Solve the following rate of return problems.

An investment of $$1,800$ today returns $$65,000$ in $50$ years. What is the internal rate of return on this investment?

An investment costs $$900,000$ today and promises a single payment of $$13\mathrm{.}0$ million in $22$ years. What is the promised rate of return, IRR, on this investment?

What return do you earn if you pay $$23,670$ for a stream of $$7,000$ payments lasting $10$ years?