You wish to invest $$50,000$ and you have three choices:

$($I$)$ Buy a perpetuity that provides annual payments of $$1000,$ at the end of each year.

$($II$)$ Receive $$2785$ at the end of every $6$ months for ten years.

$($III$)$ Receive two payments of $$5000$ in four years and $$55,000$ in eight years.

Rank the three investments from best to worst, based on the internal rate of return $($IRR$).$