I plan to acquire a company today at $$1$M and sell it at $$2$M in $5$ years. Calculate my internal rate of return $($IRR$)$ if a$.$ The $$1$M is funded by cash b$.$ The $$1$M is funded with $50\%$ cash $+50\%$ debt. Assume debt is paid back at $50$K per year from the firm$$s operating cashflow and there is no interest payment.