Lucy bought a house that costs $100,000. She financed it with an 80% LTV mortgage. The mortgage is a 30 year fully amortizing FRM with annual compounding and annual payments. Lucy's annual cost of ownership net of tax savings is exactly equal to the annual rent she would have paid to live in the same house. Lucy will sell the house 30 years after purchase. Suppose the house price grows 4.5% annually (compounded annually). Buying costs are 5% of the purchase price of the house. Selling casts are 8% of the selling price of the house. Using all the information given, write the NPV formula for Lucy's buy vs lease decision if her annual discount rate is. Plug in all the numbers you can. Only plug-in one final net cash-flow for each time