At the beginning of January, stock AAA is trading at $$100/$share$.$ Stock AAA

pays a dividend of $$3/$share and is trading at $$99/$share at the end of January. A portfolio

begins with $$1,000,000.$ The rate of lending and borrowing cash is $1\%$ per year.

Suppose you purchase $$500,000$ worth of AAA. What is the annualized rate of return on

this portfolio in the month of January?