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Mathematics 10 Online
OpenStudy (anonymous):

Matt obtains a mortgage for $400,000 with the following terms: 25 year 7/1 ARM at 4.5% with a 3/8 cap structure Initial monthly payment: $2,223.33 What will be the balance of the loan at the end of the initial interest rate period?

OpenStudy (anonymous):

$213,240.28 $328,737.10 $348,105.14 $351,431.61

OpenStudy (anonymous):

@jim_thompson5910 i am so sorry for bothering you again this is the last one i'll ask you lol i just have trouble with ARM's

jimthompson5910 (jim_thompson5910):

what is the initial interest rate

OpenStudy (anonymous):

4.5%

jimthompson5910 (jim_thompson5910):

how long does that interest rate stay at 4.5%

OpenStudy (anonymous):

7 years?

jimthompson5910 (jim_thompson5910):

yes, then the 1 in "7/1" means the interest rate will increase every year the increase will be 3% each time (3 is from the "3/8 cap") the max amount they can increase the interest is 8% (8 is from the "3/8 cap")

jimthompson5910 (jim_thompson5910):

anyways, doing this by hand is definitely a pain, but we can use a calculator

jimthompson5910 (jim_thompson5910):

one sec

jimthompson5910 (jim_thompson5910):

ok go here http://www.bankrate.com/calculators/mortgages/mortgage-calculator.aspx

jimthompson5910 (jim_thompson5910):

type in 400,000 for the mortgage amount 4.5 for the interest rate 25 for the years then click "show amortization table"

jimthompson5910 (jim_thompson5910):

tell me when you've done so

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

alright got it

jimthompson5910 (jim_thompson5910):

notice how the table starts at Dec 2014, basically next month

jimthompson5910 (jim_thompson5910):

we will add 7 years to this to get to Dec 2021. We stay in the same month to add exactly 7 years then go back one month to Nov 2021 and look at the last column. This figure is the balance you still owe

jimthompson5910 (jim_thompson5910):

this balance is the amount AFTER you make the payment in Nov 2021

OpenStudy (anonymous):

so B?

jimthompson5910 (jim_thompson5910):

yes I agree

OpenStudy (anonymous):

that table is really handy! haha

OpenStudy (anonymous):

thanks so much

jimthompson5910 (jim_thompson5910):

now you could do all that by hand, but you'd have to work 12*7 = 84 rows (I think), which is definitely overkill

jimthompson5910 (jim_thompson5910):

np

jimthompson5910 (jim_thompson5910):

yes keep this site or something like it in mind when you buy a house in real life

OpenStudy (anonymous):

yes definitely and i hopefully won't be doing that for a while but i'll remember it

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