In: Finance
Below you find the monthly closing prices for SP500 and Amazon for 2 years
01.01.2018 | 2'823.81 | 1'450.89 |
01.02.2018 | 2'713.83 | 1'512.45 |
01.03.2018 | 2'640.87 | 1'447.34 |
01.04.2018 | 2'648.05 | 1'566.13 |
01.05.2018 | 2'705.27 | 1'629.62 |
01.06.2018 | 2'718.37 | 1'699.80 |
01.07.2018 | 2'816.29 | 1'777.44 |
01.08.2018 | 2'901.52 | 2'012.71 |
01.09.2018 | 2'913.98 | 2'003.00 |
01.10.2018 | 2'711.74 | 1'598.01 |
01.11.2018 | 2'760.17 | 1'690.17 |
01.12.2018 | 2'506.85 | 1'501.97 |
01.01.2019 | 2'704.10 | 1'718.73 |
01.02.2019 | 2'784.49 | 1'639.83 |
01.03.2019 | 2'834.40 | 1'780.75 |
01.04.2019 | 2'945.83 | 1'926.52 |
01.05.2019 | 2'752.06 | 1'775.07 |
01.06.2019 | 2'941.76 | 1'893.63 |
01.07.2019 | 2'980.38 | 1'866.78 |
01.08.2019 | 2'926.46 | 1'776.29 |
01.09.2019 | 2'976.74 | 1'735.91 |
01.10.2019 | 3'037.56 | 1'776.66 |
01.11.2019 | 3'140.98 | 1'800.80 |
01.12.2019 | 3'230.78 | 1'847.84 |
The return table looks like this
Month | S&P 500 | S&P Monthly Returns | Amazon | Amazon Monthly Returns |
01.01.2018 | 2,823.81 | 1,450.89 | ||
01.02.2018 | 2,713.83 | -3.89% | 1,512.45 | 4.24% |
01.03.2018 | 2,640.87 | -2.69% | 1,447.34 | -4.30% |
01.04.2018 | 2,648.05 | 0.27% | 1,566.13 | 8.21% |
01.05.2018 | 2,705.27 | 2.16% | 1,629.62 | 4.05% |
01.06.2018 | 2,718.37 | 0.48% | 1,699.80 | 4.31% |
01.07.2018 | 2,816.29 | 3.60% | 1,777.44 | 4.57% |
01.08.2018 | 2,901.52 | 3.03% | 2,012.71 | 13.24% |
01.09.2018 | 2,913.98 | 0.43% | 2,003.00 | -0.48% |
01.10.2018 | 2,711.74 | -6.94% | 1,598.01 | -20.22% |
01.11.2018 | 2,760.17 | 1.79% | 1,690.17 | 5.77% |
01.12.2018 | 2,506.85 | -9.18% | 1,501.97 | -11.13% |
01.01.2019 | 2,704.10 | 7.87% | 1,718.73 | 14.43% |
01.02.2019 | 2,784.49 | 2.97% | 1,639.83 | -4.59% |
01.03.2019 | 2,834.40 | 1.79% | 1,780.75 | 8.59% |
01.04.2019 | 2,945.83 | 3.93% | 1,926.52 | 8.19% |
01.05.2019 | 2,752.06 | -6.58% | 1,775.07 | -7.86% |
01.06.2019 | 2,941.76 | 6.89% | 1,893.63 | 6.68% |
01.07.2019 | 2,980.38 | 1.31% | 1,866.78 | -1.42% |
01.08.2019 | 2,926.46 | -1.81% | 1,776.29 | -4.85% |
01.09.2019 | 2,976.74 | 1.72% | 1,735.91 | -2.27% |
01.10.2019 | 3,037.56 | 2.04% | 1,776.66 | 2.35% |
01.11.2019 | 3,140.98 | 3.40% | 1,800.80 | 1.36% |
01.12.2019 | 3,230.78 | 2.86% | 1,847.84 | 2.61% |
Avg Monthly Return | 0.67% | 1.37% | ||
Annual Return (Monthly Return x12) | 8.07% | 16.41% |
Cost of Equity Re = Rf + Beta x Market risk premium
Where:
Re = Cost of Equity
Rf = Risk free rate
Risk premium = (Market Return - Risk Free rate)
Prevailing 10 year treasury rate in US = 0.70% (Risk Free Rate)
Market Return = 8.07% (Annual return of S&P 500)
Return on Amazon = 16.41%
Cost of Equity Re = Rf + Beta x Market risk premium**
Using the above values
16.41% = 0.70% + Beta x (8.07% - 0.70%)
Beta of Amazon
= (16.41% - 0.70%) / 7.37%
= 15.71% / 7.37%
= 2.13
** Since we have already calculated the market return (S&P 500 return = 8.07%), we should not use the 5.40% market risk premium. We can derive market risk premium = 8.07% - 0.70% = 7.37%