Inatech is contemplating two different projects and decides to perform a financial analysis to determine which is more financially lucrative. Project A and B have the cash flows as shown and Inatech uses a required rate of return of $10\%$ and an inflation rate of $4\%.$ Compute the payback in years and the net present value for both projects and offer advice as to the best course of action. $(4$ marks$)$

i$.$ Using the payback period, the best project is $\_\_\_\_\_\_\_\_$

ii$.$ Using the NPV$,$ the best project is $\_\_\_\_\_\_\_\_\_$

Year A B

$0-$$$100,000-$$$400,000$

$1$ $$50,000$ $$90,000$

$2$ $$15,000$ $$50,000$

$3$ $$50,000$ $$150,000$

$4$ $$75,000$ $$200,000$

$5$ $$500,000$ $$750,000$