$5.$ Assuming a machine has the following estimated series of cashflows: Year One: $6,000$; Year Two: $4,000$; Year Three: $3,000$; Year Four: $2,000.$ The capital outlay is $9,000$ and the discount rate on the project is $10\%.$ Would you purchase this machine? Why or why not? $$

$6.$ Based on your answer to #$5,$ what's the Profitability Index ratio and what does $"$it$"$ mean? $$

$7.$ The following are cashflows for a new AI program: $$

$$ Year$$ Cashflow $$

$01,200$

$1780$

$2190$

$3390$

Using the trial and errors method of calculating IRR, is the project acceptable if the hurdle rate is $14\%$

$8.$ If want your stock portfolio to grow based on a rate$-$of$-$return of $8\%$ for $10$ years, and you want the account to have $$150,000,$ how much should you invest today?