Page 82 - DCOM507_STOCK_MARKET_OPERATIONS
P. 82

Unit 4: Risk and Return




          4.3.1 Determinants of the Rate of Return                                              Notes

          Three major determinants of the rate of return anticipated by the investor are:
          1.   The time preference risk-free real rate
          2.   The expected rate of inflation

          3.   The risk associated with the investment, which is unique to the investment.
          Hence, Required return = Risk-free real rate + Inflation premium + Risk premium
          It was said earlier that the rate of return from an investment comprises of the yield and capital
          appreciation, if any. The difference between the sale price and the purchase price is the capital
          appreciation and the interest or dividend divided by the purchase price is the yield. Accordingly

                                     I  [P  P ]
                                             
                                             t 1
                                      t
                                          t
                    Rate of return (R ) =                                          ...(1)
                                  t      P t 1
                                          
          Where                  R = Rate of return per time period ‘t’
                                  t
                                  I = Income for the period ‘t’
                                  t
                                 P = Price at the end of time period ‘t’
                                  t
                                P  = Initial price, that is, price at the beginning of the period ‘t’.
                                 t-1
          In the above equation ‘t’ can be a day or a week or a month or a year or years and accordingly
          daily, weekly, monthly or annual rates of return could be computed for most capital assets.
          The above equation can be split into two components. Viz.,
                            I t  P   P t 1
                                    
                                 t
          Rate of return (R ) =                                                   ...(2)
                        t  P t 1  P t 1
                            
                                   
                 I t
          Where      is called the current yield,
                P
                  
                 t 1
              P   P t 1
               t
                   
          and         is called the capital gain yield.
                P t 1
                 
          Or     ROR = current yield +capital gain yield
                 Example: The following information is given for a corporate bond. Price of the bond at
          the beginning of the year: ` 90, Price of the bond at the end of the year: ` 95.40, Interest received
          for the year: ` 13.50. Calculate the rate of return.
          Solution:

          The rate of return can be computed as follows:

                           
                      13.50 (95.40 90)
                                 
                                      = 0.21 or 21% per annum
                             90
          The return of 21% consists of 15% current yield and 6% capital gain yield.
          There is invariably a direct association between the rates of return and the asset prices. Finance
          theory specifies that the price of any asset is equal to the sum of the discounted cash flows, which





                                           LOVELY PROFESSIONAL UNIVERSITY                                   77
   77   78   79   80   81   82   83   84   85   86   87