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Interest-Only 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.
    • Loan amount: $350,000
    • Interest rate: 7.5% per year
    • Interest-only period: 12 years
    • Total loan term: 20 years

    Find: Interest-only payment

  2. Problem 2.
    • Loan amount: $300,000
    • Interest rate: 6% per year
    • Interest-only period: 7 years
    • Total loan term: 30 years

    Find: Interest-only payment

  3. Problem 3.
    • Loan amount: $360,000
    • Interest rate: 7% per year
    • Interest-only period: 12 years
    • Total loan term: 20 years

    Find: Interest-only payment

  4. Problem 4.
    • Loan amount: $330,000
    • Interest rate: 6.4% per year
    • Interest-only period: 10 years
    • Total loan term: 30 years

    Find: Interest-only payment

  5. Problem 5.
    • Loan amount: $400,000
    • Interest rate: 9% per year
    • Interest-only period: 12 years
    • Total loan term: 30 years

    Find: Interest-only payment

  6. Problem 6.
    • Loan amount: $450,000
    • Interest rate: 6.5% per year
    • Interest-only period: 9 years
    • Total loan term: 20 years

    Find: Interest-only payment

  7. Problem 7.
    • Loan amount: $380,000
    • Interest rate: 6.5% per year
    • Interest-only period: 7 years
    • Total loan term: 20 years

    Find: Interest-only payment

  8. Problem 8.
    • Loan amount: $380,000
    • Interest rate: 4% per year
    • Interest-only period: 10 years
    • Total loan term: 25 years

    Find: Interest-only payment

  9. Problem 9.
    • Loan amount: $375,000
    • Interest rate: 7.4% per year
    • Interest-only period: 9 years
    • Total loan term: 30 years

    Find: Interest-only payment

  10. Problem 10.
    • Loan amount: $350,000
    • Interest rate: 5.6% per year
    • Interest-only period: 9 years
    • Total loan term: 20 years

    Find: Interest-only payment

Answer key: Interest-Only Loan worksheet

  1. 1. Interest-only payment: $2,187.50

    1. Find the monthly rate: divide the yearly rate by 12, because interest is charged every month

      7.51,200=0.00625
    2. Interest-only payment for the first 144 months: one month's interest on the full loan, so the balance stays the same

      $350,000.00×0.00625=$2,187.50
    3. Payment once you start paying down the loan: a standard formula finds the one monthly amount that pays it off in the remaining 96 months

      $350,000.00×0.006251−(1+0.00625)−96=$4,859.35
    4. Add up all the interest: the interest-only payments plus the interest paid in the repayment years

      $2,187.50×144+$116,498.05=$431,498.05
    5. Subtract the interest on a regular loan that pays down the principal from the start over 240 months. The gap is the extra cost

      $431,498.05−$326,698.28=$104,799.77
  2. 2. Interest-only payment: $1,500.00

    1. Find the monthly rate: divide the yearly rate by 12, because interest is charged every month

      61,200=0.005
    2. Interest-only payment for the first 84 months: one month's interest on the full loan, so the balance stays the same

      $300,000.00×0.005=$1,500.00
    3. Payment once you start paying down the loan: a standard formula finds the one monthly amount that pays it off in the remaining 276 months

      $300,000.00×0.0051−(1+0.005)−276=$2,006.54
    4. Add up all the interest: the interest-only payments plus the interest paid in the repayment years

      $1,500.00×84+$253,805.48=$379,805.48
    5. Subtract the interest on a regular loan that pays down the principal from the start over 360 months. The gap is the extra cost

      $379,805.48−$347,514.57=$32,290.92
  3. 3. Interest-only payment: $2,100.00

    1. Find the monthly rate: divide the yearly rate by 12, because interest is charged every month

      71,200=0.00583333
    2. Interest-only payment for the first 144 months: one month's interest on the full loan, so the balance stays the same

      $360,000.00×0.00583333=$2,100.00
    3. Payment once you start paying down the loan: a standard formula finds the one monthly amount that pays it off in the remaining 96 months

      $360,000.00×0.005833331−(1+0.00583333)−96=$4,908.14
    4. Add up all the interest: the interest-only payments plus the interest paid in the repayment years

      $2,100.00×144+$111,181.26=$413,581.26
    5. Subtract the interest on a regular loan that pays down the principal from the start over 240 months. The gap is the extra cost

      $413,581.26−$309,858.28=$103,722.98
  4. 4. Interest-only payment: $1,760.00

    1. Find the monthly rate: divide the yearly rate by 12, because interest is charged every month

      6.41,200=0.00533333
    2. Interest-only payment for the first 120 months: one month's interest on the full loan, so the balance stays the same

      $330,000.00×0.00533333=$1,760.00
    3. Payment once you start paying down the loan: a standard formula finds the one monthly amount that pays it off in the remaining 240 months

      $330,000.00×0.005333331−(1+0.00533333)−240=$2,441.00
    4. Add up all the interest: the interest-only payments plus the interest paid in the repayment years

      $1,760.00×120+$255,840.46=$467,040.46
    5. Subtract the interest on a regular loan that pays down the principal from the start over 360 months. The gap is the extra cost

      $467,040.46−$413,101.02=$53,939.44
  5. 5. Interest-only payment: $3,000.00

    1. Find the monthly rate: divide the yearly rate by 12, because interest is charged every month

      91,200=0.0075
    2. Interest-only payment for the first 144 months: one month's interest on the full loan, so the balance stays the same

      $400,000.00×0.0075=$3,000.00
    3. Payment once you start paying down the loan: a standard formula finds the one monthly amount that pays it off in the remaining 216 months

      $400,000.00×0.00751−(1+0.0075)−216=$3,745.78
    4. Add up all the interest: the interest-only payments plus the interest paid in the repayment years

      $3,000.00×144+$409,088.34=$841,088.34
    5. Subtract the interest on a regular loan that pays down the principal from the start over 360 months. The gap is the extra cost

      $841,088.34−$758,656.57=$82,431.77
  6. 6. Interest-only payment: $2,437.50

    1. Find the monthly rate: divide the yearly rate by 12, because interest is charged every month

      6.51,200=0.00541667
    2. Interest-only payment for the first 108 months: one month's interest on the full loan, so the balance stays the same

      $450,000.00×0.00541667=$2,437.50
    3. Payment once you start paying down the loan: a standard formula finds the one monthly amount that pays it off in the remaining 132 months

      $450,000.00×0.005416671−(1+0.00541667)−132=$4,780.70
    4. Add up all the interest: the interest-only payments plus the interest paid in the repayment years

      $2,437.50×108+$181,051.77=$444,301.77
    5. Subtract the interest on a regular loan that pays down the principal from the start over 240 months. The gap is the extra cost

      $444,301.77−$355,218.99=$89,082.78
  7. 7. Interest-only payment: $2,058.33

    1. Find the monthly rate: divide the yearly rate by 12, because interest is charged every month

      6.51,200=0.00541667
    2. Interest-only payment for the first 84 months: one month's interest on the full loan, so the balance stays the same

      $380,000.00×0.00541667=$2,058.33
    3. Payment once you start paying down the loan: a standard formula finds the one monthly amount that pays it off in the remaining 156 months

      $380,000.00×0.005416671−(1+0.00541667)−156=$3,614.52
    4. Add up all the interest: the interest-only payments plus the interest paid in the repayment years

      $2,058.33×84+$183,865.54=$356,765.54
    5. Subtract the interest on a regular loan that pays down the principal from the start over 240 months. The gap is the extra cost

      $356,765.54−$299,962.70=$56,802.84
  8. 8. Interest-only payment: $1,266.67

    1. Find the monthly rate: divide the yearly rate by 12, because interest is charged every month

      41,200=0.00333333
    2. Interest-only payment for the first 120 months: one month's interest on the full loan, so the balance stays the same

      $380,000.00×0.00333333=$1,266.67
    3. Payment once you start paying down the loan: a standard formula finds the one monthly amount that pays it off in the remaining 180 months

      $380,000.00×0.003333331−(1+0.00333333)−180=$2,810.81
    4. Add up all the interest: the interest-only payments plus the interest paid in the repayment years

      $1,266.67×120+$125,946.54=$277,946.54
    5. Subtract the interest on a regular loan that pays down the principal from the start over 300 months. The gap is the extra cost

      $277,946.54−$221,734.00=$56,212.54
  9. 9. Interest-only payment: $2,312.50

    1. Find the monthly rate: divide the yearly rate by 12, because interest is charged every month

      7.41,200=0.00616667
    2. Interest-only payment for the first 108 months: one month's interest on the full loan, so the balance stays the same

      $375,000.00×0.00616667=$2,312.50
    3. Payment once you start paying down the loan: a standard formula finds the one monthly amount that pays it off in the remaining 252 months

      $375,000.00×0.006166671−(1+0.00616667)−252=$2,936.18
    4. Add up all the interest: the interest-only payments plus the interest paid in the repayment years

      $2,312.50×108+$364,917.19=$614,667.19
    5. Subtract the interest on a regular loan that pays down the principal from the start over 360 months. The gap is the extra cost

      $614,667.19−$559,712.73=$54,954.46
  10. 10. Interest-only payment: $1,633.33

    1. Find the monthly rate: divide the yearly rate by 12, because interest is charged every month

      5.61,200=0.00466667
    2. Interest-only payment for the first 108 months: one month's interest on the full loan, so the balance stays the same

      $350,000.00×0.00466667=$1,633.33
    3. Payment once you start paying down the loan: a standard formula finds the one monthly amount that pays it off in the remaining 132 months

      $350,000.00×0.004666671−(1+0.00466667)−132=$3,557.49
    4. Add up all the interest: the interest-only payments plus the interest paid in the repayment years

      $1,633.33×108+$119,588.87=$295,988.87
    5. Subtract the interest on a regular loan that pays down the principal from the start over 240 months. The gap is the extra cost

      $295,988.87−$232,579.91=$63,408.96