Mathematics: Keith is purchasing a $215,000 home with a 30-year mortgage at 5.5%. because he is not making a down payment, pmi in the amount of $93.50/month is required for the first 2 years of the loan. based on this information, what is the total cost of this loan? a. $452,092.10 b. $444,923.03 c. $441,714.00 d. $421,369.20

Keith is purchasing a $215,000 home with a 30-year - id215000301196085, ashley232323

sallybob0

14.03.2022

$441,714.00

Step-by-step explanation:

Cost of the home = $215,000

Period of the mortgage = 30 years

Rate of Interest = 5.5% = 0.055

PMI = $93.50/ month for 2 years

Total PMI = 93.50 * 24 = $2,244

Mortgage amount to be repaid every month = 215000 divide by

$\frac{((1+{.055/12}))^{360}-1)}{((1+{.055/12}))^{360})*(.055/12)}$

= 215000/176.1218 = 1220.75

Total cost of the loan = 1220.75*360 + 2244 = 439470 + 2244

= $441,714

Hope it helps.

Thank you !!

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