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$)$Price

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

Douglas McDonnell $180$$ $60$$ $64$$ $77$

Dynamics General $325686478$

International Rockwell $3709786100$

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.