A firm considers a project that requires $$100,000$ investment today $($at t$=0),$ generates $$55,000$ cash flow at t$=1,$ $$45,000$ cash flow at t$=2,$ requires an additional investment that results in negative cash flow of $-$$$10,000$ at t$=3,$ and generates $$50,000$ cash flow at t$=4.$ The firm's cost of equity is $18\%,$ the cost of debt is $6\%$ and WACC is $14\%.$ The firm wants to use the NPV criterion to decide whether to invest in this project. Find NPV$.$