |
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(RCARR) = RF + βCARR [E(RM) – RF]
= + [ – ]
=