Question

In: Finance

Download the historical stock price of your company (intel) and use them to calculate returns. Embed...

    1. Download the historical stock price of your company (intel) and use them to calculate returns. Embed an Excel Spreadsheet showing the stock price and returns with only few lines showing.
    2. Download the historical price of the S&P 500 index to use as an approximation of market performance. Use the prices to find returns. Embed an Excel Spreadsheet showing the stock price and returns with only few lines showing.
    3. Find the slope of a regression in which returns of the company are the dependent variable and S&P 500 index returns are the independent variable.
  1. Find Rf. What is the risk-free rate based on? State the source of Rf
  2. You can assume that Market Risk Premium is 6.1%. Using the information above, calculate the cost of equity using the CAPM.

Solutions

Expert Solution

Let us assume, stock price for stock Alkem laboratories. We have assumed the historical stock price for 4 years.

Stock - Alkem Laboratories
Year Stock price
2017 2700 -100 Return = (Current Price - Initial Price) / Initial Price
2018 2600 800 (3500-2700) / 2700
2019 3400 100 29.63%
2020 3500 800
S&P index (x)
Year Price Return = (Current Price - Initial Price) / Initial Price
2017 2673.61 -166.76 (3453.39-2673.61) / 2673.61
2018 2506.85 723.93 29.17%
2019 3230.78 222.61
2020 3453.39 779.78
Slope 1.028122 Slope (y1-y2)/(x1-x2)

Using, CAPM model we can calculate the risk free rate ir Rf.

S&P 500 return cn be considered as market return. however this return is for 3 years we can calculate return for one year - 29.17 / 3 = 9.72%

Market Return = Risk Free rate + market risk premium

9.72 % = Rf + 6.1%

Therefore, Risk Free rate = 3.62%


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