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Lottery Tax 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.
    • Payout you're choosing: Annuity (yearly payments)
    • Advertised jackpot (annuity total): $100,000,000
    • Cash value (lump-sum option): $47,500,000
    • Number of annuity payments: 25
    • Yearly increase in each payment: 0%
    • Federal tax to subtract: Full 2026 federal tax (brackets)
    • Filing status: Married filing separately
    • Federal withholding rate: 18%
    • State income tax rate on the prize: 0%

    Find: Annuity after taxes (all payments)

  2. Problem 2.
    • Payout you're choosing: Lump sum (cash value)
    • Advertised jackpot (annuity total): $60,000,000
    • Cash value (lump-sum option): $35,000,000
    • Number of annuity payments: 25
    • Yearly increase in each payment: 5%
    • Federal tax to subtract: Only the amount withheld
    • Filing status: Married filing jointly
    • Federal withholding rate: 22%
    • State income tax rate on the prize: 6%

    Find: Lump sum after taxes

  3. Problem 3.
    • Payout you're choosing: Lump sum (cash value)
    • Advertised jackpot (annuity total): $66,000,000
    • Cash value (lump-sum option): $36,000,000
    • Number of annuity payments: 20
    • Yearly increase in each payment: 4%
    • Federal tax to subtract: Only the amount withheld
    • Filing status: Single
    • Federal withholding rate: 30%
    • State income tax rate on the prize: 3%

    Find: Lump sum after taxes

  4. Problem 4.
    • Payout you're choosing: Lump sum (cash value)
    • Advertised jackpot (annuity total): $110,000,000
    • Cash value (lump-sum option): $32,500,000
    • Number of annuity payments: 20
    • Yearly increase in each payment: 5%
    • Federal tax to subtract: Only the amount withheld
    • Filing status: Head of household
    • Federal withholding rate: 30%
    • State income tax rate on the prize: 4.5%

    Find: Lump sum after taxes

  5. Problem 5.
    • Payout you're choosing: Annuity (yearly payments)
    • Advertised jackpot (annuity total): $57,500,000
    • Cash value (lump-sum option): $38,000,000
    • Number of annuity payments: 20
    • Yearly increase in each payment: 5%
    • Federal tax to subtract: Full 2026 federal tax (brackets)
    • Filing status: Head of household
    • Federal withholding rate: 22%
    • State income tax rate on the prize: 6%

    Find: Annuity after taxes (all payments)

  6. Problem 6.
    • Payout you're choosing: Lump sum (cash value)
    • Advertised jackpot (annuity total): $66,000,000
    • Cash value (lump-sum option): $32,500,000
    • Number of annuity payments: 20
    • Yearly increase in each payment: 4%
    • Federal tax to subtract: Full 2026 federal tax (brackets)
    • Filing status: Married filing separately
    • Federal withholding rate: 24%
    • State income tax rate on the prize: 6%

    Find: Lump sum after taxes

  7. Problem 7.
    • Payout you're choosing: Annuity (yearly payments)
    • Advertised jackpot (annuity total): $72,500,000
    • Cash value (lump-sum option): $40,000,000
    • Number of annuity payments: 30
    • Yearly increase in each payment: 5%
    • Federal tax to subtract: Only the amount withheld
    • Filing status: Single
    • Federal withholding rate: 21%
    • State income tax rate on the prize: 3%

    Find: Annuity after taxes (all payments)

  8. Problem 8.
    • Payout you're choosing: Annuity (yearly payments)
    • Advertised jackpot (annuity total): $100,000,000
    • Cash value (lump-sum option): $34,000,000
    • Number of annuity payments: 20
    • Yearly increase in each payment: 0%
    • Federal tax to subtract: Full 2026 federal tax (brackets)
    • Filing status: Head of household
    • Federal withholding rate: 30%
    • State income tax rate on the prize: 0%

    Find: Annuity after taxes (all payments)

  9. Problem 9.
    • Payout you're choosing: Lump sum (cash value)
    • Advertised jackpot (annuity total): $72,500,000
    • Cash value (lump-sum option): $45,000,000
    • Number of annuity payments: 25
    • Yearly increase in each payment: 0%
    • Federal tax to subtract: Only the amount withheld
    • Filing status: Married filing jointly
    • Federal withholding rate: 30%
    • State income tax rate on the prize: 0%

    Find: Lump sum after taxes

  10. Problem 10.
    • Payout you're choosing: Annuity (yearly payments)
    • Advertised jackpot (annuity total): $80,000,000
    • Cash value (lump-sum option): $35,000,000
    • Number of annuity payments: 30
    • Yearly increase in each payment: 4%
    • Federal tax to subtract: Only the amount withheld
    • Filing status: Single
    • Federal withholding rate: 23%
    • State income tax rate on the prize: 6%

    Find: Annuity after taxes (all payments)

Answer key: Lottery Tax worksheet

  1. 1. Annuity after taxes (all payments): $63,972,943.75

    1. Lump sum: tax the cash value with the 2026 brackets for married filing separately. Each slice of the prize is taxed at its own rate, up to 37%

      $12,400.00×10%+$38,000.00×12%+$55,300.00×22%+$96,075.00×24%+$54,450.00×32%+$128,125.00×35%+$47,115,650.00×37%=$17,536,082.25
    2. Lump sum: find the state tax at 0%

      $47,500,000.00×0%=$0.00
    3. Lump sum: subtract both taxes from the cash value to get what you keep

      $47,500,000.00−$17,536,082.25−$0.00=$29,963,917.75
    4. Yearly payments: with no yearly increase, split the jackpot into 25 equal payments

      $100,000,000.0025=$4,000,000.00
    5. Yearly payments: tax each payment in the year you get it, using the same brackets, then add up the 25 years

      federal tax on 25 payments=$36,027,056.25
    6. Yearly payments: the state tax is 0% of all the payments

      $100,000,000.00×0%=$0.00
    7. Yearly payments: subtract both taxes from the jackpot to get what you keep over all the years

      $100,000,000.00−$36,027,056.25−$0.00=$63,972,943.75
    8. Compare the two: what the yearly payments leave, minus what the lump sum leaves

      difference=$63,972,943.75−$29,963,917.75=$34,009,026.00
  2. 2. Lump sum after taxes: $25,200,000.00

    1. Lump sum: find the federal tax withheld at 22% of the cash value

      $35,000,000.00×22%=$7,700,000.00
    2. Lump sum: find the state tax at 6%

      $35,000,000.00×6%=$2,100,000.00
    3. Lump sum: subtract both taxes from the cash value to get what you keep

      $35,000,000.00−$7,700,000.00−$2,100,000.00=$25,200,000.00
    4. Yearly payments: find the first payment. Each payment is 5% bigger than the last, and all 25 add up to the jackpot (g is the yearly increase)

      $60,000,000.00×0.05(1+0.05)25−1=$1,257,147.44
    5. Yearly payments: the last payment is the first one grown 24 times

      $1,257,147.44×1.0524=$4,054,426.13
    6. Yearly payments: the payments add up to the jackpot, so the federal withholding is 22% of it

      $60,000,000.00×22%=$13,200,000.00
    7. Yearly payments: the state tax is 6% of all the payments

      $60,000,000.00×6%=$3,600,000.00
    8. Yearly payments: subtract both taxes from the jackpot to get what you keep over all the years

      $60,000,000.00−$13,200,000.00−$3,600,000.00=$43,200,000.00
    9. Compare the two: what the yearly payments leave, minus what the lump sum leaves

      difference=$43,200,000.00−$25,200,000.00=$18,000,000.00
  3. 3. Lump sum after taxes: $24,120,000.00

    1. Lump sum: find the federal tax withheld at 30% of the cash value

      $36,000,000.00×30%=$10,800,000.00
    2. Lump sum: find the state tax at 3%

      $36,000,000.00×3%=$1,080,000.00
    3. Lump sum: subtract both taxes from the cash value to get what you keep

      $36,000,000.00−$10,800,000.00−$1,080,000.00=$24,120,000.00
    4. Yearly payments: find the first payment. Each payment is 4% bigger than the last, and all 20 add up to the jackpot (g is the yearly increase)

      $66,000,000.00×0.04(1+0.04)20−1=$2,216,395.52
    5. Yearly payments: the last payment is the first one grown 19 times

      $2,216,395.52×1.0419=$4,669,611.08
    6. Yearly payments: the payments add up to the jackpot, so the federal withholding is 30% of it

      $66,000,000.00×30%=$19,800,000.00
    7. Yearly payments: the state tax is 3% of all the payments

      $66,000,000.00×3%=$1,980,000.00
    8. Yearly payments: subtract both taxes from the jackpot to get what you keep over all the years

      $66,000,000.00−$19,800,000.00−$1,980,000.00=$44,220,000.00
    9. Compare the two: what the yearly payments leave, minus what the lump sum leaves

      difference=$44,220,000.00−$24,120,000.00=$20,100,000.00
  4. 4. Lump sum after taxes: $21,287,500.00

    1. Lump sum: find the federal tax withheld at 30% of the cash value

      $32,500,000.00×30%=$9,750,000.00
    2. Lump sum: find the state tax at 4.5%

      $32,500,000.00×4.5%=$1,462,500.00
    3. Lump sum: subtract both taxes from the cash value to get what you keep

      $32,500,000.00−$9,750,000.00−$1,462,500.00=$21,287,500.00
    4. Yearly payments: find the first payment. Each payment is 5% bigger than the last, and all 20 add up to the jackpot (g is the yearly increase)

      $110,000,000.00×0.05(1+0.05)20−1=$3,326,684.59
    5. Yearly payments: the last payment is the first one grown 19 times

      $3,326,684.59×1.0519=$8,406,366.28
    6. Yearly payments: the payments add up to the jackpot, so the federal withholding is 30% of it

      $110,000,000.00×30%=$33,000,000.00
    7. Yearly payments: the state tax is 4.5% of all the payments

      $110,000,000.00×4.5%=$4,950,000.00
    8. Yearly payments: subtract both taxes from the jackpot to get what you keep over all the years

      $110,000,000.00−$33,000,000.00−$4,950,000.00=$72,050,000.00
    9. Compare the two: what the yearly payments leave, minus what the lump sum leaves

      difference=$72,050,000.00−$21,287,500.00=$50,762,500.00
  5. 5. Annuity after taxes (all payments): $33,692,020.00

    1. Lump sum: tax the cash value with the 2026 brackets for head of household. Each slice of the prize is taxed at its own rate, up to 37%

      $17,700.00×10%+$49,750.00×12%+$38,250.00×22%+$96,050.00×24%+$54,450.00×32%+$384,400.00×35%+$37,359,400.00×37%=$14,014,149.00
    2. Lump sum: find the state tax at 6%

      $38,000,000.00×6%=$2,280,000.00
    3. Lump sum: subtract both taxes from the cash value to get what you keep

      $38,000,000.00−$14,014,149.00−$2,280,000.00=$21,705,851.00
    4. Yearly payments: find the first payment. Each payment is 5% bigger than the last, and all 20 add up to the jackpot (g is the yearly increase)

      $57,500,000.00×0.05(1+0.05)20−1=$1,738,948.76
    5. Yearly payments: the last payment is the first one grown 19 times

      $1,738,948.76×1.0519=$4,394,236.92
    6. Yearly payments: tax each payment in the year you get it, using the same brackets, then add up the 20 years

      federal tax on 20 payments=$20,357,980.00
    7. Yearly payments: the state tax is 6% of all the payments

      $57,500,000.00×6%=$3,450,000.00
    8. Yearly payments: subtract both taxes from the jackpot to get what you keep over all the years

      $57,500,000.00−$20,357,980.00−$3,450,000.00=$33,692,020.00
    9. Compare the two: what the yearly payments leave, minus what the lump sum leaves

      difference=$33,692,020.00−$21,705,851.00=$11,986,169.00
  6. 6. Lump sum after taxes: $18,563,917.75

    1. Lump sum: tax the cash value with the 2026 brackets for married filing separately. Each slice of the prize is taxed at its own rate, up to 37%

      $12,400.00×10%+$38,000.00×12%+$55,300.00×22%+$96,075.00×24%+$54,450.00×32%+$128,125.00×35%+$32,115,650.00×37%=$11,986,082.25
    2. Lump sum: find the state tax at 6%

      $32,500,000.00×6%=$1,950,000.00
    3. Lump sum: subtract both taxes from the cash value to get what you keep

      $32,500,000.00−$11,986,082.25−$1,950,000.00=$18,563,917.75
    4. Yearly payments: find the first payment. Each payment is 4% bigger than the last, and all 20 add up to the jackpot (g is the yearly increase)

      $66,000,000.00×0.04(1+0.04)20−1=$2,216,395.52
    5. Yearly payments: the last payment is the first one grown 19 times

      $2,216,395.52×1.0419=$4,669,611.08
    6. Yearly payments: tax each payment in the year you get it, using the same brackets, then add up the 20 years

      federal tax on 20 payments=$23,641,645.00
    7. Yearly payments: the state tax is 6% of all the payments

      $66,000,000.00×6%=$3,960,000.00
    8. Yearly payments: subtract both taxes from the jackpot to get what you keep over all the years

      $66,000,000.00−$23,641,645.00−$3,960,000.00=$38,398,355.00
    9. Compare the two: what the yearly payments leave, minus what the lump sum leaves

      difference=$38,398,355.00−$18,563,917.75=$19,834,437.25
  7. 7. Annuity after taxes (all payments): $55,100,000.00

    1. Lump sum: find the federal tax withheld at 21% of the cash value

      $40,000,000.00×21%=$8,400,000.00
    2. Lump sum: find the state tax at 3%

      $40,000,000.00×3%=$1,200,000.00
    3. Lump sum: subtract both taxes from the cash value to get what you keep

      $40,000,000.00−$8,400,000.00−$1,200,000.00=$30,400,000.00
    4. Yearly payments: find the first payment. Each payment is 5% bigger than the last, and all 30 add up to the jackpot (g is the yearly increase)

      $72,500,000.00×0.05(1+0.05)30−1=$1,091,229.04
    5. Yearly payments: the last payment is the first one grown 29 times

      $1,091,229.04×1.0529=$4,491,646.71
    6. Yearly payments: the payments add up to the jackpot, so the federal withholding is 21% of it

      $72,500,000.00×21%=$15,225,000.00
    7. Yearly payments: the state tax is 3% of all the payments

      $72,500,000.00×3%=$2,175,000.00
    8. Yearly payments: subtract both taxes from the jackpot to get what you keep over all the years

      $72,500,000.00−$15,225,000.00−$2,175,000.00=$55,100,000.00
    9. Compare the two: what the yearly payments leave, minus what the lump sum leaves

      difference=$55,100,000.00−$30,400,000.00=$24,700,000.00
  8. 8. Annuity after taxes (all payments): $63,917,020.00

    1. Lump sum: tax the cash value with the 2026 brackets for head of household. Each slice of the prize is taxed at its own rate, up to 37%

      $17,700.00×10%+$49,750.00×12%+$38,250.00×22%+$96,050.00×24%+$54,450.00×32%+$384,400.00×35%+$33,359,400.00×37%=$12,534,149.00
    2. Lump sum: find the state tax at 0%

      $34,000,000.00×0%=$0.00
    3. Lump sum: subtract both taxes from the cash value to get what you keep

      $34,000,000.00−$12,534,149.00−$0.00=$21,465,851.00
    4. Yearly payments: with no yearly increase, split the jackpot into 20 equal payments

      $100,000,000.0020=$5,000,000.00
    5. Yearly payments: tax each payment in the year you get it, using the same brackets, then add up the 20 years

      federal tax on 20 payments=$36,082,980.00
    6. Yearly payments: the state tax is 0% of all the payments

      $100,000,000.00×0%=$0.00
    7. Yearly payments: subtract both taxes from the jackpot to get what you keep over all the years

      $100,000,000.00−$36,082,980.00−$0.00=$63,917,020.00
    8. Compare the two: what the yearly payments leave, minus what the lump sum leaves

      difference=$63,917,020.00−$21,465,851.00=$42,451,169.00
  9. 9. Lump sum after taxes: $31,500,000.00

    1. Lump sum: find the federal tax withheld at 30% of the cash value

      $45,000,000.00×30%=$13,500,000.00
    2. Lump sum: find the state tax at 0%

      $45,000,000.00×0%=$0.00
    3. Lump sum: subtract both taxes from the cash value to get what you keep

      $45,000,000.00−$13,500,000.00−$0.00=$31,500,000.00
    4. Yearly payments: with no yearly increase, split the jackpot into 25 equal payments

      $72,500,000.0025=$2,900,000.00
    5. Yearly payments: the payments add up to the jackpot, so the federal withholding is 30% of it

      $72,500,000.00×30%=$21,750,000.00
    6. Yearly payments: the state tax is 0% of all the payments

      $72,500,000.00×0%=$0.00
    7. Yearly payments: subtract both taxes from the jackpot to get what you keep over all the years

      $72,500,000.00−$21,750,000.00−$0.00=$50,750,000.00
    8. Compare the two: what the yearly payments leave, minus what the lump sum leaves

      difference=$50,750,000.00−$31,500,000.00=$19,250,000.00
  10. 10. Annuity after taxes (all payments): $56,800,000.00

    1. Lump sum: find the federal tax withheld at 23% of the cash value

      $35,000,000.00×23%=$8,050,000.00
    2. Lump sum: find the state tax at 6%

      $35,000,000.00×6%=$2,100,000.00
    3. Lump sum: subtract both taxes from the cash value to get what you keep

      $35,000,000.00−$8,050,000.00−$2,100,000.00=$24,850,000.00
    4. Yearly payments: find the first payment. Each payment is 4% bigger than the last, and all 30 add up to the jackpot (g is the yearly increase)

      $80,000,000.00×0.04(1+0.04)30−1=$1,426,407.93
    5. Yearly payments: the last payment is the first one grown 29 times

      $1,426,407.93×1.0429=$4,448,469.16
    6. Yearly payments: the payments add up to the jackpot, so the federal withholding is 23% of it

      $80,000,000.00×23%=$18,400,000.00
    7. Yearly payments: the state tax is 6% of all the payments

      $80,000,000.00×6%=$4,800,000.00
    8. Yearly payments: subtract both taxes from the jackpot to get what you keep over all the years

      $80,000,000.00−$18,400,000.00−$4,800,000.00=$56,800,000.00
    9. Compare the two: what the yearly payments leave, minus what the lump sum leaves

      difference=$56,800,000.00−$24,850,000.00=$31,950,000.00