A project has the following cash flows: C$0=100,000$; C$1=50,000$; C$2=150,000$; C$3=100,000.$ If the discount rate changes from $12$ percent to $15$ percent, what is the CHANGE in the NPV of the project $($approximately$)?$

Multiple Choice

$12,750$ increase

$12,750$ decrease

$14,240$ increase

$14,240$ decrease