Assume you want to buy a $300,000 house by making 20% down payment and taking a 6.3% interest 30-year mortgage for the balance.

a) how much is the monthly mortgage payment?

b) what will be the balance on the mortgage after 150th payment?

c) if the mortgage company quoted you 6% interest with $6,000 upfront point fee payment, would you take it or would you just take the no point 6.3% rate? Show calculations.