Question: I am having issues getting started. These are the first few. Once i understand these i should be fine. Thanks How Much House Can You
I am having issues getting started. These are the first few. Once i understand these i should be fine. Thanks
How Much House Can You Afford?
Your annual gross (pre-tax) salary is $56,000. You can obtain a 30-year fixed rate mortgage at annual percentage rate (or APR) of 3.0%. You have $3,800 in other annual pre-tax income. You also have to pay $550 per month on an auto loan and student loans. What is the most expensive home you can buy under these circumstances?
- How much monthly mortgage payment can you afford if it can be up to 28% of your gross (total) income? (Hint: This limit comes from the front-end ratio or mortgage to income ratio which is 28%. It means lenders will not allow you to take out a mortgage such that its monthly payment exceeds 28% of your gross monthly income. To find your gross income, be sure to include both your salary and other income.) (5 pts)
- $1,395
- $1,412
- $1,427
- $1,436
- How much monthly mortgage payment can you afford if it can be up to 36% of your gross income when other long-term debt payments are included? (Hint: This limit comes from the back-end ratio or mortgage to income ratio which is 36%. It means lenders will not allow you to take out a mortgage such that its monthly payment when combined with payments towards other long-term debt obligations exceeds 36% of your gross monthly income. First find your gross annual income as you did in Problem 1. Then find 36% of your gross monthly income and finally subtract from that the payments required by other long-term debt obligations such as auto and student loans.) (5 pts)
- $1,235
- $1,244
- $1,257
- $1,268
- What is the maximum amount you can borrow if you want to meet both the front-end and back-end ratio requirements? (Hint: Let c be the maximum monthly payment that will meet both the front-end and back-end ratios so c is the lesser of the two maximum allowed mortgage payments as computed in Problems 1 and 2. The maximum amount you can borrow is PV = (c / r) x (1- 1/(1+r)t where r = monthly interest rate = APR / 12 and t = total number of monthly payments in a 30-year mortgage.) (5 pts)
- $265,123
- $274,586
- $288,479
- $295,064
- Assuming that you are making a 20% down payment in order to avoid private mortgage insurance (or PMI), what is the price of the most expensive house you can afford to buy? (Hint: You already know the maximum amount you can borrow from Problem 3 which is equal 80% of the price of the most expensive house you can afford. In reality, this is an over-estimate of what you can afford because we neglected the effect of property taxes and homeowners insurance which can substantially increase your monthly mortgage payment.)
- $349,753
- $356,436
- $368,829
- $373,254
- What is the amount of total interest paid over the entire 30-year term of the mortgage if you purchase the most expensive house you can afford as suggested by the previous problems? (Hint: Total interest paid = total number of monthly payments over 30 years x amount of monthly payment initial mortgage principal or amount borrowed.)
- $150,892
- $151,453
- $152,776
- $153,515
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