Question

Mr. Bell buys a home for an unspecified amount. He pays a down payment of $20,000 and finances the remainder for 15 years with level end-of-month payments of $1,692. The annual effective interest rate for the first five years is 4%, and thereafter it is 6%. Mr. Bell sells the house just after making his 100th mortgage payment. The selling price is $258,000. How much money will Mr. Bell get at closing? (Remember, the loan holder is paid first, and then Mr. Bell receives the balance of the inflow from the resale.)

Answer 1

$146,105.22.

Step-by-step explanation:

First, find the monthly interest rate from an effective rate of 6%

Rate = (1.06) ^ (1/12) - 1 = 0.00486755

Present value = 1692 [1 - (1.00486755) ^ - (180-100)] / 0.00486755 = 111,894.78

At closing = 258,000 - 111,894.78 = $146,105.22