Answer:
$138,6126
Explanation:
The general formula to solve this is FVAn = PMT(PVIFAi,n)
Where FVAn is Face value (annual rate)
PMT is payment
PVIFA is Present Value Interest Factor of an Annuity =
i is the interest and n is the number of time in months
Calculate pmt for 15years (convert to months =180 months)
195,000 = Pmt × PVIFA (0.055/12, 180 months)
Pmt of $1,593.31 × 180 = $286,795.8
Calculate pmt for 30years (convert to months =360 months)
195,000 = Pmt × PVIFA (0.061/12, 360 months);
Pmt of $1,181.69 × 360 = 425,408.4;
Now subtract pmt at 15years from pmt at 30years
$425,408.4 – $286,795.8 = $138,6126.