Based on the information given what will be her annualized IRR from refinancing is 64.799%.
First step is to calculate the PMT
PMT=PV× rate/[1-(1+rate)^time
PMT=$1,000,000×0.07/12÷[1-(1+0.07/12)^30×12
PMT=$1,000,000×0.07/12÷[1-(1+0.07/12)^360
PMT=$1,000,000×0.005833333÷[1-(1+0.005833333)^360
PMT=$5,833.333÷[1-(1.005833333)^360
PMT=$6,653.02
Second step is to calculate the present value (PV) after 5 years
PV=PMT×[1-(1+rate)^time/rate
PV=$6,653.02×1-(1+0.07/12)^25×12÷0.07/12
PV=$6,653.02×1-(1+0.07/12)^300÷0.07/12
PV=$6,653.02×1-(1+0.005833333)^300÷0.005833333
PV=$6,653.02×1-(1.005833333)^300÷0.005833333
PV=$941,315.20
Third step is to compute PMT for refinancing when rate is 6%
PMT=PV× rate/[1-(+rate)^time
PMT=$941,315.20×0.06/12÷[1-(1+0.06/12)^360
PMT=$941,315.20×0.005÷[1-(1+0.005)^360
PMT=$4,706.576÷[1-(1.005)^360
PMT=$6,063.72
Third step is to calculate the monthly savings
Monthly savings=$6,653.02-$6,063.72
Monthly savings=$589.30
Fourth step is to calculate the Cost of refinancing
Cost of refinancing=1%×$941,315.20+$1,500
Cost of refinancing=$9,413.152+$1,500
Cost of refinancing=$10,913.152
Fifth step is to calculate the IRR
PMT savings=Cost of refinancing ×IRR÷[1-(1+IRR)^time
$589.30=$10,913.152×IRR÷[1(1+IRR)^300
Monthly IRR=5.3999%
Annualized IRR=5.3999%×12 months
Annualized IRR=64.799%
Inconclusion what will be her annualized IRR from refinancing is 64.799%.
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