In: Finance
Bob is considering buying a home and selling it in one year. At t=0 he buys a house, the price is $100,000. At t=1 the house appreciates (i.e. the price goes up) by 20%, and Bob sells it.
Bob also pays transaction costs: buying costs are 5% of buying price, selling costs are 8% of selling price. Each time period is a year. Bob does not take any mortgages. Find the NPV of this project if the interest rate is 4%.
Calculation of NPV
Particulars | T-0 | T-1 |
Purchase Cost | $ -100,000.00 | - |
Buying Cost | $ -5,000.00 | - |
Selling Price | - | $ 120,000.00 |
Selling Cost | - | $ -9,600.00 |
Net Cash Flows | $ -105,000.00 | $ 110,400.00 |
Discounting Factor @ 4% | 1.00 | 0.96 |
Present Value of Cash Flows | $ -105,000.00 | $ 105,984.00 |
NPV = -$105,000.00 + $105,984.00 = $984