Question: Please exlpane these step by step. Preferable please use a calculator. Thank you! The following exercise is designed to be solved using technology such as
Please exlpane these step by step. Preferable please use a calculator. Thank you!
The following exercise is designed to be solved using technology such as calculators or computer spreadsheets. Interest paid on a home mortgage is normally tax deductible. That is, you can subtract the total mortgage interest paid over the year in determining your taxable income. This is one advantage of buying a home. Suppose you take out a 30-year home mortgage for $250,000 at an APR of 8% compounded monthly. The mortgage payments details for the first year are given below.
| Month | Initial balance | +Interest | Payment | Final balance | Equity |
|---|---|---|---|---|---|
| 1 | $250,000.00 | 1,666.67 | $1,834.41 | $249,832.26 | $167.74 |
| 2 | $249,832.26 | 1,665.55 | $1,834.41 | $249,663.40 | $336.60 |
| 3 | $249,663.40 | 1,664.42 | $1,834.41 | $249,493.41 | $506.59 |
| 4 | $249,493.41 | 1,663.29 | $1,834.41 | $249,322.28 | $677.72 |
| 5 | $249,322.28 | 1,662.15 | $1,834.41 | $249,150.02 | $849.98 |
| 6 | $249,150.02 | 1,661.00 | $1,834.41 | $248,976.61 | $1,023.39 |
| 7 | $248,976.61 | 1,659.84 | $1,834.41 | $248,802.04 | $1,197.96 |
| 8 | $248,802.04 | 1,658.68 | $1,834.41 | $248,626.31 | $1,373.69 |
| 9 | $248,626.31 | 1,657.51 | $1,834.41 | $248,449.41 | $1,550.59 |
| 10 | $248,449.41 | 1,656.33 | $1,834.41 | $248,271.33 | $1,728.67 |
| 11 | $248,271.33 | 1,655.14 | $1,834.41 | $248,092.05 | $1,907.95 |
| 12 | $248,092.05 | 1,653.95 | $1,834.41 | $247,911.59 | $2,088.41 |
Does this make the $250,000 home seem a bit less expensive? 14070%. What is your actual tax savings due to mortgage payments? (Round your answer to the nearest cent.)
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