Name Date
Home Affordability worksheet
Grades 11–12 · CCSS HSA.SSE.B.4
Calcapedia Solve each problem and show your work. Round answers to 2 decimal places where needed.
- 1.
Problem 1. - Gross annual income: $100,000
- Other monthly debt payments: $700
- Down payment: $70,000
- Mortgage interest rate: 5%
- Loan term: 20 years
- Property tax rate: 1% of price per year
- Home insurance: $1,300 per year
- HOA dues: $0 per month
- PMI rate: 0% of loan per year
- Housing cost limit (front-end ratio): 26% of gross income
- Total debt limit (back-end ratio): 36% of gross income
Find: Maximum home price
Answer
- 2.
Problem 2. - Gross annual income: $142,500
- Other monthly debt payments: $550
- Down payment: $55,000
- Mortgage interest rate: 4%
- Loan term: 30 years
- Property tax rate: 1.3% of price per year
- Home insurance: $2,000 per year
- HOA dues: $0 per month
- PMI rate: 0% of loan per year
- Housing cost limit (front-end ratio): 38% of gross income
- Total debt limit (back-end ratio): 30% of gross income
Find: Maximum home price
Answer
- 3.
Problem 3. - Gross annual income: $150,000
- Other monthly debt payments: $680
- Down payment: $60,000
- Mortgage interest rate: 6%
- Loan term: 20 years
- Property tax rate: 1.2% of price per year
- Home insurance: $1,700 per year
- HOA dues: $0 per month
- PMI rate: 0% of loan per year
- Housing cost limit (front-end ratio): 26% of gross income
- Total debt limit (back-end ratio): 22% of gross income
Find: Maximum home price
Answer
- 4.
Problem 4. - Gross annual income: $110,000
- Other monthly debt payments: $600
- Down payment: $92,000
- Mortgage interest rate: 5.8%
- Loan term: 30 years
- Property tax rate: 1% of price per year
- Home insurance: $2,000 per year
- HOA dues: $0 per month
- PMI rate: 0% of loan per year
- Housing cost limit (front-end ratio): 24% of gross income
- Total debt limit (back-end ratio): 45% of gross income
Find: Maximum home price
Answer
- 5.
Problem 5. - Gross annual income: $110,000
- Other monthly debt payments: $450
- Down payment: $60,000
- Mortgage interest rate: 5.8%
- Loan term: 15 years
- Property tax rate: 1.3% of price per year
- Home insurance: $1,800 per year
- HOA dues: $0 per month
- PMI rate: 0% of loan per year
- Housing cost limit (front-end ratio): 35% of gross income
- Total debt limit (back-end ratio): 36% of gross income
Find: Maximum home price
Answer
- 6.
Problem 6. - Gross annual income: $120,000
- Other monthly debt payments: $560
- Down payment: $75,000
- Mortgage interest rate: 5.4%
- Loan term: 30 years
- Property tax rate: 1% of price per year
- Home insurance: $1,575 per year
- HOA dues: $0 per month
- PMI rate: 0% of loan per year
- Housing cost limit (front-end ratio): 26% of gross income
- Total debt limit (back-end ratio): 32% of gross income
Find: Maximum home price
Answer
- 7.
Problem 7. - Gross annual income: $125,000
- Other monthly debt payments: $600
- Down payment: $55,000
- Mortgage interest rate: 5.8%
- Loan term: 20 years
- Property tax rate: 0.9% of price per year
- Home insurance: $950 per year
- HOA dues: $0 per month
- PMI rate: 0% of loan per year
- Housing cost limit (front-end ratio): 36% of gross income
- Total debt limit (back-end ratio): 38% of gross income
Find: Maximum home price
Answer
- 8.
Problem 8. - Gross annual income: $120,000
- Other monthly debt payments: $500
- Down payment: $52,500
- Mortgage interest rate: 8%
- Loan term: 30 years
- Property tax rate: 1% of price per year
- Home insurance: $2,000 per year
- HOA dues: $0 per month
- PMI rate: 0% of loan per year
- Housing cost limit (front-end ratio): 28% of gross income
- Total debt limit (back-end ratio): 45% of gross income
Find: Maximum home price
Answer
- 9.
Problem 9. - Gross annual income: $110,000
- Other monthly debt payments: $660
- Down payment: $56,000
- Mortgage interest rate: 6%
- Loan term: 15 years
- Property tax rate: 1.4% of price per year
- Home insurance: $1,800 per year
- HOA dues: $0 per month
- PMI rate: 0% of loan per year
- Housing cost limit (front-end ratio): 30% of gross income
- Total debt limit (back-end ratio): 38% of gross income
Find: Maximum home price
Answer
- 10.
Problem 10. - Gross annual income: $130,000
- Other monthly debt payments: $500
- Down payment: $70,000
- Mortgage interest rate: 6%
- Loan term: 30 years
- Property tax rate: 0.9% of price per year
- Home insurance: $1,675 per year
- HOA dues: $0 per month
- PMI rate: 0% of loan per year
- Housing cost limit (front-end ratio): 20% of gross income
- Total debt limit (back-end ratio): 35% of gross income
Find: Maximum home price
Answer
Answer key: Home Affordability worksheet
Calcapedia 1. Maximum home price: $339,074.32
Find your monthly income before tax: yearly income ÷ 12
Housing limit: up to 26% of your monthly income can go to housing
Total debt limit: 36% of your monthly income, minus what your other debts already take
You have to stay under both limits, so the lower one sets your housing budget H (here, the housing limit)
Find a: how much each $1 you borrow adds to your monthly payment, including any PMI
Find b: how much each $1 of home price adds in property tax each month
Work backward from your budget H to the highest price whose loan, tax, insurance and HOA fit inside it
2. Maximum home price: $530,673.33
Find your monthly income before tax: yearly income ÷ 12
Housing limit: up to 38% of your monthly income can go to housing
Total debt limit: 30% of your monthly income, minus what your other debts already take
You have to stay under both limits, so the lower one sets your housing budget H (here, the total debt limit)
Find a: how much each $1 you borrow adds to your monthly payment, including any PMI
Find b: how much each $1 of home price adds in property tax each month
Work backward from your budget H to the highest price whose loan, tax, insurance and HOA fit inside it
3. Maximum home price: $288,841.53
Find your monthly income before tax: yearly income ÷ 12
Housing limit: up to 26% of your monthly income can go to housing
Total debt limit: 22% of your monthly income, minus what your other debts already take
You have to stay under both limits, so the lower one sets your housing budget H (here, the total debt limit)
Find a: how much each $1 you borrow adds to your monthly payment, including any PMI
Find b: how much each $1 of home price adds in property tax each month
Work backward from your budget H to the highest price whose loan, tax, insurance and HOA fit inside it
4. Maximum home price: $384,002.16
Find your monthly income before tax: yearly income ÷ 12
Housing limit: up to 24% of your monthly income can go to housing
Total debt limit: 45% of your monthly income, minus what your other debts already take
You have to stay under both limits, so the lower one sets your housing budget H (here, the housing limit)
Find a: how much each $1 you borrow adds to your monthly payment, including any PMI
Find b: how much each $1 of home price adds in property tax each month
Work backward from your budget H to the highest price whose loan, tax, insurance and HOA fit inside it
5. Maximum home price: $339,895.38
Find your monthly income before tax: yearly income ÷ 12
Housing limit: up to 35% of your monthly income can go to housing
Total debt limit: 36% of your monthly income, minus what your other debts already take
You have to stay under both limits, so the lower one sets your housing budget H (here, the total debt limit)
Find a: how much each $1 you borrow adds to your monthly payment, including any PMI
Find b: how much each $1 of home price adds in property tax each month
Work backward from your budget H to the highest price whose loan, tax, insurance and HOA fit inside it
6. Maximum home price: $448,140.62
Find your monthly income before tax: yearly income ÷ 12
Housing limit: up to 26% of your monthly income can go to housing
Total debt limit: 32% of your monthly income, minus what your other debts already take
You have to stay under both limits, so the lower one sets your housing budget H (here, the housing limit)
Find a: how much each $1 you borrow adds to your monthly payment, including any PMI
Find b: how much each $1 of home price adds in property tax each month
Work backward from your budget H to the highest price whose loan, tax, insurance and HOA fit inside it
7. Maximum home price: $470,148.94
Find your monthly income before tax: yearly income ÷ 12
Housing limit: up to 36% of your monthly income can go to housing
Total debt limit: 38% of your monthly income, minus what your other debts already take
You have to stay under both limits, so the lower one sets your housing budget H (here, the total debt limit)
Find a: how much each $1 you borrow adds to your monthly payment, including any PMI
Find b: how much each $1 of home price adds in property tax each month
Work backward from your budget H to the highest price whose loan, tax, insurance and HOA fit inside it
8. Maximum home price: $369,424.48
Find your monthly income before tax: yearly income ÷ 12
Housing limit: up to 28% of your monthly income can go to housing
Total debt limit: 45% of your monthly income, minus what your other debts already take
You have to stay under both limits, so the lower one sets your housing budget H (here, the housing limit)
Find a: how much each $1 you borrow adds to your monthly payment, including any PMI
Find b: how much each $1 of home price adds in property tax each month
Work backward from your budget H to the highest price whose loan, tax, insurance and HOA fit inside it
9. Maximum home price: $319,883.88
Find your monthly income before tax: yearly income ÷ 12
Housing limit: up to 30% of your monthly income can go to housing
Total debt limit: 38% of your monthly income, minus what your other debts already take
You have to stay under both limits, so the lower one sets your housing budget H (here, the housing limit)
Find a: how much each $1 you borrow adds to your monthly payment, including any PMI
Find b: how much each $1 of home price adds in property tax each month
Work backward from your budget H to the highest price whose loan, tax, insurance and HOA fit inside it
10. Maximum home price: $362,725.79
Find your monthly income before tax: yearly income ÷ 12
Housing limit: up to 20% of your monthly income can go to housing
Total debt limit: 35% of your monthly income, minus what your other debts already take
You have to stay under both limits, so the lower one sets your housing budget H (here, the housing limit)
Find a: how much each $1 you borrow adds to your monthly payment, including any PMI
Find b: how much each $1 of home price adds in property tax each month
Work backward from your budget H to the highest price whose loan, tax, insurance and HOA fit inside it