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Biweekly Payment 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 balance: $300,000
    • Interest rate: 6.8% per year
    • Time left on the loan: 35 years
    • How the half payments are applied: Held and applied monthly

    Find: Interest saved

  2. Problem 2.
    • Loan balance: $240,000
    • Interest rate: 6.4% per year
    • Time left on the loan: 26 years
    • How the half payments are applied: Applied every two weeks

    Find: Interest saved

  3. Problem 3.
    • Loan balance: $300,000
    • Interest rate: 6% per year
    • Time left on the loan: 36 years
    • How the half payments are applied: Applied every two weeks

    Find: Interest saved

  4. Problem 4.
    • Loan balance: $225,000
    • Interest rate: 5.3% per year
    • Time left on the loan: 32 years
    • How the half payments are applied: Applied every two weeks

    Find: Interest saved

  5. Problem 5.
    • Loan balance: $300,000
    • Interest rate: 9% per year
    • Time left on the loan: 26 years
    • How the half payments are applied: Held and applied monthly

    Find: Interest saved

  6. Problem 6.
    • Loan balance: $400,000
    • Interest rate: 7.2% per year
    • Time left on the loan: 30 years
    • How the half payments are applied: Applied every two weeks

    Find: Interest saved

  7. Problem 7.
    • Loan balance: $300,000
    • Interest rate: 7.2% per year
    • Time left on the loan: 28 years
    • How the half payments are applied: Applied every two weeks

    Find: Interest saved

  8. Problem 8.
    • Loan balance: $300,000
    • Interest rate: 4.5% per year
    • Time left on the loan: 28 years
    • How the half payments are applied: Applied every two weeks

    Find: Interest saved

  9. Problem 9.
    • Loan balance: $375,000
    • Interest rate: 5.5% per year
    • Time left on the loan: 36 years
    • How the half payments are applied: Applied every two weeks

    Find: Interest saved

  10. Problem 10.
    • Loan balance: $350,000
    • Interest rate: 4.2% per year
    • Time left on the loan: 32 years
    • How the half payments are applied: Applied every two weeks

    Find: Interest saved

Answer key: Biweekly Payment worksheet

  1. 1. Interest saved: $135,240.49

    1. Find your regular monthly payment. A standard formula gives the one amount that pays off the balance P in 420 months, at the monthly rate i (the yearly rate ÷ 12)

      $300,000.00×0.005666671−(1+0.00566667)−420=$1,874.67
    2. Halve it for the biweekly payment. You make it 26 times a year, which adds up to 13 monthly payments instead of 12

      $1,874.672=$937.34
    3. Find the interest on the regular schedule: all the monthly payments added up, minus what you owe

      $1,874.67×420−$300,000.00=$487,362.00
    4. When the lender holds the halves and applies them monthly, 26 halves a year work out to the regular payment plus one-twelfth extra each month

      $1,874.67+$1,874.6712=$2,030.89
    5. Apply that bigger payment each month. This is how many months it takes to pay off the loan

      months=322 = 26 years 10 months
    6. Subtract the biweekly plan's interest from the regular plan's interest to see what you save

      $487,362.00−$352,121.51=$135,240.49
  2. 2. Interest saved: $50,730.38

    1. Find your regular monthly payment. A standard formula gives the one amount that pays off the balance P in 312 months, at the monthly rate i (the yearly rate ÷ 12)

      $240,000.00×0.005333331−(1+0.00533333)−312=$1,580.67
    2. Halve it for the biweekly payment. You make it 26 times a year, which adds up to 13 monthly payments instead of 12

      $1,580.672=$790.34
    3. Find the interest on the regular schedule: all the monthly payments added up, minus what you owe

      $1,580.67×312−$240,000.00=$253,170.48
    4. Every two weeks, add interest at the yearly rate ÷ 26, then take off the half payment. Repeat until the loan is paid off; this is how many payments it takes

      payments=560 ≈ 21 years 7 months
    5. Subtract the biweekly plan's interest from the regular plan's interest to see what you save

      $253,170.48−$202,440.10=$50,730.38
  3. 3. Interest saved: $109,849.97

    1. Find your regular monthly payment. A standard formula gives the one amount that pays off the balance P in 432 months, at the monthly rate i (the yearly rate ÷ 12)

      $300,000.00×0.0051−(1+0.005)−432=$1,696.73
    2. Halve it for the biweekly payment. You make it 26 times a year, which adds up to 13 monthly payments instead of 12

      $1,696.732=$848.37
    3. Find the interest on the regular schedule: all the monthly payments added up, minus what you owe

      $1,696.73×432−$300,000.00=$432,988.13
    4. Every two weeks, add interest at the yearly rate ÷ 26, then take off the half payment. Repeat until the loan is paid off; this is how many payments it takes

      payments=735 ≈ 28 years 4 months
    5. Subtract the biweekly plan's interest from the regular plan's interest to see what you save

      $432,988.13−$323,138.16=$109,849.97
  4. 4. Interest saved: $49,351.39

    1. Find your regular monthly payment. A standard formula gives the one amount that pays off the balance P in 384 months, at the monthly rate i (the yearly rate ÷ 12)

      $225,000.00×0.004416671−(1+0.00441667)−384=$1,217.98
    2. Halve it for the biweekly payment. You make it 26 times a year, which adds up to 13 monthly payments instead of 12

      $1,217.982=$608.99
    3. Find the interest on the regular schedule: all the monthly payments added up, minus what you owe

      $1,217.98×384−$225,000.00=$242,705.49
    4. Every two weeks, add interest at the yearly rate ÷ 26, then take off the half payment. Repeat until the loan is paid off; this is how many payments it takes

      payments=687 ≈ 26 years 6 months
    5. Subtract the biweekly plan's interest from the regular plan's interest to see what you save

      $242,705.49−$193,354.10=$49,351.39
  5. 5. Interest saved: $130,042.41

    1. Find your regular monthly payment. A standard formula gives the one amount that pays off the balance P in 312 months, at the monthly rate i (the yearly rate ÷ 12)

      $300,000.00×0.00751−(1+0.0075)−312=$2,492.17
    2. Halve it for the biweekly payment. You make it 26 times a year, which adds up to 13 monthly payments instead of 12

      $2,492.172=$1,246.09
    3. Find the interest on the regular schedule: all the monthly payments added up, minus what you owe

      $2,492.17×312−$300,000.00=$477,557.08
    4. When the lender holds the halves and applies them monthly, 26 halves a year work out to the regular payment plus one-twelfth extra each month

      $2,492.17+$2,492.1712=$2,699.85
    5. Apply that bigger payment each month. This is how many months it takes to pay off the loan

      months=240 = 20 years
    6. Subtract the biweekly plan's interest from the regular plan's interest to see what you save

      $477,557.08−$347,514.67=$130,042.41
  6. 6. Interest saved: $146,602.45

    1. Find your regular monthly payment. A standard formula gives the one amount that pays off the balance P in 360 months, at the monthly rate i (the yearly rate ÷ 12)

      $400,000.00×0.0061−(1+0.006)−360=$2,715.15
    2. Halve it for the biweekly payment. You make it 26 times a year, which adds up to 13 monthly payments instead of 12

      $2,715.152=$1,357.58
    3. Find the interest on the regular schedule: all the monthly payments added up, minus what you owe

      $2,715.15×360−$400,000.00=$577,455.02
    4. Every two weeks, add interest at the yearly rate ÷ 26, then take off the half payment. Repeat until the loan is paid off; this is how many payments it takes

      payments=613 ≈ 23 years 7 months
    5. Subtract the biweekly plan's interest from the regular plan's interest to see what you save

      $577,455.02−$430,852.57=$146,602.45
  7. 7. Interest saved: $94,683.10

    1. Find your regular monthly payment. A standard formula gives the one amount that pays off the balance P in 336 months, at the monthly rate i (the yearly rate ÷ 12)

      $300,000.00×0.0061−(1+0.006)−336=$2,078.50
    2. Halve it for the biweekly payment. You make it 26 times a year, which adds up to 13 monthly payments instead of 12

      $2,078.502=$1,039.25
    3. Find the interest on the regular schedule: all the monthly payments added up, minus what you owe

      $2,078.50×336−$300,000.00=$398,376.82
    4. Every two weeks, add interest at the yearly rate ÷ 26, then take off the half payment. Repeat until the loan is paid off; this is how many payments it takes

      payments=581 ≈ 22 years 5 months
    5. Subtract the biweekly plan's interest from the regular plan's interest to see what you save

      $398,376.82−$303,693.72=$94,683.10
  8. 8. Interest saved: $37,007.38

    1. Find your regular monthly payment. A standard formula gives the one amount that pays off the balance P in 336 months, at the monthly rate i (the yearly rate ÷ 12)

      $300,000.00×0.003751−(1+0.00375)−336=$1,571.94
    2. Halve it for the biweekly payment. You make it 26 times a year, which adds up to 13 monthly payments instead of 12

      $1,571.942=$785.97
    3. Find the interest on the regular schedule: all the monthly payments added up, minus what you owe

      $1,571.94×336−$300,000.00=$228,171.43
    4. Every two weeks, add interest at the yearly rate ÷ 26, then take off the half payment. Repeat until the loan is paid off; this is how many payments it takes

      payments=625 ≈ 24 years 1 month
    5. Subtract the biweekly plan's interest from the regular plan's interest to see what you save

      $228,171.43−$191,164.05=$37,007.38
  9. 9. Interest saved: $113,683.53

    1. Find your regular monthly payment. A standard formula gives the one amount that pays off the balance P in 432 months, at the monthly rate i (the yearly rate ÷ 12)

      $375,000.00×0.004583331−(1+0.00458333)−432=$1,995.52
    2. Halve it for the biweekly payment. You make it 26 times a year, which adds up to 13 monthly payments instead of 12

      $1,995.522=$997.76
    3. Find the interest on the regular schedule: all the monthly payments added up, minus what you owe

      $1,995.52×432−$375,000.00=$487,064.19
    4. Every two weeks, add interest at the yearly rate ÷ 26, then take off the half payment. Repeat until the loan is paid off; this is how many payments it takes

      payments=751 ≈ 28 years 11 months
    5. Subtract the biweekly plan's interest from the regular plan's interest to see what you save

      $487,064.19−$373,380.67=$113,683.53
  10. 10. Interest saved: $48,616.76

    1. Find your regular monthly payment. A standard formula gives the one amount that pays off the balance P in 384 months, at the monthly rate i (the yearly rate ÷ 12)

      $350,000.00×0.00351−(1+0.0035)−384=$1,658.57
    2. Halve it for the biweekly payment. You make it 26 times a year, which adds up to 13 monthly payments instead of 12

      $1,658.572=$829.29
    3. Find the interest on the regular schedule: all the monthly payments added up, minus what you owe

      $1,658.57×384−$350,000.00=$286,891.86
    4. Every two weeks, add interest at the yearly rate ÷ 26, then take off the half payment. Repeat until the loan is paid off; this is how many payments it takes

      payments=710 ≈ 27 years 4 months
    5. Subtract the biweekly plan's interest from the regular plan's interest to see what you save

      $286,891.86−$238,275.10=$48,616.76