자본 자산 가격 책정 모델(CAPM)은 Express Scripts보통주와 같은 위험 자산에 대한 예상 또는 필요한 수익률을 나타냅니다.
수익률
Express Scripts Holding Co. (ESRX) | Standard & Poor’s 500 (S&P 500) | |||||
---|---|---|---|---|---|---|
t | 날짜 | 값ESRX,t1 | 피제수ESRX,t1 | RESRX,t2 | 값S&P 500,t | RS&P 500,t3 |
2013. 1. 31. | $53.42 | 1,498.11 | ||||
1. | 2013. 2. 28. | $56.93 | 6.57% | 1,514.68 | 1.11% | |
2. | 2013. 3. 31. | $57.62 | 1.21% | 1,569.19 | 3.60% | |
3. | 2013. 4. 30. | $59.37 | 3.04% | 1,597.57 | 1.81% | |
. | . | . | . | . | . | . |
. | . | . | . | . | . | . |
. | . | . | . | . | . | . |
58. | 2017. 11. 30. | $65.18 | 6.35% | 2,647.58 | 2.81% | |
59. | 2017. 12. 31. | $74.64 | 14.51% | 2,673.61 | 0.98% | |
평균의 (R): | 0.73% | 1.02% | ||||
표준 편차: | 5.71% | 2.71% |
Express Scripts Holding Co. (ESRX) | Standard & Poor’s 500 (S&P 500) | |||||
---|---|---|---|---|---|---|
t | 날짜 | 값ESRX,t1 | 피제수ESRX,t1 | RESRX,t2 | 값S&P 500,t | RS&P 500,t3 |
2013. 1. 31. | $53.42 | 1,498.11 | ||||
1. | 2013. 2. 28. | $56.93 | 6.57% | 1,514.68 | 1.11% | |
2. | 2013. 3. 31. | $57.62 | 1.21% | 1,569.19 | 3.60% | |
3. | 2013. 4. 30. | $59.37 | 3.04% | 1,597.57 | 1.81% | |
4. | 2013. 5. 31. | $62.12 | 4.63% | 1,630.74 | 2.08% | |
5. | 2013. 6. 30. | $61.74 | -0.61% | 1,606.28 | -1.50% | |
6. | 2013. 7. 31. | $65.55 | 6.17% | 1,685.73 | 4.95% | |
7. | 2013. 8. 31. | $63.88 | -2.55% | 1,632.97 | -3.13% | |
8. | 2013. 9. 30. | $61.80 | -3.26% | 1,681.55 | 2.97% | |
9. | 2013. 10. 31. | $62.52 | 1.17% | 1,756.54 | 4.46% | |
10. | 2013. 11. 30. | $67.35 | 7.73% | 1,805.81 | 2.80% | |
11. | 2013. 12. 31. | $70.24 | 4.29% | 1,848.36 | 2.36% | |
12. | 2014. 1. 31. | $74.69 | 6.34% | 1,782.59 | -3.56% | |
13. | 2014. 2. 28. | $75.31 | 0.83% | 1,859.45 | 4.31% | |
14. | 2014. 3. 31. | $75.09 | -0.29% | 1,872.34 | 0.69% | |
15. | 2014. 4. 30. | $66.58 | -11.33% | 1,883.95 | 0.62% | |
16. | 2014. 5. 31. | $71.47 | 7.34% | 1,923.57 | 2.10% | |
17. | 2014. 6. 30. | $69.33 | -2.99% | 1,960.23 | 1.91% | |
18. | 2014. 7. 31. | $69.65 | 0.46% | 1,930.67 | -1.51% | |
19. | 2014. 8. 31. | $73.93 | 6.15% | 2,003.37 | 3.77% | |
20. | 2014. 9. 30. | $70.63 | -4.46% | 1,972.29 | -1.55% | |
21. | 2014. 10. 31. | $76.82 | 8.76% | 2,018.05 | 2.32% | |
22. | 2014. 11. 30. | $83.15 | 8.24% | 2,067.56 | 2.45% | |
23. | 2014. 12. 31. | $84.67 | 1.83% | 2,058.90 | -0.42% | |
24. | 2015. 1. 31. | $80.71 | -4.68% | 1,994.99 | -3.10% | |
25. | 2015. 2. 28. | $84.79 | 5.06% | 2,104.50 | 5.49% | |
26. | 2015. 3. 31. | $86.77 | 2.34% | 2,067.89 | -1.74% | |
27. | 2015. 4. 30. | $86.40 | -0.43% | 2,085.51 | 0.85% | |
28. | 2015. 5. 31. | $87.14 | 0.86% | 2,107.39 | 1.05% | |
29. | 2015. 6. 30. | $88.94 | 2.07% | 2,063.11 | -2.10% | |
30. | 2015. 7. 31. | $90.07 | 1.27% | 2,103.84 | 1.97% | |
31. | 2015. 8. 31. | $83.60 | -7.18% | 1,972.18 | -6.26% | |
32. | 2015. 9. 30. | $80.96 | -3.16% | 1,920.03 | -2.64% | |
33. | 2015. 10. 31. | $86.38 | 6.69% | 2,079.36 | 8.30% | |
34. | 2015. 11. 30. | $85.48 | -1.04% | 2,080.41 | 0.05% | |
35. | 2015. 12. 31. | $87.41 | 2.26% | 2,043.94 | -1.75% | |
36. | 2016. 1. 31. | $71.87 | -17.78% | 1,940.24 | -5.07% | |
37. | 2016. 2. 29. | $70.38 | -2.07% | 1,932.23 | -0.41% | |
38. | 2016. 3. 31. | $68.69 | -2.40% | 2,059.74 | 6.60% | |
39. | 2016. 4. 30. | $73.73 | 7.34% | 2,065.30 | 0.27% | |
40. | 2016. 5. 31. | $75.55 | 2.47% | 2,096.95 | 1.53% | |
41. | 2016. 6. 30. | $75.80 | 0.33% | 2,098.86 | 0.09% | |
42. | 2016. 7. 31. | $76.07 | 0.36% | 2,173.60 | 3.56% | |
43. | 2016. 8. 31. | $72.70 | -4.43% | 2,170.95 | -0.12% | |
44. | 2016. 9. 30. | $70.53 | -2.98% | 2,168.27 | -0.12% | |
45. | 2016. 10. 31. | $67.40 | -4.44% | 2,126.15 | -1.94% | |
46. | 2016. 11. 30. | $75.88 | 12.58% | 2,198.81 | 3.42% | |
47. | 2016. 12. 31. | $68.79 | -9.34% | 2,238.83 | 1.82% | |
48. | 2017. 1. 31. | $68.88 | 0.13% | 2,278.87 | 1.79% | |
49. | 2017. 2. 28. | $70.65 | 2.57% | 2,363.64 | 3.72% | |
50. | 2017. 3. 31. | $65.91 | -6.71% | 2,362.72 | -0.04% | |
51. | 2017. 4. 30. | $61.34 | -6.93% | 2,384.20 | 0.91% | |
52. | 2017. 5. 31. | $59.75 | -2.59% | 2,411.80 | 1.16% | |
53. | 2017. 6. 30. | $63.84 | 6.85% | 2,423.41 | 0.48% | |
54. | 2017. 7. 31. | $62.64 | -1.88% | 2,470.30 | 1.93% | |
55. | 2017. 8. 31. | $62.82 | 0.29% | 2,471.65 | 0.05% | |
56. | 2017. 9. 30. | $63.32 | 0.80% | 2,519.36 | 1.93% | |
57. | 2017. 10. 31. | $61.29 | -3.21% | 2,575.26 | 2.22% | |
58. | 2017. 11. 30. | $65.18 | 6.35% | 2,647.58 | 2.81% | |
59. | 2017. 12. 31. | $74.64 | 14.51% | 2,673.61 | 0.98% | |
평균의 (R): | 0.73% | 1.02% | ||||
표준 편차: | 5.71% | 2.71% |
모두 보기
1 보통주 주당 미화 달러(USD)로 표시되며, 분할 및 주식 배당금에 대해 조정되었습니다.
2 기간 t 동안 ESRX의 보통주 수익률.
3 기간 t 동안 S&P 500(시장 포트폴리오 프록시)의 수익률.
분산과 공분산
t | 날짜 | RESRX,t | RS&P 500,t | (RESRX,t–RESRX)2 | (RS&P 500,t–RS&P 500)2 | (RESRX,t–RESRX)×(RS&P 500,t–RS&P 500) |
---|---|---|---|---|---|---|
1. | 2013. 2. 28. | 6.57% | 1.11% | 34.11 | 0.01 | 0.49 |
2. | 2013. 3. 31. | 1.21% | 3.60% | 0.23 | 6.64 | 1.24 |
3. | 2013. 4. 30. | 3.04% | 1.81% | 5.32 | 0.62 | 1.81 |
. | . | . | . | . | . | . |
. | . | . | . | . | . | . |
. | . | . | . | . | . | . |
58. | 2017. 11. 30. | 6.35% | 2.81% | 31.54 | 3.19 | 10.03 |
59. | 2017. 12. 31. | 14.51% | 0.98% | 189.98 | 0.00 | -0.54 |
합계 (Σ): | 1,888.17 | 424.45 | 388.57 |
t | 날짜 | RESRX,t | RS&P 500,t | (RESRX,t–RESRX)2 | (RS&P 500,t–RS&P 500)2 | (RESRX,t–RESRX)×(RS&P 500,t–RS&P 500) |
---|---|---|---|---|---|---|
1. | 2013. 2. 28. | 6.57% | 1.11% | 34.11 | 0.01 | 0.49 |
2. | 2013. 3. 31. | 1.21% | 3.60% | 0.23 | 6.64 | 1.24 |
3. | 2013. 4. 30. | 3.04% | 1.81% | 5.32 | 0.62 | 1.81 |
4. | 2013. 5. 31. | 4.63% | 2.08% | 15.22 | 1.11 | 4.11 |
5. | 2013. 6. 30. | -0.61% | -1.50% | 1.80 | 6.36 | 3.39 |
6. | 2013. 7. 31. | 6.17% | 4.95% | 29.60 | 15.40 | 21.35 |
7. | 2013. 8. 31. | -2.55% | -3.13% | 10.75 | 17.24 | 13.61 |
8. | 2013. 9. 30. | -3.26% | 2.97% | 15.89 | 3.81 | -7.78 |
9. | 2013. 10. 31. | 1.17% | 4.46% | 0.19 | 11.81 | 1.49 |
10. | 2013. 11. 30. | 7.73% | 2.80% | 48.93 | 3.18 | 12.47 |
11. | 2013. 12. 31. | 4.29% | 2.36% | 12.68 | 1.78 | 4.75 |
12. | 2014. 1. 31. | 6.34% | -3.56% | 31.42 | 20.98 | -25.67 |
13. | 2014. 2. 28. | 0.83% | 4.31% | 0.01 | 10.82 | 0.33 |
14. | 2014. 3. 31. | -0.29% | 0.69% | 1.05 | 0.11 | 0.34 |
15. | 2014. 4. 30. | -11.33% | 0.62% | 145.53 | 0.16 | 4.85 |
16. | 2014. 5. 31. | 7.34% | 2.10% | 43.75 | 1.17 | 7.15 |
17. | 2014. 6. 30. | -2.99% | 1.91% | 13.87 | 0.78 | -3.29 |
18. | 2014. 7. 31. | 0.46% | -1.51% | 0.07 | 6.40 | 0.68 |
19. | 2014. 8. 31. | 6.15% | 3.77% | 29.32 | 7.53 | 14.85 |
20. | 2014. 9. 30. | -4.46% | -1.55% | 26.98 | 6.62 | 13.37 |
21. | 2014. 10. 31. | 8.76% | 2.32% | 64.54 | 1.68 | 10.43 |
22. | 2014. 11. 30. | 8.24% | 2.45% | 56.39 | 2.05 | 10.75 |
23. | 2014. 12. 31. | 1.83% | -0.42% | 1.20 | 2.08 | -1.58 |
24. | 2015. 1. 31. | -4.68% | -3.10% | 29.24 | 17.03 | 22.31 |
25. | 2015. 2. 28. | 5.06% | 5.49% | 18.70 | 19.95 | 19.32 |
26. | 2015. 3. 31. | 2.34% | -1.74% | 2.58 | 7.63 | -4.43 |
27. | 2015. 4. 30. | -0.43% | 0.85% | 1.34 | 0.03 | 0.20 |
28. | 2015. 5. 31. | 0.86% | 1.05% | 0.02 | 0.00 | 0.00 |
29. | 2015. 6. 30. | 2.07% | -2.10% | 1.78 | 9.76 | -4.17 |
30. | 2015. 7. 31. | 1.27% | 1.97% | 0.29 | 0.91 | 0.51 |
31. | 2015. 8. 31. | -7.18% | -6.26% | 62.63 | 53.00 | 57.62 |
32. | 2015. 9. 30. | -3.16% | -2.64% | 15.12 | 13.44 | 14.26 |
33. | 2015. 10. 31. | 6.69% | 8.30% | 35.57 | 52.94 | 43.40 |
34. | 2015. 11. 30. | -1.04% | 0.05% | 3.14 | 0.94 | 1.72 |
35. | 2015. 12. 31. | 2.26% | -1.75% | 2.33 | 7.70 | -4.24 |
36. | 2016. 1. 31. | -17.78% | -5.07% | 342.57 | 37.16 | 112.83 |
37. | 2016. 2. 29. | -2.07% | -0.41% | 7.86 | 2.06 | 4.02 |
38. | 2016. 3. 31. | -2.40% | 6.60% | 9.81 | 31.10 | -17.46 |
39. | 2016. 4. 30. | 7.34% | 0.27% | 43.65 | 0.57 | -4.97 |
40. | 2016. 5. 31. | 2.47% | 1.53% | 3.02 | 0.26 | 0.89 |
41. | 2016. 6. 30. | 0.33% | 0.09% | 0.16 | 0.87 | 0.37 |
42. | 2016. 7. 31. | 0.36% | 3.56% | 0.14 | 6.44 | -0.95 |
43. | 2016. 8. 31. | -4.43% | -0.12% | 26.63 | 1.31 | 5.90 |
44. | 2016. 9. 30. | -2.98% | -0.12% | 13.80 | 1.31 | 4.26 |
45. | 2016. 10. 31. | -4.44% | -1.94% | 26.71 | 8.79 | 15.32 |
46. | 2016. 11. 30. | 12.58% | 3.42% | 140.45 | 5.74 | 28.39 |
47. | 2016. 12. 31. | -9.34% | 1.82% | 101.49 | 0.64 | -8.04 |
48. | 2017. 1. 31. | 0.13% | 1.79% | 0.36 | 0.59 | -0.46 |
49. | 2017. 2. 28. | 2.57% | 3.72% | 3.38 | 7.28 | 4.96 |
50. | 2017. 3. 31. | -6.71% | -0.04% | 55.35 | 1.13 | 7.90 |
51. | 2017. 4. 30. | -6.93% | 0.91% | 58.74 | 0.01 | 0.87 |
52. | 2017. 5. 31. | -2.59% | 1.16% | 11.04 | 0.02 | -0.45 |
53. | 2017. 6. 30. | 6.85% | 0.48% | 37.39 | 0.29 | -3.31 |
54. | 2017. 7. 31. | -1.88% | 1.93% | 6.81 | 0.83 | -2.38 |
55. | 2017. 8. 31. | 0.29% | 0.05% | 0.20 | 0.94 | 0.43 |
56. | 2017. 9. 30. | 0.80% | 1.93% | 0.00 | 0.82 | 0.06 |
57. | 2017. 10. 31. | -3.21% | 2.22% | 15.50 | 1.43 | -4.71 |
58. | 2017. 11. 30. | 6.35% | 2.81% | 31.54 | 3.19 | 10.03 |
59. | 2017. 12. 31. | 14.51% | 0.98% | 189.98 | 0.00 | -0.54 |
합계 (Σ): | 1,888.17 | 424.45 | 388.57 |
모두 보기
분산ESRX = Σ(RESRX,t–RESRX)2 ÷ (59 – 1)
= 1,888.17 ÷ (59 – 1)
= 32.55
분산S&P 500 = Σ(RS&P 500,t–RS&P 500)2 ÷ (59 – 1)
= 424.45 ÷ (59 – 1)
= 7.32
공분산ESRX, S&P 500 = Σ(RESRX,t–RESRX)×(RS&P 500,t–RS&P 500) ÷ (59 – 1)
= 388.57 ÷ (59 – 1)
= 6.70
체계적인 위험 추정 (β)
분산ESRX | 32.55 |
분산S&P 500 | 7.32 |
공분산ESRX, S&P 500 | 6.70 |
상관 계수ESRX, S&P 5001 | 0.43 |
βESRX2 | 0.92 |
αESRX3 | -0.21% |
계산
1 상관 계수ESRX, S&P 500
= 공분산ESRX, S&P 500 ÷ (표준 편차ESRX × 표준 편차S&P 500)
= 6.70 ÷ (5.71% × 2.71%)
= 0.43
2 βESRX
= 공분산ESRX, S&P 500 ÷ 분산S&P 500
= 6.70 ÷ 7.32
= 0.92
3 αESRX
= 평균의ESRX – βESRX × 평균의S&P 500
= 0.73% – 0.92 × 1.02%
= -0.21%
기대 수익률
가정 | ||
LT Treasury Composite의 수익률1 | RF | 4.67% |
시장 포트폴리오에 대한 예상 수익률2 | E(RM) | 13.79% |
보통주의 체계적 위험Express Scripts | βESRX | 0.92 |
Express Scripts 보통주에 대한 기대 수익률3 | E(RESRX) | 13.02% |
1 10년 이내에 만기가 도래하거나 콜링할 수 없는 모든 미결제 고정 쿠폰 미국 국채에 대한 입찰 수익률의 비가중 평균(무위험 수익률 대리).
2 자세히 보기 »
3 E(RESRX) = RF + βESRX [E(RM) – RF]
= 4.67% + 0.92 [13.79% – 4.67%]
= 13.02%