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Unit 11: Capital Market Theory




          However, APM holds that:                                                              Notes
                                       E(R) = R +    +     +     +
                                          i    f   1  i1   2  i2   3  i3   4  i4
          Where,
            ,  ,   , and    the average risk premium for each of the four factors in the model and   ,   ,
           1    2  3   4                                                          i1  i2
            and   are measures of the sensitivity of the particular security ‘i’ to each of the four factors.
           i3    i4
          Several factors appear to  have been  identified as being important (some of  which, such  as
          inflation and money supply, industrial production and personal consumption, do have aspects
          of being inter-related). In particular, researchers have identified:
          1.   Changes in the level of industrial production in the economy

          2.   Changes in the shape of the yield curve
          3.   Changes in the default risk premium (i.e., changes in the return required on bonds\different
               perceived risks of default)

          4.   Changes in the inflation rate
          5.   Changes in the real interest rate
          6.   Level of personal consumption
          7.   Level of money supply in the economy


                 Example: As an investment manager you are given the following informations:

                   Particulars      Initial price    Dividends    Market price at the   Beta
                                        ( )        ( )       year end ( )   (Risk factor)
           Investment in equity shares of A   25       2              50          0.8
           Cement Ltd.
           Steel Ltd.                      35          2              60          0.7
           Liquor Ltd.                     45          2             135          0.5
           B. Government of India bonds   1,000      140            1,005         0.99

          Risk-free return may be taken at 14%.
          You are required to calculate:
          1.   Expected rate of returns of portfolio in each using Capital Asset Pricing Model (CAPM).
          2.   Average return of portfolio.
          Solution:

          1.   Calculation of Expected Rate of Return on Market Portfolio
                  Investments        Amount Invested ( )   Dividends ( )   Capital Gains ( )
           A. Equity shares of
           Cement Ltd.                      25                2              25
           Steel Ltd.                       35                2              25

           Liquor Ltd.                      45                2              90
           B. Government of India bonds    1,000             140             5
                                           1,105             146            145




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