Ben and Carla Covington plan to buy a condominium. They will obtain a $225,000, 30-year mortgage at 7.5 percent. Their annual property taxes are expected to be $2,050. Property insurance is $530 a year, and the condo association fee is $245 a month. Based on these items, determine the total monthly housing payment for the Covingtons. Use Exhibit 7-7. (Round your intermediate calculations and final answer to 2 decimal places.)

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TomShelby TomShelby · Answer 1 · 2019-08-13T02:54:57+02:00

Answer:

Monthly housing payment 2,033.22

Explanation:

We need to calculate the monthly cuota of the mortgage

It will be the cuota of a 30 year annuity at 7.5 rate

[tex]PV \div \frac{1-(1+r)^{-time} }{rate} = C[/tex]

We should convert the year in month and the rate in monthly, because the payment are monthly.

time= 30 year so 30 x 12 = 360 months

rate = 0.075 / 12 = 0.00625 monthly

Present Value = 225,000

[tex]225,000 \div \frac{1-(1+0.00625)^{-360} }{0.00625} = C[/tex]

C = $1,573.23

Now we will calculate the propert taxes, insurance per month

2,050 / 12 = 170.83

530 / 12 = 44.16

1,573.23 + 170.83 + 44.16 + 245 = 2,033.22