Consider the following two mutual exclusive projects. If your cost of capital is $12\%,$ which project should you choose?

Project X: C$0=-150,000,$ C$1=70,000,$ C$2=190,000,$ C$3=0,$ C$4=0$

Project Y: C$0=-300,000,$ C$1=10,000,$ C$2=200,000,$ C$3=250,000,$ C$4=50,000$