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) Douglas McDonnell 205 Dynamics General 450 1/1/22 $ 103 48 Price 1/1/23 $ 109 44 1/1/24 $ 123 58 290 International Rockwell a. Calculate the initial value of the index if a price-weighting scheme is used. 77 66 80 Index value 64,045 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 % %