Derek Wayne has obtained a 30-year, fixed-rate home loan of $ 100,000 with an annual interest rate of 7.5 percent. Because the loan extends for such a lengthy period, the mortgage(抵押) company calculates a monthly payment that ensures it will get most of its interest back first. Thus in the beginning months, Wayne’s principal payment—the amount he pays toward his actual loan—increases extremely slowly.
| Payment Number |
Total Monthly Payment |
Principal Portion of Payment |
Interest Portion of Payment |
Current Balance |
| 1 |
$699.21 |
$ 74.21 |
$ 625.00 |
$99,925.79 |
| 2 |
$699.21 |
$74.68 |
$624.54 |
$99,854.11 |
| 359 |
$699.21 |
$690.56 |
$8.66 |
$694.87 |
| 360 |
$699.21 |
$694.87 |
$4.34 |
$0.00 |
Let’s analyze Wayne’s early payments. Imagine that on December 15 the Mauritanian Mortgage Corporation gives Wayne $100,000, and on January 15 his initial payment is due. Throughout this first month, interest accumulates on the entire $ 100,000. On a yearly interest rate of 7.5%, Wayne’s monthly rate is 0.625% or 7.5%divided by 12. Multiplying $100,000 by 0.625% yields $625, the portion of Wayne’s first monthly payment that is interest. So Wayne now owes $ 99,925.79 ( $100,625-$699.21). His February interest payment will be 0.625% of $ 99,925.79.
By the time Wayne makes his last few payments, his monthly interest payment has decreased considerably. His balance following his 359th payment is $ 694.87, and 0.625% of that is about $ 4.34, his final interest payment. What was the total amount of interest Wayne paid? Multiplying 360 months by $699.21 equals $ 251,715.60, and subtracting $100,000(the loan amount) leaves $151,715.60—over 1.5 times what he actually borrowed!This passage is mainly concerned with_________________.
| A.Derek Wayne |
| B.the Mauritanian Mortgage Corporation |
| C.how interest payments on a loan change |
| D.calculating the number of payments Wayne made |
The monthly interest rate on Wayne’s loan was____________.
| A.7.5% | B.6.5% |
| C.0.625% | D.$625 |
We can conclude that Wayne’s total monthly payment was always___________.
| A.$699.21 | B.$100,000 |
| C.$360 | D.$151,715.60 |
The table in the passage helps the readers see_____________.
| A.Wayne’s down payment before he took out the loan |
| B.Wayne’s first and last payments |
| C.how much his interest payments increased |
| D.at what point the interest and principal payments were just about equal. |