24. Third Federal offers a 30 year, zero point, conventional loan. The product rate is 4.56% with monthly payments. Calculate the monthly payment on a $325,000 loan.
a.1,658.33
b.1,672.25
c.1,678.33
d.1,683.22
Solution: | ||
Answer is a. 1,658.33 | ||
Working Notes: | ||
present value of annuity = Px[ 1-1 /(1 + i)^n)]/ i | ||
P=monthly payment = ?? | ||
i= interest rate per period = 4.56%/12 | ||
n= no. Of period = 12 x 30 =360 | ||
PV of annuity= loan $325,000 | ||
present value of annuity = Px[ 1-1 /(1 + i)^n)]/ i | ||
325,000 = P x (1-1/(1+(4.56%/12))^360)/(4.56%/12) | ||
or 325,000 = P x 195.9798253 | ||
P= 325,000/195.9798253 | ||
P= $1658.333961 | ||
P= $1658.33 | ||
Monthly payment on a $325,000 loan is $1658.33 | ||
Please feel free to ask if anything about above solution in comment section of the question. |
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