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$).$ Assume the index is scaled by a factor of $10$ million; that is$,$ if the total value of all firms in the market is $$5$ billion, the index would be quoted as $500.$

Shares $($millions$)$ Price

$1/1/221/1/231/1/24$

Douglas McDonnell $425$ $ $72$ $ $75$ $ $92$

Dynamics General $530504357$

International Rockwell $310796885$

Calculate the initial value of the index if a value$-$weighting scheme is used.

Note: Round your answer to $2$ decimal places.

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.