A corporation is considering the purchase of an interest in a real estate syndication at a price of $$85,000.$ In return, the syndication promises to pay $$1,200$ at the end of each month for the next $25$ years $(300$ months$).$

Required:

a$.$ If the interest in a real estate syndication is purchased, what is the expected internal rate of return, compounded monthly?

Note: Do not round intermediate calculations and round your final answer to $2$ decimal places.

b$.$ How much total cash would be received on the investment?

Note: Round your final answer to the nearest whole dollar amount.

c$1.$ How much is profit?

Note: Round your final answer to the nearest whole dollar amount.

c$2.$ How much is return of capital?

Note: Round your final answer to the nearest whole dollar amount.