Financial Modeling Fundamentals Data Collection Graphing Rates of Return Regression CAPM Rates of Return Rates of Return Separate Tab Label it MarketModel Set up Titlebar and Titles Financial Markets: A Practicum Rule #4: Manage Sheets Rule #6: Format for Ease of Use Rates of Return Relay 36 months Use the Range verification to check that you have 36 months =Data!A3 36R x 1C =Data!A38 Financial Markets: A Practicum Rule #1: Never enter the same information more than once. © Oltheten & Waspi 2012 Rates of Return: Equity Adjust for dividends and splits Price t Dividend t rt 1 Price t -1 (Price t Dividend Split Factor t 1 rt Price t -1 Split Factor t Pt Dividend rt Pt 1 Financial Markets: A Practicum t * t 1 Split Factor t 1 Split Factor t 1 © Oltheten & Waspi 2012 Rates of Return: Equity Adjust for dividends and splits Use either formula Verify results (Price t Dividend Split Factor t 1 rt Price t -1 Split Factor t Pt Dividend rt Pt 1 Financial Markets: A Practicum t * t 1 Split Factor t 1 Split Factor t 1 © Oltheten & Waspi 2012 Rates of Return: Index The index has neither dividends nor splits Index t rt 1 Index t -1 Financial Markets: A Practicum ©& Oltheten & Waspi 2012 © Oltheten Waspi 2012 Rates of Return: Risk Free Rates are already expressed as annual rates /12 to generate monthly data /100 to get mathematical equivalent 1% = 0.01 Financial Markets: A Practicum ©& Oltheten & Waspi 2012 © Oltheten Waspi 2012 Rates of Return Format Express as % Line up decimals Rule #6: Format for Ease of Use Reality check If you see a -63.32% at least double check that the stock did decline 63% Financial Markets: A Practicum Rule #13: Always verify results Market Model: Regression The Market Model Estimates the degree to which returns on the stock depend on returns to the market. observed rCompany,t α β rMar ket,t et Estimated using observed regression analysis Financial Markets: A Practicum © Oltheten & Waspi 2012 Dynamic Regression Alpha = Intercept Note the form of the function ($B:$B, $C:$C) (Company returns, Index Returns) Beta = Slope ($B:$B, $C:$C) (Company returns, Index Returns) Rule #5: Make sure that there are no other numbers in columns B or C Maintain Row & Column discipline Financial Markets: A Practicum © Oltheten & Waspi 2012 Regression Statistics Alpha = Intercept ($B:$B,$C:$C) Beta = Slope ($B:$B,$C:$C) Multiple R = Correl ($B:$B,$C:$C) Standard Error = Steyx ($B:$B,$C:$C) Financial Markets: A Practicum © Oltheten & Waspi 2012 Names Name cells Cell’s name is H3 Rename the cell RR Reference the cell by either H3 or RR Financial Markets: A Practicum © Oltheten & Waspi 2012 Names Assign names in the name box (under the toolbar). This replaces the name H3 with RR. From now on, anyplace you would use H3 you can use RR instead. RR rr RR Financial Markets: A Practicum fx © Oltheten & Waspi 2012 Name Manager To see, edit, and manage names used in the spreadsheet use Name Manager Ctrl+F3 Financial Markets: A Practicum © Oltheten & Waspi 2012 Dynamic Regression Statistics R Square = (Multiple R)2 Name it RR Observations = Count($B:$B) Name it N Independent Variables: 2 name it k Financial Markets: A Practicum © Oltheten & Waspi 2012 Dynamic Regression Statistics k 1 Adjusted R Square RR * 1 RR Nk … from my Econometrics Text Book H4 =RR-((k-1)/(N-k))*(1-RR) is much easier to debug than H4 = $H$3-(($H$7-1)/($H$6-$H$7)*(1-$H$3) Financial Markets: A Practicum © Oltheten & Waspi 2012 Dynamic Regression Statistics Financial Markets: A Practicum © Oltheten & Waspi 2012 Characteristic Line Each marker is one monthly observation Line constructed from calculated alpha and beta Y axis measures returns on the Equity of our company X axis measures returns on the Market Financial Markets: A Practicum Observations Generate observed values Titlebar J1:S1 and set J1=Data!A1 Highlight B2:C38 Generate XY scatter Financial Markets: A Practicum © Oltheten & Waspi 2012 Observations January 2010 should be at -3.70%,16.30% 16.30%,-3.70% Financial Markets: A Practicum © Oltheten & Waspi 2012 Observations Reset x and y axes [Chart Tools] [Design] [Select Data] Select Data and Edit Series name to Market Model!$B$2 Series X values to Market Model!$C$3:$C$38 Series Y values to Market Model!$B$3:$B$38 Financial Markets: A Practicum © Oltheten & Waspi 2012 Observations January 2010 should be at -3.70%,16.30% -3.70%, 16.30% Financial Markets: A Practicum © Oltheten & Waspi 2012 Observations Format to look professional Remove gridlines and legend Axis labels to 0 decimal places Format markers Set dynamic title = J1 Financial Markets: A Practicum © Oltheten & Waspi 2012 Observations Financial Markets: A Practicum © Oltheten & Waspi 2012 Characteristic Line Use dynamic α and β to generate characteristic line (no trend lines!) rCompany,t α β rMar ket,t et y=returns on the company Financial Markets: A Practicum x = returns on the index © Oltheten & Waspi 2012 Observations alpha=intercept y=returns on the company Financial Markets: A Practicum beta = slope x = returns on the index © Oltheten & Waspi 2012 Characteristic Line Define the characteristic Line from the minimum to the maximum index value. = min(C:C) = average(C:C) = max(C:C) Financial Markets: A Practicum © Oltheten & Waspi 2012 Characteristic Line Calculate the predicted company return. = alpha + beta G15 Financial Markets: A Practicum © Oltheten & Waspi 2012 Characteristic Line Financial Markets: A Practicum © Oltheten & Waspi 2012 Characteristic Line [Chart Menu][Design][Select Data] Add the three data points Format series to make it a line with no markers x = returns on the index Financial Markets: A Practicum y=returns on the company © Oltheten & Waspi 2012 Reality Check Maximum S&P: 10.77% Minimum S&P: -8.20% Financial Markets: A Practicum © Oltheten & Waspi 2012 Test Run the static regression using [Tools] [Data Analysis] [Regression] Verify that the results match exactly Remove the static regression this is a test procedure, not part of the deliverable. Financial Markets: A Practicum © Oltheten & Waspi 2012 Market Model