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Mathematics 15 Online
OpenStudy (anonymous):

Purchasing discount points is a decision which can be financially justified or not justified. Create a unique example where purchasing discount points is not justified, solve the problem, and explain why the decision isn’t justified. @jim_thompson5910

jimthompson5910 (jim_thompson5910):

how far did you get?

OpenStudy (anonymous):

well in trying to create a problem i tried to create one where this individual bought a house and make renovations

jimthompson5910 (jim_thompson5910):

what does it mean to buy discount points?

OpenStudy (anonymous):

well first we must understand what are discount points

OpenStudy (anonymous):

which discount points to me are fees paid directly to the lender at closing in exchange for a reduced interest rate

jimthompson5910 (jim_thompson5910):

very good

jimthompson5910 (jim_thompson5910):

that's the general idea the specifics are this "Each discount point generally costs 1% of the total loan amount and depending on the borrower, each point lowers your interest rate by one-eighth to one one-quarter of your interest rate. Source: http://www.investopedia.com/terms/d/discountpoints.asp

jimthompson5910 (jim_thompson5910):

On that same page, it says "Borrowers gain the benefit of lowered interest payments down the road, but the benefit applies only if the borrower plans on holding onto the mortgage long enough to save money from the decreased interest payments" So if the person plans to stay with the mortgage for say 15 to 30 years, then it makes sense to pay for discount points. The borrower will pay less in interest overall. However, if the borrower is just going to flip the property in a short amount of time (say 1, 2 or 3 years maybe), then it is not beneficial to pay extra for discount points.

jimthompson5910 (jim_thompson5910):

this page http://themortgagereports.com/13644/discount-points-for-mortgages-explained-in-plain-english also explains "The decision to pay discount points or receive them is a personal one, and one which will depend on your individual loan and your circumstances. If you're planning to move within the few years, paying points could be a losing gamble; you may never reach your breakeven."

OpenStudy (anonymous):

So the post above would be my problem @jim_thompson5910

jimthompson5910 (jim_thompson5910):

both basically are saying the same thing

jimthompson5910 (jim_thompson5910):

the longer you hold onto the loan, the more valuable discount points are

OpenStudy (anonymous):

so what can i create for a real world scenario

jimthompson5910 (jim_thompson5910):

I'm not sure about the very technical specifics, but you can probably be flexible with that part

OpenStudy (anonymous):

oh

OpenStudy (anonymous):

can you help me create one

jimthompson5910 (jim_thompson5910):

why don't you come up with one and let's see if it will work or not. Don't worry about it being realistic. We'll work out those details later.

OpenStudy (anonymous):

ok so Jamie has boughten a house for about 275000

jimthompson5910 (jim_thompson5910):

you would use "bought" instead of "boughten"

jimthompson5910 (jim_thompson5910):

but so far, so good

OpenStudy (anonymous):

right

jimthompson5910 (jim_thompson5910):

what else?

OpenStudy (anonymous):

um but over the past year it seems as though she decided that she would like to make renovations

OpenStudy (anonymous):

I am trying to make scenario where you buy a house, "fix it up" and then sell it, and you want to do this in one year. In such a case, the points will cost more than the interest saved.

OpenStudy (anonymous):

@jim

jimthompson5910 (jim_thompson5910):

one sec while I think

OpenStudy (anonymous):

???

jimthompson5910 (jim_thompson5910):

I'm looking over a table, one moment

jimthompson5910 (jim_thompson5910):

ok I got it (at least I think I do)

jimthompson5910 (jim_thompson5910):

Let's say that "one year" is pushed back to "three years". Does that sound good?

OpenStudy (anonymous):

Ok

jimthompson5910 (jim_thompson5910):

ok I'm using a bank calculator to calculate the mortgage payments and how much is paid total for the three years I'm using this here http://www.bankrate.com/calculators/mortgages/mortgage-loan-points-calculator.aspx

jimthompson5910 (jim_thompson5910):

here's what I typed in (see attached)

jimthompson5910 (jim_thompson5910):

Then when I clicked "view report" I got this

jimthompson5910 (jim_thompson5910):

For the loan with points, we have "Total payments (principal & interest) = $47,264.04 after 3 years" and for the loan without points, we have "Total payments (principal & interest) = $49,158.72 after 3 years" do you see this?

OpenStudy (anonymous):

Yes

jimthompson5910 (jim_thompson5910):

so it appears that we save about $2000 when we buy points BUT we need to add the $5,500 of closing costs to the total amount of payments to get the true total cost 47,264.04 + 5500 = 52,764.04

OpenStudy (anonymous):

ok

jimthompson5910 (jim_thompson5910):

So if you buy points, then the total cost after 3 years is $52,764.04

jimthompson5910 (jim_thompson5910):

if you don't buy points, the total cost is $49,158.72 after 3 years

OpenStudy (anonymous):

It says to explain why this problem is not justified?

jimthompson5910 (jim_thompson5910):

so for this short term scenario of 3 years, it costs more to buy points

jimthompson5910 (jim_thompson5910):

it's not justified because it costs more

OpenStudy (anonymous):

ok

jimthompson5910 (jim_thompson5910):

it only costs less when you extend it out for longer a term (say 15 years or 30 years)

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

if i could give you more than one medal i would because you were such an awesome help

jimthompson5910 (jim_thompson5910):

I'm glad I could help

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