Stock Analysis on Net

Moderna Inc. (NASDAQ:MRNA)

$22.49

This company has been moved to the archive! The financial data has not been updated since November 3, 2023.

Capital Asset Pricing Model (CAPM)

Microsoft Excel

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Rates of Return

Moderna Inc., monthly rates of return

Microsoft Excel
Moderna Inc. (MRNA) Standard & Poor’s 500 (S&P 500)
t Date PriceMRNA,t1 DividendMRNA,t1 RMRNA,t2 PriceS&P 500,t RS&P 500,t3
Dec 31, 2018
1. Jan 31, 2019
2. Feb 28, 2019
3. Mar 31, 2019
. . . . . . .
. . . . . . .
. . . . . . .
47. Nov 30, 2022
48. Dec 31, 2022
Average (R):
Standard deviation:
Moderna Inc. (MRNA) Standard & Poor’s 500 (S&P 500)
t Date PriceMRNA,t1 DividendMRNA,t1 RMRNA,t2 PriceS&P 500,t RS&P 500,t3
Dec 31, 2018
1. Jan 31, 2019
2. Feb 28, 2019
3. Mar 31, 2019
4. Apr 30, 2019
5. May 31, 2019
6. Jun 30, 2019
7. Jul 31, 2019
8. Aug 31, 2019
9. Sep 30, 2019
10. Oct 31, 2019
11. Nov 30, 2019
12. Dec 31, 2019
13. Jan 31, 2020
14. Feb 29, 2020
15. Mar 31, 2020
16. Apr 30, 2020
17. May 31, 2020
18. Jun 30, 2020
19. Jul 31, 2020
20. Aug 31, 2020
21. Sep 30, 2020
22. Oct 31, 2020
23. Nov 30, 2020
24. Dec 31, 2020
25. Jan 31, 2021
26. Feb 28, 2021
27. Mar 31, 2021
28. Apr 30, 2021
29. May 31, 2021
30. Jun 30, 2021
31. Jul 31, 2021
32. Aug 31, 2021
33. Sep 30, 2021
34. Oct 31, 2021
35. Nov 30, 2021
36. Dec 31, 2021
37. Jan 31, 2022
38. Feb 28, 2022
39. Mar 31, 2022
40. Apr 30, 2022
41. May 31, 2022
42. Jun 30, 2022
43. Jul 31, 2022
44. Aug 31, 2022
45. Sep 30, 2022
46. Oct 31, 2022
47. Nov 30, 2022
48. 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 MRNA during period t

3 Rate of return on S&P 500 (the market portfolio proxy) during period t


Variance and Covariance

Moderna Inc., calculation of variance and covariance of returns

Microsoft Excel
t Date RMRNA,t RS&P 500,t (RMRNA,tRMRNA)2 (RS&P 500,tRS&P 500)2 (RMRNA,tRMRNA)×(RS&P 500,tRS&P 500)
1. Jan 31, 2019
2. Feb 28, 2019
3. Mar 31, 2019
. . . . . . .
. . . . . . .
. . . . . . .
47. Nov 30, 2022
48. Dec 31, 2022
Total (Σ):
t Date RMRNA,t RS&P 500,t (RMRNA,tRMRNA)2 (RS&P 500,tRS&P 500)2 (RMRNA,tRMRNA)×(RS&P 500,tRS&P 500)
1. Jan 31, 2019
2. Feb 28, 2019
3. Mar 31, 2019
4. Apr 30, 2019
5. May 31, 2019
6. Jun 30, 2019
7. Jul 31, 2019
8. Aug 31, 2019
9. Sep 30, 2019
10. Oct 31, 2019
11. Nov 30, 2019
12. Dec 31, 2019
13. Jan 31, 2020
14. Feb 29, 2020
15. Mar 31, 2020
16. Apr 30, 2020
17. May 31, 2020
18. Jun 30, 2020
19. Jul 31, 2020
20. Aug 31, 2020
21. Sep 30, 2020
22. Oct 31, 2020
23. Nov 30, 2020
24. Dec 31, 2020
25. Jan 31, 2021
26. Feb 28, 2021
27. Mar 31, 2021
28. Apr 30, 2021
29. May 31, 2021
30. Jun 30, 2021
31. Jul 31, 2021
32. Aug 31, 2021
33. Sep 30, 2021
34. Oct 31, 2021
35. Nov 30, 2021
36. Dec 31, 2021
37. Jan 31, 2022
38. Feb 28, 2022
39. Mar 31, 2022
40. Apr 30, 2022
41. May 31, 2022
42. Jun 30, 2022
43. Jul 31, 2022
44. Aug 31, 2022
45. Sep 30, 2022
46. Oct 31, 2022
47. Nov 30, 2022
48. Dec 31, 2022
Total (Σ):

Show all

VarianceMRNA = Σ(RMRNA,tRMRNA)2 ÷ (48 – 1)
= ÷ (48 – 1)
=

VarianceS&P 500 = Σ(RS&P 500,tRS&P 500)2 ÷ (48 – 1)
= ÷ (48 – 1)
=

CovarianceMRNA, S&P 500 = Σ(RMRNA,tRMRNA)×(RS&P 500,tRS&P 500) ÷ (48 – 1)
= ÷ (48 – 1)
=


Systematic Risk (β) Estimation

Microsoft Excel
VarianceMRNA
VarianceS&P 500
CovarianceMRNA, S&P 500
Correlation coefficientMRNA, S&P 5001
βMRNA2
αMRNA3

Calculations

1 Correlation coefficientMRNA, S&P 500
= CovarianceMRNA, S&P 500 ÷ (Standard deviationMRNA × Standard deviationS&P 500)
= ÷ ( × )
=

2 βMRNA
= CovarianceMRNA, S&P 500 ÷ VarianceS&P 500
= ÷
=

3 αMRNA
= AverageMRNA – βMRNA × AverageS&P 500
= ×
=


Expected Rate of Return

Microsoft Excel
Assumptions
Rate of return on LT Treasury Composite1 RF
Expected rate of return on market portfolio2 E(RM)
Systematic risk (β) of Moderna Inc. common stock βMRNA
 
Expected rate of return on Moderna Inc. common stock3 E(RMRNA)

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).

2 See details »

3 E(RMRNA) = RF + βMRNA [E(RM) – RF]
= + []
=