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Answer:
The mortgage payment will be of $1,554.24
The total payment related to the house will ascend to $3,886.24
Explanation:
Mortgages payments:
[tex]PV \div \frac{1-(1+r)^{-time} }{rate} = C\\[/tex]
PV 195,000
time 204 (17 years x 12 months per year)
rate 0.005208333 (0.0625 annual / 12 month per year)
[tex]195000 \div \frac{1-(1+0.0052083)^{-204} }{0.0052083} = C\\[/tex]
C $ 1,554.239
TO this payment ewe add the insurance and the taxes:
1,554.24 + 1,080 + 1,252 = 3,886.24
Tax is considered as a type of compulsory contribution to the state’s revenue, levied by the government on the workers' income and business profits, or added to the cost of some goods, services, and transactions.
Given Information:
- PV=$195,000
- Time= 204 (17 years x 12 months per year)
- Rate= 0.005208333 (0.0625 annual / 12 month per year)
- Taxes=$1,252
- Insurance=$1,080
[tex]=PV/\frac{1-(1+r)^{-time} }{rate} =C\\=195,000/\frac{1-(1+0.0052083)^{-204} }{0.0052083} =C[/tex]
C=$ 1,554.239
To this payment, add the insurance and the taxes:
=1,554.24 + 1,080 + 1,252 = $3,886.24
Thus, The mortgage payment will be of $1,554.24
The total payment related to the house will ascend to $3,886.24
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