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Roth IRA worksheet

Grades 9–11

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

  1. Problem 1.
    • Filing status (2026): Married filing separately, lived with spouse during the year
    • Modified adjusted gross income (MAGI): $90,000
    • Taxable compensation (earned income): $90,000
    • Your age at the end of 2026: 35 years
    • Age you plan to retire: 50 years
    • Current Roth IRA balance: $4,500
    • Planned yearly contribution: $5,500
    • Yearly investment return: 7%
    • Tax rate for the taxable-account comparison: 15%

    Find: Roth IRA at age 50

  2. Problem 2.
    • Filing status (2026): Married filing jointly or qualifying surviving spouse
    • Modified adjusted gross income (MAGI): $100,000
    • Taxable compensation (earned income): $68,000
    • Your age at the end of 2026: 30 years
    • Age you plan to retire: 55 years
    • Current Roth IRA balance: $6,000
    • Planned yearly contribution: $9,000
    • Yearly investment return: 10%
    • Tax rate for the taxable-account comparison: 13%

    Find: Roth IRA at age 55

  3. Problem 3.
    • Filing status (2026): Married filing separately, lived apart all year
    • Modified adjusted gross income (MAGI): $107,500
    • Taxable compensation (earned income): $90,000
    • Your age at the end of 2026: 22 years
    • Age you plan to retire: 65 years
    • Current Roth IRA balance: $5,500
    • Planned yearly contribution: $7,250
    • Yearly investment return: 7%
    • Tax rate for the taxable-account comparison: 9%

    Find: Roth IRA at age 65

  4. Problem 4.
    • Filing status (2026): Married filing separately, lived with spouse during the year
    • Modified adjusted gross income (MAGI): $77,500
    • Taxable compensation (earned income): $80,000
    • Your age at the end of 2026: 34 years
    • Age you plan to retire: 60 years
    • Current Roth IRA balance: $4,500
    • Planned yearly contribution: $8,500
    • Yearly investment return: 6%
    • Tax rate for the taxable-account comparison: 18%

    Find: Roth IRA at age 60

  5. Problem 5.
    • Filing status (2026): Married filing separately, lived with spouse during the year
    • Modified adjusted gross income (MAGI): $80,000
    • Taxable compensation (earned income): $80,000
    • Your age at the end of 2026: 21 years
    • Age you plan to retire: 64 years
    • Current Roth IRA balance: $6,000
    • Planned yearly contribution: $7,400
    • Yearly investment return: 9%
    • Tax rate for the taxable-account comparison: 15%

    Find: Roth IRA at age 64

  6. Problem 6.
    • Filing status (2026): Head of household
    • Modified adjusted gross income (MAGI): $100,000
    • Taxable compensation (earned income): $70,000
    • Your age at the end of 2026: 33 years
    • Age you plan to retire: 55 years
    • Current Roth IRA balance: $4,500
    • Planned yearly contribution: $6,600
    • Yearly investment return: 6%
    • Tax rate for the taxable-account comparison: 13%

    Find: Roth IRA at age 55

  7. Problem 7.
    • Filing status (2026): Married filing separately, lived apart all year
    • Modified adjusted gross income (MAGI): $70,000
    • Taxable compensation (earned income): $90,000
    • Your age at the end of 2026: 28 years
    • Age you plan to retire: 50 years
    • Current Roth IRA balance: $4,000
    • Planned yearly contribution: $4,000
    • Yearly investment return: 9%
    • Tax rate for the taxable-account comparison: 16%

    Find: Roth IRA at age 50

  8. Problem 8.
    • Filing status (2026): Married filing separately, lived apart all year
    • Modified adjusted gross income (MAGI): $80,000
    • Taxable compensation (earned income): $60,000
    • Your age at the end of 2026: 24 years
    • Age you plan to retire: 80 years
    • Current Roth IRA balance: $4,400
    • Planned yearly contribution: $8,250
    • Yearly investment return: 7%
    • Tax rate for the taxable-account comparison: 18%

    Find: Roth IRA at age 80

  9. Problem 9.
    • Filing status (2026): Married filing jointly or qualifying surviving spouse
    • Modified adjusted gross income (MAGI): $78,000
    • Taxable compensation (earned income): $90,000
    • Your age at the end of 2026: 24 years
    • Age you plan to retire: 50 years
    • Current Roth IRA balance: $6,200
    • Planned yearly contribution: $7,500
    • Yearly investment return: 8%
    • Tax rate for the taxable-account comparison: 16%

    Find: Roth IRA at age 50

  10. Problem 10.
    • Filing status (2026): Married filing separately, lived with spouse during the year
    • Modified adjusted gross income (MAGI): $100,000
    • Taxable compensation (earned income): $80,000
    • Your age at the end of 2026: 38 years
    • Age you plan to retire: 65 years
    • Current Roth IRA balance: $4,000
    • Planned yearly contribution: $7,000
    • Yearly investment return: 5%
    • Tax rate for the taxable-account comparison: 14%

    Find: Roth IRA at age 65

Answer key: Roth IRA worksheet

  1. 1. Roth IRA at age 50: $12,415.64

    1. Start with the 2026 IRA limit for people under 50

      limit=$7,500.00
    2. Your income (MAGI) is at or above $10,000.00, the top of the phase-out range, so you can't put money in a Roth directly

      allowed=$0.00
    3. So this is your 2026 Roth IRA limit

      limit=$0.00
    4. This year you put in your planned amount or the limit, whichever is smaller

      min($5,500.00, $0.00)=$0.00
    5. Each year the balance earns its return, then that year's money is added

      balance after year 1=$4,500.00×(1+0.07)+$0.00=$4,815.00
    6. Repeat that for 15 years to get the balance when you retire

      Roth IRA at age 50=$12,415.64
    7. Find the growth: the final balance minus what you started with and what you put in

      $12,415.64−$4,500.00−$0.00=$7,915.64
    8. Compare with a taxable account. If 15% of the growth is taxed each year, the money grows at only 5.95% a year, so you'd end up with this much less

      $12,415.64−$10,708.46=$1,707.18
  2. 2. Roth IRA at age 55: $809,326.79

    1. Start with the 2026 IRA limit for people under 50

      limit=$7,500.00
    2. Your income (MAGI) is at or below $242,000.00, where the phase-out starts, so you can put in the full amount

      allowed before other IRAs=$7,500.00
    3. So this is your 2026 Roth IRA limit

      limit=$7,500.00
    4. This year you put in your planned amount or the limit, whichever is smaller

      min($9,000.00, $7,500.00)=$7,500.00
    5. Each year the balance earns its return, then that year's money is added

      balance after year 1=$6,000.00×(1+0.1)+$7,500.00=$14,100.00
    6. Repeat that for 25 years to get the balance when you retire

      Roth IRA at age 55=$809,326.79
    7. Find the growth: the final balance minus what you started with and what you put in

      $809,326.79−$6,000.00−$193,000.00=$610,326.79
    8. Compare with a taxable account. If 13% of the growth is taxed each year, the money grows at only 8.7% a year, so you'd end up with this much less

      $809,326.79−$662,504.68=$146,822.12
  3. 3. Roth IRA at age 65: $1,897,273.55

    1. Start with the 2026 IRA limit for people under 50

      limit=$7,500.00
    2. Your income (MAGI) is at or below $153,000.00, where the phase-out starts, so you can put in the full amount

      allowed before other IRAs=$7,500.00
    3. So this is your 2026 Roth IRA limit

      limit=$7,500.00
    4. This year you put in your planned amount or the limit, whichever is smaller

      min($7,250.00, $7,500.00)=$7,250.00
    5. Each year the balance earns its return, then that year's money is added

      balance after year 1=$5,500.00×(1+0.07)+$7,250.00=$13,135.00
    6. Repeat that for 43 years to get the balance when you retire

      Roth IRA at age 65=$1,897,273.55
    7. Find the growth: the final balance minus what you started with and what you put in

      $1,897,273.55−$5,500.00−$311,750.00=$1,580,023.55
    8. Compare with a taxable account. If 9% of the growth is taxed each year, the money grows at only 6.37% a year, so you'd end up with this much less

      $1,897,273.55−$1,584,108.31=$313,165.25
  4. 4. Roth IRA at age 60: $20,472.22

    1. Start with the 2026 IRA limit for people under 50

      limit=$7,500.00
    2. Your income (MAGI) is at or above $10,000.00, the top of the phase-out range, so you can't put money in a Roth directly

      allowed=$0.00
    3. So this is your 2026 Roth IRA limit

      limit=$0.00
    4. This year you put in your planned amount or the limit, whichever is smaller

      min($8,500.00, $0.00)=$0.00
    5. Each year the balance earns its return, then that year's money is added

      balance after year 1=$4,500.00×(1+0.06)+$0.00=$4,770.00
    6. Repeat that for 26 years to get the balance when you retire

      Roth IRA at age 60=$20,472.22
    7. Find the growth: the final balance minus what you started with and what you put in

      $20,472.22−$4,500.00−$0.00=$15,972.22
    8. Compare with a taxable account. If 18% of the growth is taxed each year, the money grows at only 4.92% a year, so you'd end up with this much less

      $20,472.22−$15,686.56=$4,785.66
  5. 5. Roth IRA at age 64: $244,056.66

    1. Start with the 2026 IRA limit for people under 50

      limit=$7,500.00
    2. Your income (MAGI) is at or above $10,000.00, the top of the phase-out range, so you can't put money in a Roth directly

      allowed=$0.00
    3. So this is your 2026 Roth IRA limit

      limit=$0.00
    4. This year you put in your planned amount or the limit, whichever is smaller

      min($7,400.00, $0.00)=$0.00
    5. Each year the balance earns its return, then that year's money is added

      balance after year 1=$6,000.00×(1+0.09)+$0.00=$6,540.00
    6. Repeat that for 43 years to get the balance when you retire

      Roth IRA at age 64=$244,056.66
    7. Find the growth: the final balance minus what you started with and what you put in

      $244,056.66−$6,000.00−$0.00=$238,056.66
    8. Compare with a taxable account. If 15% of the growth is taxed each year, the money grows at only 7.65% a year, so you'd end up with this much less

      $244,056.66−$142,808.72=$101,247.94
  6. 6. Roth IRA at age 55: $302,605.03

    1. Start with the 2026 IRA limit for people under 50

      limit=$7,500.00
    2. Your income (MAGI) is at or below $153,000.00, where the phase-out starts, so you can put in the full amount

      allowed before other IRAs=$7,500.00
    3. So this is your 2026 Roth IRA limit

      limit=$7,500.00
    4. This year you put in your planned amount or the limit, whichever is smaller

      min($6,600.00, $7,500.00)=$6,600.00
    5. Each year the balance earns its return, then that year's money is added

      balance after year 1=$4,500.00×(1+0.06)+$6,600.00=$11,370.00
    6. Repeat that for 22 years to get the balance when you retire

      Roth IRA at age 55=$302,605.03
    7. Find the growth: the final balance minus what you started with and what you put in

      $302,605.03−$4,500.00−$145,200.00=$152,905.03
    8. Compare with a taxable account. If 13% of the growth is taxed each year, the money grows at only 5.22% a year, so you'd end up with this much less

      $302,605.03−$274,636.94=$27,968.10
  7. 7. Roth IRA at age 50: $278,127.75

    1. Start with the 2026 IRA limit for people under 50

      limit=$7,500.00
    2. Your income (MAGI) is at or below $153,000.00, where the phase-out starts, so you can put in the full amount

      allowed before other IRAs=$7,500.00
    3. So this is your 2026 Roth IRA limit

      limit=$7,500.00
    4. This year you put in your planned amount or the limit, whichever is smaller

      min($4,000.00, $7,500.00)=$4,000.00
    5. Each year the balance earns its return, then that year's money is added

      balance after year 1=$4,000.00×(1+0.09)+$4,000.00=$8,360.00
    6. Repeat that for 22 years to get the balance when you retire

      Roth IRA at age 50=$278,127.75
    7. Find the growth: the final balance minus what you started with and what you put in

      $278,127.75−$4,000.00−$88,000.00=$186,127.75
    8. Compare with a taxable account. If 16% of the growth is taxed each year, the money grows at only 7.56% a year, so you'd end up with this much less

      $278,127.75−$229,907.56=$48,220.20
  8. 8. Roth IRA at age 80: $4,894,683.57

    1. Start with the 2026 IRA limit for people under 50

      limit=$7,500.00
    2. Your income (MAGI) is at or below $153,000.00, where the phase-out starts, so you can put in the full amount

      allowed before other IRAs=$7,500.00
    3. So this is your 2026 Roth IRA limit

      limit=$7,500.00
    4. This year you put in your planned amount or the limit, whichever is smaller

      min($8,250.00, $7,500.00)=$7,500.00
    5. Each year the balance earns its return, then that year's money is added

      balance after year 1=$4,400.00×(1+0.07)+$7,500.00=$12,208.00
    6. Repeat that for 56 years to get the balance when you retire

      Roth IRA at age 80=$4,894,683.57
    7. Find the growth: the final balance minus what you started with and what you put in

      $4,894,683.57−$4,400.00−$442,500.00=$4,447,783.57
    8. Compare with a taxable account. If 18% of the growth is taxed each year, the money grows at only 5.74% a year, so you'd end up with this much less

      $4,894,683.57−$3,001,619.24=$1,893,064.33
  9. 9. Roth IRA at age 50: $645,515.50

    1. Start with the 2026 IRA limit for people under 50

      limit=$7,500.00
    2. Your income (MAGI) is at or below $242,000.00, where the phase-out starts, so you can put in the full amount

      allowed before other IRAs=$7,500.00
    3. So this is your 2026 Roth IRA limit

      limit=$7,500.00
    4. This year you put in your planned amount or the limit, whichever is smaller

      min($7,500.00, $7,500.00)=$7,500.00
    5. Each year the balance earns its return, then that year's money is added

      balance after year 1=$6,200.00×(1+0.08)+$7,500.00=$14,196.00
    6. Repeat that for 26 years to get the balance when you retire

      Roth IRA at age 50=$645,515.50
    7. Find the growth: the final balance minus what you started with and what you put in

      $645,515.50−$6,200.00−$195,000.00=$444,315.50
    8. Compare with a taxable account. If 16% of the growth is taxed each year, the money grows at only 6.72% a year, so you'd end up with this much less

      $645,515.50−$527,484.08=$118,031.42
  10. 10. Roth IRA at age 65: $14,933.83

    1. Start with the 2026 IRA limit for people under 50

      limit=$7,500.00
    2. Your income (MAGI) is at or above $10,000.00, the top of the phase-out range, so you can't put money in a Roth directly

      allowed=$0.00
    3. So this is your 2026 Roth IRA limit

      limit=$0.00
    4. This year you put in your planned amount or the limit, whichever is smaller

      min($7,000.00, $0.00)=$0.00
    5. Each year the balance earns its return, then that year's money is added

      balance after year 1=$4,000.00×(1+0.05)+$0.00=$4,200.00
    6. Repeat that for 27 years to get the balance when you retire

      Roth IRA at age 65=$14,933.83
    7. Find the growth: the final balance minus what you started with and what you put in

      $14,933.83−$4,000.00−$0.00=$10,933.83
    8. Compare with a taxable account. If 14% of the growth is taxed each year, the money grows at only 4.3% a year, so you'd end up with this much less

      $14,933.83−$12,466.26=$2,467.56