The following three defense stocks are to be combined into a stock index in January 2019 (perhaps a portfolio manager believes these stocks are an appropriate benchmark for his or her performance): Price Shares (million) 1/1/19 1/1/20 1/1/21 Douglas MeDonnell 205 $103 $109 $123 Dynamics General 450 48 44 58 International Rockwell 290 77 66 80 a. Calculate the initial value of the index if a price weighting scheme is used. Index value b. What is the rate of return on this Index for the year ending December 31, 2019? For the year ending December 31, 2020? (A negative value should be indicated by a minus sign. Do not round Intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) % 2019 return 2020 return %