You apply for a loan of $200,000 to purchase a house for a standard 30 year period at a SAIR of 6% per year, compounded monthly. The bank gives you two offers

1. Fixed monthly payments for 15 years of $1000 and making a lump sum payment for remaining principal to pay off the loan. What would be the lump sum payment?

2. Fixed monthly payments for 15 years of $1000 and making higher payments going forward. What would be those higher payments?