Suppose a firm has an initial expenditure of $$5,000.$ The cash inflows are $$1,150$ at the end of year $1,$ $$1,350$ at the end of year $2,$ $$700$ at the end of year $3,$ $$1,600$ at the end of year $4$ and $$3,350$ at the end of year $5.$ Find the payback period. If the investor has set a pay back period of $3$ years, should she accept the project?