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How Do I Calculate By Hand The Time Weighted Rate Of Return

Please help!!! IRR Question, and im completely lost?

An interest rate is not required as some have stated before me.

Solve for R in the following equation

-14600+27750/(1+r)^5=0

What that is basically stating is what rate is required for that cash return in year 5, and with that initial outlay, to make NPV=0.

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