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USDA Loan worksheet

Grades 11–12 · CCSS HSA.SSE.B.4

Solve each problem and show your work. Round answers to 2 decimal places where needed.

  1. Problem 1.
    • Home price: $250,000
    • Down payment: $0
    • Upfront guarantee fee: Paid at closing
    • Interest rate: 6.5%
    • Loan term: 30 years
    • Property tax per year: $2,000
    • Home insurance per year: $950

    Find: Total monthly payment, first year

  2. Problem 2.
    • Home price: $230,000
    • Down payment: $0
    • Upfront guarantee fee: Added to the loan
    • Interest rate: 7%
    • Loan term: 30 years
    • Property tax per year: $2,800
    • Home insurance per year: $1,400

    Find: Total monthly payment, first year

  3. Problem 3.
    • Home price: $220,000
    • Down payment: $0
    • Upfront guarantee fee: Added to the loan
    • Interest rate: 5.5%
    • Loan term: 30 years
    • Property tax per year: $2,000
    • Home insurance per year: $1,400

    Find: Total monthly payment, first year

  4. Problem 4.
    • Home price: $350,000
    • Down payment: $0
    • Upfront guarantee fee: Added to the loan
    • Interest rate: 9.25%
    • Loan term: 30 years
    • Property tax per year: $3,000
    • Home insurance per year: $1,300

    Find: Total monthly payment, first year

  5. Problem 5.
    • Home price: $240,000
    • Down payment: $0
    • Upfront guarantee fee: Paid at closing
    • Interest rate: 5%
    • Loan term: 30 years
    • Property tax per year: $2,250
    • Home insurance per year: $900

    Find: Total monthly payment, first year

  6. Problem 6.
    • Home price: $240,000
    • Down payment: $0
    • Upfront guarantee fee: Added to the loan
    • Interest rate: 3.8%
    • Loan term: 30 years
    • Property tax per year: $2,200
    • Home insurance per year: $1,100

    Find: Total monthly payment, first year

  7. Problem 7.
    • Home price: $215,000
    • Down payment: $0
    • Upfront guarantee fee: Paid at closing
    • Interest rate: 7.5%
    • Loan term: 30 years
    • Property tax per year: $2,750
    • Home insurance per year: $775

    Find: Total monthly payment, first year

  8. Problem 8.
    • Home price: $250,000
    • Down payment: $0
    • Upfront guarantee fee: Paid at closing
    • Interest rate: 8%
    • Loan term: 30 years
    • Property tax per year: $1,800
    • Home insurance per year: $1,175

    Find: Total monthly payment, first year

  9. Problem 9.
    • Home price: $240,000
    • Down payment: $0
    • Upfront guarantee fee: Added to the loan
    • Interest rate: 7.5%
    • Loan term: 30 years
    • Property tax per year: $2,200
    • Home insurance per year: $1,250

    Find: Total monthly payment, first year

  10. Problem 10.
    • Home price: $200,000
    • Down payment: $0
    • Upfront guarantee fee: Paid at closing
    • Interest rate: 7.25%
    • Loan term: 30 years
    • Property tax per year: $2,500
    • Home insurance per year: $900

    Find: Total monthly payment, first year

Answer key: USDA Loan worksheet

  1. 1. Total monthly payment, first year: $1,898.55

    1. Find the base loan: the price minus your down payment

      $250,000.00−$0.00=$250,000.00
    2. You pay the 1% upfront fee at closing, so the loan stays the same

      $250,000.00×1%=$2,500.00
    3. Find the loan payment. A standard formula finds the one amount that clears the loan in 360 months, where the monthly rate is the yearly rate ÷ 12

      $250,000.00×0.005416671−(1+0.00541667)−360=$1,580.17
    4. Find the first year's annual fee: 0.35% of the average balance that year, split over 12 months

      $248,734.26×0.35%12=$72.55
    5. Add everything you pay each month: the loan, the annual fee, property tax and insurance

      $1,580.17+$72.55+$166.67+$79.17=$1,898.55
  2. 2. Total monthly payment, first year: $1,963.10

    1. Find the base loan: the price minus your down payment

      $230,000.00−$0.00=$230,000.00
    2. Add the 1% upfront fee to the loan. USDA divides by 0.99, because the fee is charged on the larger total

      $230,000.000.99=$232,323.23
    3. Find the loan payment. A standard formula finds the one amount that clears the loan in 360 months, where the monthly rate is the yearly rate ÷ 12

      $232,323.23×0.005833331−(1+0.00583333)−360=$1,545.65
    4. Find the first year's annual fee: 0.35% of the average balance that year, split over 12 months

      $231,255.21×0.35%12=$67.45
    5. Add everything you pay each month: the loan, the annual fee, property tax and insurance

      $1,545.65+$67.45+$233.33+$116.67=$1,963.10
  3. 3. Total monthly payment, first year: $1,609.51

    1. Find the base loan: the price minus your down payment

      $220,000.00−$0.00=$220,000.00
    2. Add the 1% upfront fee to the loan. USDA divides by 0.99, because the fee is charged on the larger total

      $220,000.000.99=$222,222.22
    3. Find the loan payment. A standard formula finds the one amount that clears the loan in 360 months, where the monthly rate is the yearly rate ÷ 12

      $222,222.22×0.004583331−(1+0.00458333)−360=$1,261.75
    4. Find the first year's annual fee: 0.35% of the average balance that year, split over 12 months

      $220,863.78×0.35%12=$64.42
    5. Add everything you pay each month: the loan, the annual fee, property tax and insurance

      $1,261.75+$64.42+$166.67+$116.67=$1,609.51
  4. 4. Total monthly payment, first year: $3,369.59

    1. Find the base loan: the price minus your down payment

      $350,000.00−$0.00=$350,000.00
    2. Add the 1% upfront fee to the loan. USDA divides by 0.99, because the fee is charged on the larger total

      $350,000.000.99=$353,535.35
    3. Find the loan payment. A standard formula finds the one amount that clears the loan in 360 months, where the monthly rate is the yearly rate ÷ 12

      $353,535.35×0.007708331−(1+0.00770833)−360=$2,908.45
    4. Find the first year's annual fee: 0.35% of the average balance that year, split over 12 months

      $352,500.96×0.35%12=$102.81
    5. Add everything you pay each month: the loan, the annual fee, property tax and insurance

      $2,908.45+$102.81+$250.00+$108.33=$3,369.59
  5. 5. Total monthly payment, first year: $1,620.40

    1. Find the base loan: the price minus your down payment

      $240,000.00−$0.00=$240,000.00
    2. You pay the 1% upfront fee at closing, so the loan stays the same

      $240,000.00×1%=$2,400.00
    3. Find the loan payment. A standard formula finds the one amount that clears the loan in 360 months, where the monthly rate is the yearly rate ÷ 12

      $240,000.00×0.004166671−(1+0.00416667)−360=$1,288.37
    4. Find the first year's annual fee: 0.35% of the average balance that year, split over 12 months

      $238,391.72×0.35%12=$69.53
    5. Add everything you pay each month: the loan, the annual fee, property tax and insurance

      $1,288.37+$69.53+$187.50+$75.00=$1,620.40
  6. 6. Total monthly payment, first year: $1,474.71

    1. Find the base loan: the price minus your down payment

      $240,000.00−$0.00=$240,000.00
    2. Add the 1% upfront fee to the loan. USDA divides by 0.99, because the fee is charged on the larger total

      $240,000.000.99=$242,424.24
    3. Find the loan payment. A standard formula finds the one amount that clears the loan in 360 months, where the monthly rate is the yearly rate ÷ 12

      $242,424.24×0.003166671−(1+0.00316667)−360=$1,129.59
    4. Find the first year's annual fee: 0.35% of the average balance that year, split over 12 months

      $240,412.54×0.35%12=$70.12
    5. Add everything you pay each month: the loan, the annual fee, property tax and insurance

      $1,129.59+$70.12+$183.33+$91.67=$1,474.71
  7. 7. Total monthly payment, first year: $1,859.51

    1. Find the base loan: the price minus your down payment

      $215,000.00−$0.00=$215,000.00
    2. You pay the 1% upfront fee at closing, so the loan stays the same

      $215,000.00×1%=$2,150.00
    3. Find the loan payment. A standard formula finds the one amount that clears the loan in 360 months, where the monthly rate is the yearly rate ÷ 12

      $215,000.00×0.006251−(1+0.00625)−360=$1,503.31
    4. Find the first year's annual fee: 0.35% of the average balance that year, split over 12 months

      $214,103.87×0.35%12=$62.45
    5. Add everything you pay each month: the loan, the annual fee, property tax and insurance

      $1,503.31+$62.45+$229.17+$64.58=$1,859.51
  8. 8. Total monthly payment, first year: $2,154.97

    1. Find the base loan: the price minus your down payment

      $250,000.00−$0.00=$250,000.00
    2. You pay the 1% upfront fee at closing, so the loan stays the same

      $250,000.00×1%=$2,500.00
    3. Find the loan payment. A standard formula finds the one amount that clears the loan in 360 months, where the monthly rate is the yearly rate ÷ 12

      $250,000.00×0.006666671−(1+0.00666667)−360=$1,834.41
    4. Find the first year's annual fee: 0.35% of the average balance that year, split over 12 months

      $249,056.59×0.35%12=$72.64
    5. Add everything you pay each month: the loan, the annual fee, property tax and insurance

      $1,834.41+$72.64+$150.00+$97.92=$2,154.97
  9. 9. Total monthly payment, first year: $2,052.98

    1. Find the base loan: the price minus your down payment

      $240,000.00−$0.00=$240,000.00
    2. Add the 1% upfront fee to the loan. USDA divides by 0.99, because the fee is charged on the larger total

      $240,000.000.99=$242,424.24
    3. Find the loan payment. A standard formula finds the one amount that clears the loan in 360 months, where the monthly rate is the yearly rate ÷ 12

      $242,424.24×0.006251−(1+0.00625)−360=$1,695.07
    4. Find the first year's annual fee: 0.35% of the average balance that year, split over 12 months

      $241,413.81×0.35%12=$70.41
    5. Add everything you pay each month: the loan, the annual fee, property tax and insurance

      $1,695.07+$70.41+$183.33+$104.17=$2,052.98
  10. 10. Total monthly payment, first year: $1,705.76

    1. Find the base loan: the price minus your down payment

      $200,000.00−$0.00=$200,000.00
    2. You pay the 1% upfront fee at closing, so the loan stays the same

      $200,000.00×1%=$2,000.00
    3. Find the loan payment. A standard formula finds the one amount that clears the loan in 360 months, where the monthly rate is the yearly rate ÷ 12

      $200,000.00×0.006041671−(1+0.00604167)−360=$1,364.35
    4. Find the first year's annual fee: 0.35% of the average balance that year, split over 12 months

      $199,124.38×0.35%12=$58.08
    5. Add everything you pay each month: the loan, the annual fee, property tax and insurance

      $1,364.35+$58.08+$208.33+$75.00=$1,705.76