Find a place to live in your preferred location.

a. Find a house available for purchase that is at least two bedrooms. Calculate a monthly payment associated with a 30-year fixed mortgage assuming you can make no down payment on this house. (use interest rate of 3.435% and house price of $244,900)

b. Calculate how long it would take you to save a $10,000 down payment for your house if you can invest 2% of your monthly income(monthly income is $3,995.01) into an account that earns 4% compounded monthly.

c. Calculate a new monthly payment for a 30-year fixed mortgage with the $10,000 down payment. How much did you save in interest for having the down payment?

d. Find an apartment available for rent, assuming you have no roommates. Calculate how much you will pay in rent over the course of the 30-year mortgage for the house if rent costs remain fixed. (use $785 as fixed apartment monthly rent)

PLEASE SHOW WORK