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 (millions) 1/1/19 1/1/20 1/1/21 Douglas McDonnell 540 $ 62 $ 66 $ 81 Dynamics General 455 49 43 57 International Rockwell 290 78 67 81 a. Calculate the initial value of the index if a price-weighting scheme is used. 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.)