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Mortgage Options Analysis

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Mortgage Options Analysis

Abstract
You decided to buy a house in Amherst valued at $250,000 and need to borrow the entire amount to finance your house. After shopping around for a mortgage loan, you found that the following two deals from the Mortgage One Company are very attractive:
Option 1: A 15-year fixed rate mortgage with no point and an APR of 5%, compounded monthly.
Option 2: A 15-year fixed rate mortgage with two points and an APR of 4.5%, compounded monthly.
The closing costs (not including the points) for the two loans are identical.
According to the law, the interests on your mortgage payments are tax deductible. In fact, at the end of each year, your lender will simply add up your 12-month interest payments (without considering the time value of money) and forward the mortgage statement to you and the IRS for tax filing purposes. Then you file your tax form according to your income tax rate of 28%.

Calculations
The following assumptions were made for the calculations of mortgage amortization tables: * the amount of money needed to pay for points is available in your bank account; * Mortgage One Company does not allow you to build the point money into the mortgage; * the amount of total interest paid for year and the amount paid for points is tax deductible; * the standard tax deductions are zero, thus, you get tax savings for every dollar paid in interest and for points; * mortgage payments are at the end of each month and you pay taxes at the end of each year; * the discount rate equals to the mortgage rate
First, I converted annual rate into monthly. Since the given APR is compounded monthly:
Monthly Interest Rate = Annual Rate/12
Using annuity immediate formula to calculate monthly payment for both mortgages using appropriate interest rates. Option 1 | | Option 2 | PV | -$250,000 | | PV | -$250,000 |

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