Jennifer is saving up for the closing costs ($4250) and down payment on a home. For a better interest rate and savings on mortgage insurance, she must have a down payment of 10%. She can afford a monthly payment of $900 based on her current earnings and expenses. The amount available for the mortgage is reduced by an estimated $175 per month to cover home insurance and real estate taxes. The current nominal annual interest rate is 3% for a 30-year fixed-rate mortgage loan. How much of a loan can she afford
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Ответ:
The amount of Loan Jennifer can afford is $171,962.30.
Explanation:
This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:
PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)
Where;
PV = Present value or the amount of Loan Jennifer can afford =?
P = Monthly payment for the mortgage = Monthly amount she can afford - Estimated monthly home insurance and real estate taxes = $900 - $175 = $725
r = Monthly nominal interest rate = Annual nominal interest / 12 = 3% / 12 = 0.03 / 12 = 0.0025
n = number of months = Number of years * 12 = 30 * 12 = 360
Substitute the values into equation (1) to have:
PV = $725 * ((1 - (1 / (1 + 0.0025))^360) / 0.0025)
PV = $725 * 237.189381504283
PV = $171,962.30
Therefore, the amount of Loan Jennifer can afford is $171,962.30.
Ответ:
The step is done right the first time (not a rework step)
The customer cares (or would pay) for the step to be done.