The Davidson's have a lump sum amount of $$60,000$ saved up and have the budget to pay $$2,500$ at the start of each month for mortgage payments over $25$ years. Determine the price of the home they can afford given interest rates are at $5\mathrm{.}95\%$ compounded monthly.

a

$$551,798$

b

$$451,798$

c

$$391,798$

d

$$491,798$

e

$$591,798$