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Debt Consolidation 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.
    • Debt 1 balance: $6,000
    • Debt 1 interest rate (APR): 27.5%
    • Debt 1 monthly payment: $240
    • Debt 2 balance: $2,400
    • Debt 2 interest rate (APR): 18%
    • Debt 2 monthly payment: $74
    • Debt 3 balance: $5,200
    • Debt 3 interest rate (APR): 15%
    • Debt 3 monthly payment: $180
    • Consolidation loan rate (APR): 10%
    • Consolidation loan term: 3 years
    • Origination fee: 3% of loan

    Find: Total savings from consolidating

  2. Problem 2.
    • Debt 1 balance: $4,000
    • Debt 1 interest rate (APR): 30%
    • Debt 1 monthly payment: $200
    • Debt 2 balance: $4,500
    • Debt 2 interest rate (APR): 18%
    • Debt 2 monthly payment: $120
    • Debt 3 balance: $5,000
    • Debt 3 interest rate (APR): 11.5%
    • Debt 3 monthly payment: $120
    • Consolidation loan rate (APR): 10%
    • Consolidation loan term: 5 years
    • Origination fee: 2% of loan

    Find: Total savings from consolidating

  3. Problem 3.
    • Debt 1 balance: $5,250
    • Debt 1 interest rate (APR): 30%
    • Debt 1 monthly payment: $160
    • Debt 2 balance: $2,800
    • Debt 2 interest rate (APR): 25%
    • Debt 2 monthly payment: $100
    • Debt 3 balance: $4,000
    • Debt 3 interest rate (APR): 10.5%
    • Debt 3 monthly payment: $180
    • Consolidation loan rate (APR): 11%
    • Consolidation loan term: 4 years
    • Origination fee: 2% of loan

    Find: Total savings from consolidating

  4. Problem 4.
    • Debt 1 balance: $5,500
    • Debt 1 interest rate (APR): 28%
    • Debt 1 monthly payment: $165
    • Debt 2 balance: $3,400
    • Debt 2 interest rate (APR): 27%
    • Debt 2 monthly payment: $110
    • Debt 3 balance: $5,000
    • Debt 3 interest rate (APR): 14%
    • Debt 3 monthly payment: $125
    • Consolidation loan rate (APR): 11%
    • Consolidation loan term: 2 years
    • Origination fee: 3% of loan

    Find: Total savings from consolidating

  5. Problem 5.
    • Debt 1 balance: $8,000
    • Debt 1 interest rate (APR): 28%
    • Debt 1 monthly payment: $240
    • Debt 2 balance: $2,600
    • Debt 2 interest rate (APR): 18%
    • Debt 2 monthly payment: $138
    • Debt 3 balance: $4,500
    • Debt 3 interest rate (APR): 11%
    • Debt 3 monthly payment: $180
    • Consolidation loan rate (APR): 15%
    • Consolidation loan term: 4 years
    • Origination fee: 2% of loan

    Find: Total savings from consolidating

  6. Problem 6.
    • Debt 1 balance: $6,000
    • Debt 1 interest rate (APR): 22%
    • Debt 1 monthly payment: $160
    • Debt 2 balance: $2,750
    • Debt 2 interest rate (APR): 24%
    • Debt 2 monthly payment: $140
    • Debt 3 balance: $5,000
    • Debt 3 interest rate (APR): 15%
    • Debt 3 monthly payment: $150
    • Consolidation loan rate (APR): 14%
    • Consolidation loan term: 2 years
    • Origination fee: 4% of loan

    Find: Total savings from consolidating

  7. Problem 7.
    • Debt 1 balance: $6,600
    • Debt 1 interest rate (APR): 22%
    • Debt 1 monthly payment: $190
    • Debt 2 balance: $3,000
    • Debt 2 interest rate (APR): 26%
    • Debt 2 monthly payment: $120
    • Debt 3 balance: $5,500
    • Debt 3 interest rate (APR): 15.5%
    • Debt 3 monthly payment: $155
    • Consolidation loan rate (APR): 9%
    • Consolidation loan term: 3 years
    • Origination fee: 4% of loan

    Find: Total savings from consolidating

  8. Problem 8.
    • Debt 1 balance: $6,500
    • Debt 1 interest rate (APR): 26.5%
    • Debt 1 monthly payment: $175
    • Debt 2 balance: $3,200
    • Debt 2 interest rate (APR): 16%
    • Debt 2 monthly payment: $100
    • Debt 3 balance: $4,800
    • Debt 3 interest rate (APR): 9%
    • Debt 3 monthly payment: $180
    • Consolidation loan rate (APR): 10%
    • Consolidation loan term: 4 years
    • Origination fee: 3% of loan

    Find: Total savings from consolidating

  9. Problem 9.
    • Debt 1 balance: $7,000
    • Debt 1 interest rate (APR): 27.5%
    • Debt 1 monthly payment: $180
    • Debt 2 balance: $4,000
    • Debt 2 interest rate (APR): 23%
    • Debt 2 monthly payment: $100
    • Debt 3 balance: $4,500
    • Debt 3 interest rate (APR): 14%
    • Debt 3 monthly payment: $180
    • Consolidation loan rate (APR): 12%
    • Consolidation loan term: 2 years
    • Origination fee: 4% of loan

    Find: Total savings from consolidating

  10. Problem 10.
    • Debt 1 balance: $6,000
    • Debt 1 interest rate (APR): 22.5%
    • Debt 1 monthly payment: $225
    • Debt 2 balance: $2,500
    • Debt 2 interest rate (APR): 20%
    • Debt 2 monthly payment: $120
    • Debt 3 balance: $4,000
    • Debt 3 interest rate (APR): 9.5%
    • Debt 3 monthly payment: $130
    • Consolidation loan rate (APR): 15%
    • Consolidation loan term: 3 years
    • Origination fee: 3% of loan

    Find: Total savings from consolidating

Answer key: Debt Consolidation worksheet

  1. 1. Total savings from consolidating: $2,530.24

    1. Add up the balances to see the total you need to pay off

      $6,000.00+$2,400.00+$5,200.00=$13,600.00
    2. At its $240.00 payment, debt 1 is paid off in 38 months. Interest is charged at 27.5% ÷ 12 each month, and it adds up to

      Debt 1 interest=$3,012.33
    3. At its $74.00 payment, debt 2 is paid off in 45 months. Interest is charged at 18% ÷ 12 each month, and it adds up to

      Debt 2 interest=$912.66
    4. At its $180.00 payment, debt 3 is paid off in 37 months. Interest is charged at 15% ÷ 12 each month, and it adds up to

      Debt 3 interest=$1,291.86
    5. Add each debt's interest to see what keeping your current debts would cost

      $3,012.33+$912.66+$1,291.86=$5,216.85
    6. The 3% fee comes out of the loan. So borrow a bit more, the balances ÷ (1 − fee), to still cover every balance

      $13,600.001−3%=$14,020.62
    7. Find the new monthly payment. L is the loan and i is the yearly rate ÷ 12. A standard formula finds the equal payment that clears it in 36 months: L × i ÷ (1 − (1 + i)^−n)

      $14,020.62×0.008333331−(1+0.00833333)−36=$452.41
    8. Find the new loan's cost: its interest (all payments minus the loan) plus the fee

      $452.41×36−$14,020.62+$420.62=$2,686.61
    9. Subtract the new loan's cost from the current interest to get your savings

      $5,216.85−$2,686.61=$2,530.24
  2. 2. Total savings from consolidating: $1,128.78

    1. Add up the balances to see the total you need to pay off

      $4,000.00+$4,500.00+$5,000.00=$13,500.00
    2. At its $200.00 payment, debt 1 is paid off in 29 months. Interest is charged at 30% ÷ 12 each month, and it adds up to

      Debt 1 interest=$1,614.37
    3. At its $120.00 payment, debt 2 is paid off in 56 months. Interest is charged at 18% ÷ 12 each month, and it adds up to

      Debt 2 interest=$2,163.13
    4. At its $120.00 payment, debt 3 is paid off in 54 months. Interest is charged at 11.5% ÷ 12 each month, and it adds up to

      Debt 3 interest=$1,412.61
    5. Add each debt's interest to see what keeping your current debts would cost

      $1,614.37+$2,163.13+$1,412.61=$5,190.11
    6. The 2% fee comes out of the loan. So borrow a bit more, the balances ÷ (1 − fee), to still cover every balance

      $13,500.001−2%=$13,775.51
    7. Find the new monthly payment. L is the loan and i is the yearly rate ÷ 12. A standard formula finds the equal payment that clears it in 60 months: L × i ÷ (1 − (1 + i)^−n)

      $13,775.51×0.008333331−(1+0.00833333)−60=$292.69
    8. Find the new loan's cost: its interest (all payments minus the loan) plus the fee

      $292.69×60−$13,775.51+$275.51=$4,061.33
    9. Subtract the new loan's cost from the current interest to get your savings

      $5,190.11−$4,061.33=$1,128.78
  3. 3. Total savings from consolidating: $4,582.64

    1. Add up the balances to see the total you need to pay off

      $5,250.00+$2,800.00+$4,000.00=$12,050.00
    2. At its $160.00 payment, debt 1 is paid off in 70 months. Interest is charged at 30% ÷ 12 each month, and it adds up to

      Debt 1 interest=$5,873.08
    3. At its $100.00 payment, debt 2 is paid off in 43 months. Interest is charged at 25% ÷ 12 each month, and it adds up to

      Debt 2 interest=$1,446.13
    4. At its $180.00 payment, debt 3 is paid off in 25 months. Interest is charged at 10.5% ÷ 12 each month, and it adds up to

      Debt 3 interest=$467.57
    5. Add each debt's interest to see what keeping your current debts would cost

      $5,873.08+$1,446.13+$467.57=$7,786.78
    6. The 2% fee comes out of the loan. So borrow a bit more, the balances ÷ (1 − fee), to still cover every balance

      $12,050.001−2%=$12,295.92
    7. Find the new monthly payment. L is the loan and i is the yearly rate ÷ 12. A standard formula finds the equal payment that clears it in 48 months: L × i ÷ (1 − (1 + i)^−n)

      $12,295.92×0.009166671−(1+0.00916667)−48=$317.79
    8. Find the new loan's cost: its interest (all payments minus the loan) plus the fee

      $317.79×48−$12,295.92+$245.92=$3,204.13
    9. Subtract the new loan's cost from the current interest to get your savings

      $7,786.78−$3,204.13=$4,582.64
  4. 4. Total savings from consolidating: $7,383.09

    1. Add up the balances to see the total you need to pay off

      $5,500.00+$3,400.00+$5,000.00=$13,900.00
    2. At its $165.00 payment, debt 1 is paid off in 66 months. Interest is charged at 28% ÷ 12 each month, and it adds up to

      Debt 1 interest=$5,259.90
    3. At its $110.00 payment, debt 2 is paid off in 54 months. Interest is charged at 27% ÷ 12 each month, and it adds up to

      Debt 2 interest=$2,478.02
    4. At its $125.00 payment, debt 3 is paid off in 55 months. Interest is charged at 14% ÷ 12 each month, and it adds up to

      Debt 3 interest=$1,774.42
    5. Add each debt's interest to see what keeping your current debts would cost

      $5,259.90+$2,478.02+$1,774.42=$9,512.34
    6. The 3% fee comes out of the loan. So borrow a bit more, the balances ÷ (1 − fee), to still cover every balance

      $13,900.001−3%=$14,329.90
    7. Find the new monthly payment. L is the loan and i is the yearly rate ÷ 12. A standard formula finds the equal payment that clears it in 24 months: L × i ÷ (1 − (1 + i)^−n)

      $14,329.90×0.009166671−(1+0.00916667)−24=$667.89
    8. Find the new loan's cost: its interest (all payments minus the loan) plus the fee

      $667.89×24−$14,329.90+$429.90=$2,129.25
    9. Subtract the new loan's cost from the current interest to get your savings

      $9,512.34−$2,129.25=$7,383.09
  5. 5. Total savings from consolidating: $3,280.69

    1. Add up the balances to see the total you need to pay off

      $8,000.00+$2,600.00+$4,500.00=$15,100.00
    2. At its $240.00 payment, debt 1 is paid off in 66 months. Interest is charged at 28% ÷ 12 each month, and it adds up to

      Debt 1 interest=$7,650.77
    3. At its $138.00 payment, debt 2 is paid off in 23 months. Interest is charged at 18% ÷ 12 each month, and it adds up to

      Debt 2 interest=$478.71
    4. At its $180.00 payment, debt 3 is paid off in 29 months. Interest is charged at 11% ÷ 12 each month, and it adds up to

      Debt 3 interest=$634.61
    5. Add each debt's interest to see what keeping your current debts would cost

      $7,650.77+$478.71+$634.61=$8,764.08
    6. The 2% fee comes out of the loan. So borrow a bit more, the balances ÷ (1 − fee), to still cover every balance

      $15,100.001−2%=$15,408.16
    7. Find the new monthly payment. L is the loan and i is the yearly rate ÷ 12. A standard formula finds the equal payment that clears it in 48 months: L × i ÷ (1 − (1 + i)^−n)

      $15,408.16×0.01251−(1+0.0125)−48=$428.82
    8. Find the new loan's cost: its interest (all payments minus the loan) plus the fee

      $428.82×48−$15,408.16+$308.16=$5,483.39
    9. Subtract the new loan's cost from the current interest to get your savings

      $8,764.08−$5,483.39=$3,280.69
  6. 6. Total savings from consolidating: $3,776.00

    1. Add up the balances to see the total you need to pay off

      $6,000.00+$2,750.00+$5,000.00=$13,750.00
    2. At its $160.00 payment, debt 1 is paid off in 65 months. Interest is charged at 22% ÷ 12 each month, and it adds up to

      Debt 1 interest=$4,243.94
    3. At its $140.00 payment, debt 2 is paid off in 26 months. Interest is charged at 24% ÷ 12 each month, and it adds up to

      Debt 2 interest=$777.97
    4. At its $150.00 payment, debt 3 is paid off in 44 months. Interest is charged at 15% ÷ 12 each month, and it adds up to

      Debt 3 interest=$1,508.52
    5. Add each debt's interest to see what keeping your current debts would cost

      $4,243.94+$777.97+$1,508.52=$6,530.43
    6. The 4% fee comes out of the loan. So borrow a bit more, the balances ÷ (1 − fee), to still cover every balance

      $13,750.001−4%=$14,322.92
    7. Find the new monthly payment. L is the loan and i is the yearly rate ÷ 12. A standard formula finds the equal payment that clears it in 24 months: L × i ÷ (1 − (1 + i)^−n)

      $14,322.92×0.011666671−(1+0.01166667)−24=$687.68
    8. Find the new loan's cost: its interest (all payments minus the loan) plus the fee

      $687.68×24−$14,322.92+$572.92=$2,754.43
    9. Subtract the new loan's cost from the current interest to get your savings

      $6,530.43−$2,754.43=$3,776.00
  7. 7. Total savings from consolidating: $4,359.84

    1. Add up the balances to see the total you need to pay off

      $6,600.00+$3,000.00+$5,500.00=$15,100.00
    2. At its $190.00 payment, debt 1 is paid off in 56 months. Interest is charged at 22% ÷ 12 each month, and it adds up to

      Debt 1 interest=$3,993.76
    3. At its $120.00 payment, debt 2 is paid off in 37 months. Interest is charged at 26% ÷ 12 each month, and it adds up to

      Debt 2 interest=$1,367.83
    4. At its $155.00 payment, debt 3 is paid off in 48 months. Interest is charged at 15.5% ÷ 12 each month, and it adds up to

      Debt 3 interest=$1,904.84
    5. Add each debt's interest to see what keeping your current debts would cost

      $3,993.76+$1,367.83+$1,904.84=$7,266.43
    6. The 4% fee comes out of the loan. So borrow a bit more, the balances ÷ (1 − fee), to still cover every balance

      $15,100.001−4%=$15,729.17
    7. Find the new monthly payment. L is the loan and i is the yearly rate ÷ 12. A standard formula finds the equal payment that clears it in 36 months: L × i ÷ (1 − (1 + i)^−n)

      $15,729.17×0.00751−(1+0.0075)−36=$500.18
    8. Find the new loan's cost: its interest (all payments minus the loan) plus the fee

      $500.18×36−$15,729.17+$629.17=$2,906.60
    9. Subtract the new loan's cost from the current interest to get your savings

      $7,266.43−$2,906.60=$4,359.84
  8. 8. Total savings from consolidating: $5,126.73

    1. Add up the balances to see the total you need to pay off

      $6,500.00+$3,200.00+$4,800.00=$14,500.00
    2. At its $175.00 payment, debt 1 is paid off in 79 months. Interest is charged at 26.5% ÷ 12 each month, and it adds up to

      Debt 1 interest=$7,249.54
    3. At its $100.00 payment, debt 2 is paid off in 42 months. Interest is charged at 16% ÷ 12 each month, and it adds up to

      Debt 2 interest=$999.91
    4. At its $180.00 payment, debt 3 is paid off in 30 months. Interest is charged at 9% ÷ 12 each month, and it adds up to

      Debt 3 interest=$575.58
    5. Add each debt's interest to see what keeping your current debts would cost

      $7,249.54+$999.91+$575.58=$8,825.04
    6. The 3% fee comes out of the loan. So borrow a bit more, the balances ÷ (1 − fee), to still cover every balance

      $14,500.001−3%=$14,948.45
    7. Find the new monthly payment. L is the loan and i is the yearly rate ÷ 12. A standard formula finds the equal payment that clears it in 48 months: L × i ÷ (1 − (1 + i)^−n)

      $14,948.45×0.008333331−(1+0.00833333)−48=$379.13
    8. Find the new loan's cost: its interest (all payments minus the loan) plus the fee

      $379.13×48−$14,948.45+$448.45=$3,698.31
    9. Subtract the new loan's cost from the current interest to get your savings

      $8,825.04−$3,698.31=$5,126.73
  9. 9. Total savings from consolidating: $12,398.79

    1. Add up the balances to see the total you need to pay off

      $7,000.00+$4,000.00+$4,500.00=$15,500.00
    2. At its $180.00 payment, debt 1 is paid off in 98 months. Interest is charged at 27.5% ÷ 12 each month, and it adds up to

      Debt 1 interest=$10,622.64
    3. At its $100.00 payment, debt 2 is paid off in 77 months. Interest is charged at 23% ÷ 12 each month, and it adds up to

      Debt 2 interest=$3,665.55
    4. At its $180.00 payment, debt 3 is paid off in 30 months. Interest is charged at 14% ÷ 12 each month, and it adds up to

      Debt 3 interest=$851.58
    5. Add each debt's interest to see what keeping your current debts would cost

      $10,622.64+$3,665.55+$851.58=$15,139.76
    6. The 4% fee comes out of the loan. So borrow a bit more, the balances ÷ (1 − fee), to still cover every balance

      $15,500.001−4%=$16,145.83
    7. Find the new monthly payment. L is the loan and i is the yearly rate ÷ 12. A standard formula finds the equal payment that clears it in 24 months: L × i ÷ (1 − (1 + i)^−n)

      $16,145.83×0.011−(1+0.01)−24=$760.04
    8. Find the new loan's cost: its interest (all payments minus the loan) plus the fee

      $760.04×24−$16,145.83+$645.83=$2,740.97
    9. Subtract the new loan's cost from the current interest to get your savings

      $15,139.76−$2,740.97=$12,398.79
  10. 10. Total savings from consolidating: $13.24

    1. Add up the balances to see the total you need to pay off

      $6,000.00+$2,500.00+$4,000.00=$12,500.00
    2. At its $225.00 payment, debt 1 is paid off in 38 months. Interest is charged at 22.5% ÷ 12 each month, and it adds up to

      Debt 1 interest=$2,395.95
    3. At its $120.00 payment, debt 2 is paid off in 26 months. Interest is charged at 20% ÷ 12 each month, and it adds up to

      Debt 2 interest=$596.61
    4. At its $130.00 payment, debt 3 is paid off in 36 months. Interest is charged at 9.5% ÷ 12 each month, and it adds up to

      Debt 3 interest=$602.53
    5. Add each debt's interest to see what keeping your current debts would cost

      $2,395.95+$596.61+$602.53=$3,595.10
    6. The 3% fee comes out of the loan. So borrow a bit more, the balances ÷ (1 − fee), to still cover every balance

      $12,500.001−3%=$12,886.60
    7. Find the new monthly payment. L is the loan and i is the yearly rate ÷ 12. A standard formula finds the equal payment that clears it in 36 months: L × i ÷ (1 − (1 + i)^−n)

      $12,886.60×0.01251−(1+0.0125)−36=$446.72
    8. Find the new loan's cost: its interest (all payments minus the loan) plus the fee

      $446.72×36−$12,886.60+$386.60=$3,581.85
    9. Subtract the new loan's cost from the current interest to get your savings

      $3,595.10−$3,581.85=$13.24