1. CAPM in EXCEL

2. The Capital Asset Pricing Model
Where: = the return required by investors on a stock = the average return on the market = the return on risk free investments = the stock’s market risk (how sensitive the stock is to fluctuating in the market )

3. Calculating the Required Return on Riyad Bank using CAPM
Data Needed:
Share prices of Riyad Bank to calculate the company return ( )
Share prices of Tadawul All Shares Index (TASI)to calculate the market return ( )
The return on risk free investments ( )
The data in this example were acquired from Bloomberg

4. Daily Closing Prices of Riyad Bank and TASI in 2008

5. Calculating the Stock Return

6. Calculating the Market Return

7. Riyad Bank and TASI Daily Returns

8. Calculating the Average Market Return

9. The Average Market Return
We simply take the sum of the returns and divide them by the number of observations.
TASI average daily return= = -0.3%

10. Calculating Beta Method 1

11. Calculating Beta Method 1

12. Calculating Beta Method 1

13. Calculating Beta Method 1
However, this method does not tell if β is statically significant or not.

14. Calculating Beta method 2
You need to make sure you have Excel Add- Ins already installed. In particular, Analysis Tool Pack.
You can find Excel Add-Ins in by clicking on file. Then, at the bottom, choose Excel Add-Ins.
Then choose Analysis Tool Pack and press ok.

15. Calculating Beta method 2

16. Calculating Beta method 2

17. Calculating Beta method 2

18. Calculating Beta method 2

19. Statistical Significance
Null Hypothesis ( ):
There is no difference between groups. We assume the null hypothesis is correct until we have enough evidence to reject it. Regarding Beta, the stock is not affected by changes (fluctuations ) in the Market.
Alternative Hypothesis( ):
There is a difference between groups. Regarding Beta, the stock is affected by changes (fluctuations ) in the Market.

20. Statistical Significance
The null hypothesis ( ) in this example:
: Riyad Bank has no relationship with the market return.
Its returns do not get affected by the market fluctuation.
H0: β= 0
The alternative hypothesis ( ) in this example:
: Riyad Bank has a relationship with the market.
Its returns fluctuate as the market fluctuates.
Ha: : β≠ 0

21. Two Tail Test

22. Two Tail Test

23. Critical Values

24. P- value and Two Tail Test

25. P- Value
We use the P- value to determine if our Beta is statically significant.
If P- value < is statically significant at the 99% level (strong).
If P- value < is statically significant at the 95% level.
If P- value < is statically significant at the 90% level (weak).

26. Beta and the P-Value of Riyad Bank
β = P-Value= 3.77E-45
P-value< β is statically significant at the level 99%.
We reject the
We are 99% confident that Riyad returns are affected by the market.
The Coefficient sign is positive Riyad Bank’s returns has a
positive relationship with the market returns. If market return increases,
Riyad Bank’s returns increases and vise versa. .

27. Interpreting Beta If increase by 1% increase by 0.881%
(2 X %)
If decrease by 5% decrease by 4.403%
(5 X %)

28. Interpreting Beta Beta of the market is always = 1.0
If the stock beta > 1.0, the stock is more risky than average
If stock beta < 1.0, the stock is less risky than average
Thus, Riyad Bank is less risky than average:
< 1.0
Thus, when the average return on TASI is negative , the return on Riyad Bank must be negative as well. However, lower in magnitude.

29. Compare Beta with Analysts’ report

30. Get the Risk Free Return

31. Get the Risk Free Return

32. Calculating the Required Return on Riyad Bank using CAPM

33. Required Return on Riyad Bank using CAPM

34. Results Interpretation
The required return on Riyad is in negative because the market return is in negative. This is because Riyad Bank is has a positive relationship with the market returns. However, the decrease is lower in magnitude because β is lower than 1.0 which means Riyad Bank is less risky.

35. Thanks for Listening
Prepared by:
Rawaa Muhandes