The following three defense stocks are to be combined into a stock index in January 2022 (perhaps a portfolio manager believes these stocks are an appropriate benchmark for his or her performance): Shares (millions) 1/1/22 Price 1/1/23 Douglas McDonnell 540 $62 455 49 $ 66 43 1/1/24 $ 81 57 290 78 67 81 Dynamics General International Rockwell 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, 2022? For the year ending December 31, 2023? Note: 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. 2022 return 2023 return % %