Question

Johnsons accumulated a nest egg of $40,000 to use as down payment toward a new home. Present gross income has them in high tax bracket, decided to invest min $2400/month in payments (for tax break). Financial obligations cannot exceed $3000/month. If local mortgage rates were increased to 8% for 30-year mortgage, how would this affect the price range of houses that the Johnsons should consider?

Answer 1

so we want the present value of 360 payments of 2400
at i = .08/12 = .006666... (I stored in calculator memory for more accuracy)

PV = 2400(1 - 1.006666..^-360)/.006666...
= 3270840.41

So with a downpayment of 40000 and a payment of 2400 Johnson could consider a house around
367 000 dollars ..... (367080.42)

If you want to know his limit with a payment of 3000 per month, repeat the above, simply replacing the 2400 with 3000 in the calculation, then adding 40000