A recent graduate is planning to acquire a new automobile for commuting to work in Atlanta. One option is to purchase a $25,000 4-door sedan by paying the dealer $3,000 at the time of purchase and financing the remaining $22,000 to be repaid in 60 equal monthly payments at 9% compounded monthly. It is expected that the car is to be sold for 30% of its initial cost after 6 years. Draw the cash flow and compute the present worth of this cash flow if the interest rate for the purchase is 6% compounded monthly or 12% compounded monthly. Which interest rate gives the lowest present worth? Explain why this occurs?