For full credit **show all your work**, numbering each step so I can follow your logic, include the appropriate cash flow diagrams and box your final answers with the correct units. You are being assigned to a distant city for a five-year period. You find you can either rent a suitable house to live in on a five-year lease for $1,050 per month or you can buy the same house for $105,000. The average ownership costs over the five-year period are estimated as follows: Real estate taxes are 3 percent of purchase price per year. Maintenaren, $150 per month Insurance. $300 per year. Rebate on income tax, $1,200 per year. (a) Ifi = 9 percent and the house is purchased for cash (no mortgage), what would the min- imum sales price have to be in five years to reach the break-even point with renting? (Ans. $110,400) b) If the house could be bought with no down payment and an 8 percent, 30-year mortgage Inan ( = 8% for the mortgage. 9% for everything else). what would the break-even sell- ing pricebe in five years? (Ans. $104,200) Note: Assume all series payments are made at EOY, and there are no taxes except as listed in the