Chin Woo bought a home for $160,000. He put down 20 percent. The mortgage is at 8 1/2 % for 25 years. By using the table in the handbook, his yearly payments are:

Respuesta :

Down payment
160,000×0.20=32,000

128000=X[((1-(1+0.085)^(-25))/0.085]
Solve for x
X=12507.10

Answer:

His yearly payment is $12507.095

Step-by-step explanation:

We are given

Chin Woo bought a home for $160,000

He put down 20 percent

It means that down payment is 20% of price of home

and he took loan of remaining amount

so, present value is 80% of 160000

[tex]PV=\frac{80}{100}\times 160000[/tex]

[tex]PV=128000[/tex]

The mortgage is at 8 1/2 % for 25 years

so, r=8.5%=0.085

t=25

now, we can use payment formula

[tex]P=\frac{r(PV)}{1-(1+r)^{-t}}[/tex]

now, we can plug values

[tex]P=\frac{0.085\times 128000}{1-(1+0.085)^{-25}}[/tex]

now, we can solve for P

we get

[tex]P=12507.095[/tex]

so,

His yearly payment is $12507.095