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Your father LeBron paid $230,000 for an investment that promises to pay $4,500 at the end of each of the next 5 years, t...

Your father LeBron paid $230,000 for an investment that promises to pay $4,500 at the end of each of the next 5 years, then an additional lump sum payment of $25,500 at the end of the 6th year. What is the expected rate of return (IRR) on this investment? Solve without Excel, please include equations and steps.

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Answer #1

Investment Value = $ 230000, Annual Payments = $ 45000, Annual Payment Tenure = 5 years, Lump Sum Payment = $ 25500 in the 6th Year

Let the IRR be r

Therefore, 230000 = 45000 x (1/r) x [1-{1/(1+r)^(5)}] + 25500 / (1+r)^(6)

Using EXCEL's Goal Seek Function/hit and trial method/a financial calculator to solve the above equation, we get:

r = 0.02644 or 2.644 % ~ 2.64 %

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