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HELOC 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 value: $400,000
    • Mortgage balance: $275,000
    • Maximum combined loan-to-value: 90%
    • Amount drawn: $38,000
    • Interest rate: 7% per year
    • Draw period: 5 years
    • Repayment period: 10 years
    • What if the rate rises by: 2 percentage points

    Find: Monthly payment in the repayment period

  2. Problem 2.
    • Home value: $400,000
    • Mortgage balance: $260,000
    • Maximum combined loan-to-value: 100%
    • Amount drawn: $40,000
    • Interest rate: 8.5% per year
    • Draw period: 5 years
    • Repayment period: 10 years
    • What if the rate rises by: 2 percentage points

    Find: Monthly payment in the repayment period

  3. Problem 3.
    • Home value: $450,000
    • Mortgage balance: $350,000
    • Maximum combined loan-to-value: 92%
    • Amount drawn: $60,000
    • Interest rate: 10% per year
    • Draw period: 10 years
    • Repayment period: 10 years
    • What if the rate rises by: 2 percentage points

    Find: Monthly payment in the repayment period

  4. Problem 4.
    • Home value: $600,000
    • Mortgage balance: $200,000
    • Maximum combined loan-to-value: 100%
    • Amount drawn: $32,500
    • Interest rate: 6.5% per year
    • Draw period: 5 years
    • Repayment period: 20 years
    • What if the rate rises by: 2 percentage points

    Find: Monthly payment in the repayment period

  5. Problem 5.
    • Home value: $450,000
    • Mortgage balance: $200,000
    • Maximum combined loan-to-value: 60%
    • Amount drawn: $50,000
    • Interest rate: 8% per year
    • Draw period: 10 years
    • Repayment period: 10 years
    • What if the rate rises by: 2 percentage points

    Find: Monthly payment in the repayment period

  6. Problem 6.
    • Home value: $400,000
    • Mortgage balance: $220,000
    • Maximum combined loan-to-value: 74%
    • Amount drawn: $45,000
    • Interest rate: 9.5% per year
    • Draw period: 5 years
    • Repayment period: 15 years
    • What if the rate rises by: 2 percentage points

    Find: Monthly payment in the repayment period

  7. Problem 7.
    • Home value: $525,000
    • Mortgage balance: $195,000
    • Maximum combined loan-to-value: 78%
    • Amount drawn: $32,500
    • Interest rate: 11% per year
    • Draw period: 10 years
    • Repayment period: 10 years
    • What if the rate rises by: 2 percentage points

    Find: Monthly payment in the repayment period

  8. Problem 8.
    • Home value: $440,000
    • Mortgage balance: $220,000
    • Maximum combined loan-to-value: 90%
    • Amount drawn: $47,500
    • Interest rate: 10% per year
    • Draw period: 5 years
    • Repayment period: 10 years
    • What if the rate rises by: 2 percentage points

    Find: Monthly payment in the repayment period

  9. Problem 9.
    • Home value: $550,000
    • Mortgage balance: $250,000
    • Maximum combined loan-to-value: 88%
    • Amount drawn: $48,000
    • Interest rate: 8% per year
    • Draw period: 5 years
    • Repayment period: 20 years
    • What if the rate rises by: 2 percentage points

    Find: Monthly payment in the repayment period

  10. Problem 10.
    • Home value: $500,000
    • Mortgage balance: $300,000
    • Maximum combined loan-to-value: 80%
    • Amount drawn: $60,000
    • Interest rate: 8% per year
    • Draw period: 10 years
    • Repayment period: 15 years
    • What if the rate rises by: 2 percentage points

    Find: Monthly payment in the repayment period

Answer key: HELOC worksheet

  1. 1. Monthly payment in the repayment period: $441.21

    1. Find your credit limit. All loans on the home can reach 90% of its value, so subtract what you already owe

      $400,000.00×90%−$275,000.00=$85,000.00
    2. Find the draw-period payment. You pay only one month's interest: the balance times the yearly rate, divided by 12

      $38,000.00×7%12=$221.67
    3. Find the repayment payment. A standard formula gives the one amount that clears the balance in 120 months, using the monthly rate (the yearly rate divided by 12)

      $38,000.00×0.005833331−(1+0.00583333)−120=$441.21
    4. Find the payment jump: how much more you pay each month once repayment starts

      $441.21−$221.67=$219.55
    5. Add up the interest: the interest-only payments, plus the repayment payments minus the balance

      $221.67×60+$441.21×120−$38,000.00=$28,245.47
    6. Try the what-if. At 9% the interest-only payment becomes this

      $38,000.00×9%12=$285.00
    7. At 9% the repayment payment becomes this

      $38,000.00×0.00751−(1+0.0075)−120=$481.37
  2. 2. Monthly payment in the repayment period: $495.94

    1. Find your credit limit. All loans on the home can reach 100% of its value, so subtract what you already owe

      $400,000.00×100%−$260,000.00=$140,000.00
    2. Find the draw-period payment. You pay only one month's interest: the balance times the yearly rate, divided by 12

      $40,000.00×8.5%12=$283.33
    3. Find the repayment payment. A standard formula gives the one amount that clears the balance in 120 months, using the monthly rate (the yearly rate divided by 12)

      $40,000.00×0.007083331−(1+0.00708333)−120=$495.94
    4. Find the payment jump: how much more you pay each month once repayment starts

      $495.94−$283.33=$212.61
    5. Add up the interest: the interest-only payments, plus the repayment payments minus the balance

      $283.33×60+$495.94×120−$40,000.00=$36,513.13
    6. Try the what-if. At 10.5% the interest-only payment becomes this

      $40,000.00×10.5%12=$350.00
    7. At 10.5% the repayment payment becomes this

      $40,000.00×0.008751−(1+0.00875)−120=$539.74
  3. 3. Monthly payment in the repayment period: $792.90

    1. Find your credit limit. All loans on the home can reach 92% of its value, so subtract what you already owe

      $450,000.00×92%−$350,000.00=$64,000.00
    2. Find the draw-period payment. You pay only one month's interest: the balance times the yearly rate, divided by 12

      $60,000.00×10%12=$500.00
    3. Find the repayment payment. A standard formula gives the one amount that clears the balance in 120 months, using the monthly rate (the yearly rate divided by 12)

      $60,000.00×0.008333331−(1+0.00833333)−120=$792.90
    4. Find the payment jump: how much more you pay each month once repayment starts

      $792.90−$500.00=$292.90
    5. Add up the interest: the interest-only payments, plus the repayment payments minus the balance

      $500.00×120+$792.90×120−$60,000.00=$95,148.53
    6. Try the what-if. At 12% the interest-only payment becomes this

      $60,000.00×12%12=$600.00
    7. At 12% the repayment payment becomes this

      $60,000.00×0.011−(1+0.01)−120=$860.83
  4. 4. Monthly payment in the repayment period: $242.31

    1. Find your credit limit. All loans on the home can reach 100% of its value, so subtract what you already owe

      $600,000.00×100%−$200,000.00=$400,000.00
    2. Find the draw-period payment. You pay only one month's interest: the balance times the yearly rate, divided by 12

      $32,500.00×6.5%12=$176.04
    3. Find the repayment payment. A standard formula gives the one amount that clears the balance in 240 months, using the monthly rate (the yearly rate divided by 12)

      $32,500.00×0.005416671−(1+0.00541667)−240=$242.31
    4. Find the payment jump: how much more you pay each month once repayment starts

      $242.31−$176.04=$66.27
    5. Add up the interest: the interest-only payments, plus the repayment payments minus the balance

      $176.04×60+$242.31×240−$32,500.00=$36,217.20
    6. Try the what-if. At 8.5% the interest-only payment becomes this

      $32,500.00×8.5%12=$230.21
    7. At 8.5% the repayment payment becomes this

      $32,500.00×0.007083331−(1+0.00708333)−240=$282.04
  5. 5. Monthly payment in the repayment period: $606.64

    1. Find your credit limit. All loans on the home can reach 60% of its value, so subtract what you already owe

      $450,000.00×60%−$200,000.00=$70,000.00
    2. Find the draw-period payment. You pay only one month's interest: the balance times the yearly rate, divided by 12

      $50,000.00×8%12=$333.33
    3. Find the repayment payment. A standard formula gives the one amount that clears the balance in 120 months, using the monthly rate (the yearly rate divided by 12)

      $50,000.00×0.006666671−(1+0.00666667)−120=$606.64
    4. Find the payment jump: how much more you pay each month once repayment starts

      $606.64−$333.33=$273.30
    5. Add up the interest: the interest-only payments, plus the repayment payments minus the balance

      $333.33×120+$606.64×120−$50,000.00=$62,796.56
    6. Try the what-if. At 10% the interest-only payment becomes this

      $50,000.00×10%12=$416.67
    7. At 10% the repayment payment becomes this

      $50,000.00×0.008333331−(1+0.00833333)−120=$660.75
  6. 6. Monthly payment in the repayment period: $469.90

    1. Find your credit limit. All loans on the home can reach 74% of its value, so subtract what you already owe

      $400,000.00×74%−$220,000.00=$76,000.00
    2. Find the draw-period payment. You pay only one month's interest: the balance times the yearly rate, divided by 12

      $45,000.00×9.5%12=$356.25
    3. Find the repayment payment. A standard formula gives the one amount that clears the balance in 180 months, using the monthly rate (the yearly rate divided by 12)

      $45,000.00×0.007916671−(1+0.00791667)−180=$469.90
    4. Find the payment jump: how much more you pay each month once repayment starts

      $469.90−$356.25=$113.65
    5. Add up the interest: the interest-only payments, plus the repayment payments minus the balance

      $356.25×60+$469.90×180−$45,000.00=$60,957.20
    6. Try the what-if. At 11.5% the interest-only payment becomes this

      $45,000.00×11.5%12=$431.25
    7. At 11.5% the repayment payment becomes this

      $45,000.00×0.009583331−(1+0.00958333)−180=$525.69
  7. 7. Monthly payment in the repayment period: $447.69

    1. Find your credit limit. All loans on the home can reach 78% of its value, so subtract what you already owe

      $525,000.00×78%−$195,000.00=$214,500.00
    2. Find the draw-period payment. You pay only one month's interest: the balance times the yearly rate, divided by 12

      $32,500.00×11%12=$297.92
    3. Find the repayment payment. A standard formula gives the one amount that clears the balance in 120 months, using the monthly rate (the yearly rate divided by 12)

      $32,500.00×0.009166671−(1+0.00916667)−120=$447.69
    4. Find the payment jump: how much more you pay each month once repayment starts

      $447.69−$297.92=$149.77
    5. Add up the interest: the interest-only payments, plus the repayment payments minus the balance

      $297.92×120+$447.69×120−$32,500.00=$56,972.50
    6. Try the what-if. At 13% the interest-only payment becomes this

      $32,500.00×13%12=$352.08
    7. At 13% the repayment payment becomes this

      $32,500.00×0.010833331−(1+0.01083333)−120=$485.26
  8. 8. Monthly payment in the repayment period: $627.72

    1. Find your credit limit. All loans on the home can reach 90% of its value, so subtract what you already owe

      $440,000.00×90%−$220,000.00=$176,000.00
    2. Find the draw-period payment. You pay only one month's interest: the balance times the yearly rate, divided by 12

      $47,500.00×10%12=$395.83
    3. Find the repayment payment. A standard formula gives the one amount that clears the balance in 120 months, using the monthly rate (the yearly rate divided by 12)

      $47,500.00×0.008333331−(1+0.00833333)−120=$627.72
    4. Find the payment jump: how much more you pay each month once repayment starts

      $627.72−$395.83=$231.88
    5. Add up the interest: the interest-only payments, plus the repayment payments minus the balance

      $395.83×60+$627.72×120−$47,500.00=$51,575.92
    6. Try the what-if. At 12% the interest-only payment becomes this

      $47,500.00×12%12=$475.00
    7. At 12% the repayment payment becomes this

      $47,500.00×0.011−(1+0.01)−120=$681.49
  9. 9. Monthly payment in the repayment period: $401.49

    1. Find your credit limit. All loans on the home can reach 88% of its value, so subtract what you already owe

      $550,000.00×88%−$250,000.00=$234,000.00
    2. Find the draw-period payment. You pay only one month's interest: the balance times the yearly rate, divided by 12

      $48,000.00×8%12=$320.00
    3. Find the repayment payment. A standard formula gives the one amount that clears the balance in 240 months, using the monthly rate (the yearly rate divided by 12)

      $48,000.00×0.006666671−(1+0.00666667)−240=$401.49
    4. Find the payment jump: how much more you pay each month once repayment starts

      $401.49−$320.00=$81.49
    5. Add up the interest: the interest-only payments, plus the repayment payments minus the balance

      $320.00×60+$401.49×240−$48,000.00=$67,557.90
    6. Try the what-if. At 10% the interest-only payment becomes this

      $48,000.00×10%12=$400.00
    7. At 10% the repayment payment becomes this

      $48,000.00×0.008333331−(1+0.00833333)−240=$463.21
  10. 10. Monthly payment in the repayment period: $573.39

    1. Find your credit limit. All loans on the home can reach 80% of its value, so subtract what you already owe

      $500,000.00×80%−$300,000.00=$100,000.00
    2. Find the draw-period payment. You pay only one month's interest: the balance times the yearly rate, divided by 12

      $60,000.00×8%12=$400.00
    3. Find the repayment payment. A standard formula gives the one amount that clears the balance in 180 months, using the monthly rate (the yearly rate divided by 12)

      $60,000.00×0.006666671−(1+0.00666667)−180=$573.39
    4. Find the payment jump: how much more you pay each month once repayment starts

      $573.39−$400.00=$173.39
    5. Add up the interest: the interest-only payments, plus the repayment payments minus the balance

      $400.00×120+$573.39×180−$60,000.00=$91,210.43
    6. Try the what-if. At 10% the interest-only payment becomes this

      $60,000.00×10%12=$500.00
    7. At 10% the repayment payment becomes this

      $60,000.00×0.008333331−(1+0.00833333)−180=$644.76