Okay, here are the steps to evaluate this decision using NPV vs IRR for Larry the Cucumber:
NPV (Net Present Value) approach:
* Larry's $14 million offer for the next 3 Larry Boy movies has a present value of $14 / (1.1)^3 = $10.9 million (using 10% discount rate)
* The $5 million per year for 3 years from other movie roles has a present value of $5 * (1 + 0.1)^3 = $15 million
So the NPV of taking the $14 million 3-movie deal is $10.9 million, while passing it up for the $5 million per year roles has an NPV of $15 million. Hence, NPV favors passing up the $14 million offer.
IRR (Internal Rate of Return) approach:
* The $14 million 3-movie deal generates $14 million in total cash flows over 3 years.
* The $5 million per year for 3 years generates $15 million in total cash flows.
To calculate IRR, we set the present value of cash flows equal to the initial investment amount:
$14 million / (1 + IRR)^3 = $10.9 million
IRR = 34.8%
$15 million / (1 + IRR)^3 = $0
IRR = 20%
So the IRR of the $14 million 3-movie deal is 34.8% which is higher than the 20% IRR of the $5 million per year roles.
Hence, IRR favors taking the $14 million 3-movie deal offer.
In summary, NPV recommends passing up the offer while IRR recommends taking the offer, giving different decisions due to judging the offer based on either present value or internal return. Let me know if you need more details!