At the end of every year, The Mountaineer Body & Mind Clinic retains all of their annual profits to save up funds to open a new location and expand the population they can serve. They invest these annual profits $($retained earnings$)$ into a money market fund that pays $6\%$ compounded monthly.

You are the practice manager for Mountaineer Body & Mind Clinic and have just completed your accounting and calculated the profits from last year.

You have $$250,000$ retained earnings to invest in the money market account today.

Looking forward, you anticipate this year's profits will be $$300,000$ so that is how much you will be able to invest in the account $1$ year from today.

You also anticipate you will be able to invest $$325,0002$ years from today and $$350,0003$ years from today.

What is the interest rate $($r$)$ and number of compounding periods $($n$)$ you will use to the future value of today's deposit in $5$ years from today?