3.Derek Wayne has obtained a 30-year,fixed-rate home loan of 100,000with an annual interest rate of 7.5percent.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 15the Mauritanian Mortgage Corporation gives Wayne 100,000,and on January 15his 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 100,000by 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 360months by 699.21equals 251,715.60,and subtracting 100,000(the loan amount) leaves 151,715.60-over 1.5times what he actually borrowed!
46.This passage is mainly concerned withC.
A.Derek Wayne
B.the Mauritanian Mortgage Corporation
C.how interest payments on a loan change
D.calculating the number of payments Wayne made
47.The monthly interest rate on Wayne's loan wasC.
A.7.5% B.6.5% C.0.625% D.625
48.We can conclude that Wayne's total monthly paymentwasalwaysA.
A.699.21B.100,000C.360 D.$151,715.60
49.The table in the passage helps the readers seeB.
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.