Nevaeh finances $147,500 to purchase a townhouse with a 30/8 balloon mortgage at 3.6%. What is the remaining balance at the end of the mortgage?
$83,122.40
$93,916.00
$113,753.73
$122,166.82

- anonymous

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- anonymous

@zepdrix

- anonymous

@wio

- Plasmataco

hmm...

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## More answers

- Plasmataco

what do you mean by 30/8 baloon morgage?

- anonymous

The 30 means that the beginning fixed monthly payments are going to be calculated as if
the mortgage would be paid off in 30 years. The 8 means that fixed payments will be made for 7 years

- anonymous

sorry for 8 years

- Plasmataco

147000*(3.6)^30?

- anonymous

@zepdrix

- Plasmataco

there is a formula for this.

- anonymous

@mathmate can you help me

- anonymous

hello @mathmate

- anonymous

are you there @mathmate

- anonymous

@hero can you help me out here

- mathmate

Yeah, I am on something. I will help you if no one does, a little later on!

- anonymous

oh ok @mathmate

- anonymous

@jim_thompson5910 right?

- jim_thompson5910

let me think

- jim_thompson5910

ok a calculator is best for this
go here
http://www.bankrate.com/calculators/mortgages/mortgage-calculator.aspx
and type in what you see in the attached image I'm posting

##### 1 Attachment

- jim_thompson5910

instead of hitting "calculate"
hit the "show amortization schedule" button which is below the calculate button
let me know when you've done that

- anonymous

alright did it @jim_thompson5910

- jim_thompson5910

ok so 8 years from now is 2015+8 = 2023
scroll down til you get to the row that starts with June 2023

- jim_thompson5910

what is the dollar figure in the last column of that row?

- anonymous

$122,166.82

- jim_thompson5910

good

##### 1 Attachment

- anonymous

Aaliyah obtained a 25-year, fixed rate mortgage for $220,500 on a home that cost her $243,950. If the interest rate on the mortgage is 6.15%, how much interest will Aaliya pay over the life of the mortgage?

- anonymous

Would this one be the same thing?

- jim_thompson5910

that's the remaining balance after 8 years
that amount is to be paid off or refinanced somehow

- jim_thompson5910

you can use the same calculator, yes

- anonymous

wait but it gives me two values @jim_thompson5910

- jim_thompson5910

what do you mean?

- anonymous

because it says that she is recieving a fixed rate

- anonymous

that she got at first for 243950

- anonymous

do i plug in for the mortgage value 220,500

- jim_thompson5910

hmm not sure, but let me think

- anonymous

yeah thats what got me confused at the beginning

- jim_thompson5910

does it give you any answer choices?

- anonymous

$257,766
$188,341
$234,316
$211,791

- jim_thompson5910

ok you're going to type in 220500 into the "Mortgage amount" box

- jim_thompson5910

6.15 is the interest rate
25 is the number of years
use that calculator to figure out the monthly payment and tell me what you get

- anonymous

I got 1,440.97

- anonymous

@jim_thompson5910

- jim_thompson5910

that's the monthly payment
multiply that by 300
300 months = 25 years * (12 mon/1 year)

- anonymous

so that would be 432291

- anonymous

@jim_thompson5910

- jim_thompson5910

now subtract off the mortgaged amount
432,291-220,500 = 211,791

- anonymous

Riley made a 18% down payment on a home that cost $212,400. He financed the remaining amount using a 25-year, fixed-rate mortgage at 5.85%. His monthly payment will be $1,106.25. Riley will pay for two discount points, a 0.5% origination fee, brokerage fee, state documentary taxes on the deed and the mortgage, and the intangible tax.
Discount points equal 1% of the mortgage amount.
Documentary stamp tax on deed is $0.70 per $100 or portion thereof.
Documentary stamp tax on mortgage is $0.35 per $100 or portion thereof.
Mortgage broker fee is $185 plus 3% of the mortgage amount.
Intangible tax is 0.2% of the mortgage amount.
What is the total cost of Riley’s home including the principal, interest, down payment, and fees?
$382,351.08
$556,484.08
$384,629.00
$346,767.20

- anonymous

@jim_thompson5910

- anonymous

@jim_thompson5910

- jim_thompson5910

let me think, but mathmate go ahead and post what you get

- mathmate

@gabylovesu
Sorry, it's getting late for me tonight. If the calculator does not do your problem, you can tag me or @jim_thompson5910 tomorrow. But I think if the calculator worked for the first problem, it should be good for similar problems.

- jim_thompson5910

still thinking but I may have the answer, one sec

- anonymous

???

- jim_thompson5910

I'm stuck on the stamp parts. Do you have any formulas for those? I'm trying to determine if the stamp taxes are based on the mortgage amount or the value of the home.

- anonymous

Like the documentary stamp act

- anonymous

???

- jim_thompson5910

yeah for the deed and the mortgage

- jim_thompson5910

do you see those formulas anywhere in your notes?

- anonymous

well they are not really formulas but steps

- jim_thompson5910

can I have a look? through a screenshot maybe?

- anonymous

This is an example of how they used it The buyer typically pays the documentary stamp tax on the mortgage. In Florida, a buyer will pay $0.35 for every $100 (or portion thereof) of borrowed money. To determine the tax on the mortgage, round the amount borrowed up to the next $100. Then multiply that amount by 0.35 divided by 100, or 0.0035.

- jim_thompson5910

ok I'll try that

- jim_thompson5910

I'm off by about $35 and I'm not sure why

- jim_thompson5910

this is what I'm getting
Downpayment = 0.18*212400 = 38232
Mortgage Amount = 212400 - 38232 = 174168
Total amount paid back (principal + interest) = 1106.25*25*12 = 331875
Discount points = 2*0.01*174168 = 3483.36
Origination Fee = 0.005*174168 = 870.84
Documentary stamp tax on deed (based on home value)
212,400*0.70/100 = 1486.80
Documentary stamp tax on mortgage (based on mortgage value)
174168 rounds to 174200
174200*0.35/100 = 609.7
Mortgage broker fee = 185 + 0.03*174168 = 5410.04
Intangible Tax = 0.002*174168 = 348.336 = 348.34
Add up the results:
38232+331875+3483.36+870.84+1486.80+609.7+5410.04+348.34 = 382,316.08

- anonymous

ok

- jim_thompson5910

is there anything in your notes about "Documentary stamp tax on deed" ?

- jim_thompson5910

you provided the "documentary stamp tax on the mortgage" portion and that was helpful

- anonymous

Yeah I do @jim_thompson5910

- anonymous

The seller typically pays the documentary stamp tax on the deed. As one example, in almost every county in Florida, the seller is charged $0.70 for every $100 (or portion thereof) on the sale price of the house. To determine the tax on the deed, round the selling price up to the next $100. Then multiply that amount by 0.70 divided by 100, or 0.007. Regardless of whether a buyer pays cash for a house or uses financing, the seller is still responsible for the documentary stamp tax on the selling price.

- jim_thompson5910

ok let me try something

- jim_thompson5910

yeah I'm still getting 382,316.08
so I'm guessing the answer should be 382,351.08
there's either a rounding error somewhere or I'm missing some fee(s) ?

- anonymous

yeah

- jim_thompson5910

honestly i don't know why they make it so complicated with all these taxes and fees. It's kinda ridiculous

- anonymous

No they do not know how to make proper questions

- anonymous

Colin and Payton bought 79 shares of Stock A at $63 per share, 43 shares of Stock B at $119 per share, and a ten-year $7,500 bond with a 14.91% coupon for $7,000. Colin and Payton sold all stocks and bonds yesterday. Stock A was $78 per share and Stock B had a value of $131 per share. If neither stock paid a dividend, which investment has the highest rate of return?
Stock A
Stock B
Bond
Stock A and Bond

- anonymous

For this question I It would be Stock A

- jim_thompson5910

Stock A
total cost = 79*63 = 4977
total revenue = 79*78 = 6162
Rate of return = (revenue - cost)/cost = (6162-4977)/4977 = 0.238095
Stock B
total cost = 43*119 = 5117
total revenue = 43*131 = 5633
Rate of return = (revenue - cost)/cost = (5633-5117)/5117 = 0.100840
Bond
total cost = 7000
total revenue = 7,000+0.1491*7500*10 = 18,182.5
Rate of return = (revenue - cost)/cost = (18182.5-7000)/7000 = 1.5975

- jim_thompson5910

So it looks like the bond has the highest rate of return

- anonymous

Piper invested $7,400 in a Certificate of Deposit, $4,980 in a corporate bond, $5,100 in a common stock, and $6,350 in a preferred stock, The COD has a rate of return of 3.4%; the corporate bond is 5.8%; the common stock’s rate of return is –1.9%; and the preferred stock has a rate of return of 4.6%. What is Piper’s weighted mean rate of return?
4.60%
3.90%
2.98%
3.09% @jim_thompson5910

- mathmate

@jim_thompson @gabylovesu
For Riley's problem, I get exactly $382316.08 as well, including all charges.
Could Gaby check on two things:
1. typo's on the question,just in case
2. According to the notes, the seller is responsible for the doc.stamp tax on deed (perhaps only in Florida), so Riley should not have to pay the $1486.80.

- mathmate

For Collin & Payton, \(at~maturity\) the bond will only pay 7500*1.1491=8618.25.
So return = (8618.25-7000)/7000=23.11%
It was not stated whether the bond was sold at maturity value.
Even so, stock A (23.8%) still gets the highest return.

- mathmate

Piper,
For each investment, multiply the value of each investment by the rate of return to get the return amount in dollars. Calculate the total value of the investments and the total of the returns.
Weighted mean rate = Total return / total investment

- mathmate

@gabylovesu
If you are interested in calculating Nevaeh's problem (the first one) using formulas instead of calculator, please let me know.

- jim_thompson5910

@mathmate for the bond one, don't you have to include coupon payments as well?

- mathmate

@jim_thompson5910
lol, I think it's a different interpretation between us.
For
"and a ten-year $7,500 bond with a 14.91% coupon for $7,000."
I interpreted it as "a $7500 bond for $7000. The bond carries a 14.91% coupon".

- jim_thompson5910

I'm not sure anymore, but I thought the bond would provide coupon payments for 10 years

- mathmate

Neither am I. However, there is such a thing as a "zero coupon bond", although the question doesn't specify. In any case, the coupons would pay back the nominal value, which comes to be the same total amount. The thing is, the date of disposition (maturity) is not flexible. The question seems to give the idea the bond was sold at the same time as the shares.

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