You are offered a chance to buy an asset for $200,500 that is expected to produce cash flows of $100,000 at the end of year 1, $42,000 at the end of year 2, $52,850 at the end of year 3, and $43,250 at the end of year 4. what rate of return (irr) would you earn if you bought this asset?

solve without excel and show formulas used!

What rate of return (IRR) would you earn if you bought this asset?

8,48%

Explanation:

To find the IRR it's necessary to know which is the discount rate that applied to the cash flow of the assets gives a value that compensate the investment of $200,500.

Year 1   $100.000  / (1+0,0848)^1    =  $92.182    

Year 2   $100.000  / (1+0,0848)^2  =  $35.690  

Year 3   $100.000  / (1+0,0848)^3  =   $41.398  

Year 4   $100.000  / (1+0,0848)^4  =   $31.230  

Total Present Value of Cash  Flow=

$92.182  + $35.690 + $41.398 + $31.230 =  $200,500

There is no way to find the IRR without Excel, the only way is to try with different rates in the current cash flow formula.