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Edit View History Bookmarks Tools Window Help Do Homework-Allvandel Adonso https:/ Math 1312 Philipson Avande Homework: Homework 6 Score: 0 of 1 pt 4.D.43 Consider 22 of 45(14 completo|v HW Score: 3 closing costs for each option Explain which is the beter option and why the folowing pair of loan options for a $180,000 mortgage. Caloulate the monthly payment and total Choice 1:30-year fixed nie at 35% with asing cots of S2300 and 1 port Coico 2: 30-year fed rate at 325% with closing costs of $200 and 5 ports. What is the monthy payment for choice 1 Do not round until the final answer. Then round to the nearest cent as needed) Enter your answer in the answer box and then click Check AnswerExplanation / Answer
Part A.
Mortgage M = $180000
rate = 3.5% = 0.035
Time = 30 year
Per month payment will be
PMT = M*(r/n)/[1 - (1 + r/n)^-n*t]
PMT = (180000*0.035/12)/[1 - (1 + 0.035/12)^(-12*30)]
PMT = $808.28
Closing costs = $2300 + $180000*0.01 = $4100
B.
Mortgage M = $180000
rate = 3.25% = 0.0325
Time = 30 year
Per month payment will be
PMT = M*(r/n)/[1 - (1 + r/n)^-n*t]
PMT = (180000*0.0325/12)/[1 - (1 + 0.0325/12)^(-12*30)]
PMT = $783.37
Closing costs = $2300 + $180000*0.05 = $11300
You will save per month = 808.28 - 783.37 = $24.91 in case 2.
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