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Dividend Reinvestment worksheet

Grades 10–12 · CCSS HSF.LE.A.1.c, HSF.LE.A.2, HSA.SSE.B.3.c

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

  1. Problem 1.
    • Initial investment: $10,000
    • Share price today: $52
    • Dividend yield per year: 4%
    • Share price growth per year: 4%
    • Years: 18
    • Dividends are paid: Quarterly

    Find: Value after 18 years with dividends reinvested

  2. Problem 2.
    • Initial investment: $9,000
    • Share price today: $45
    • Dividend yield per year: 3%
    • Share price growth per year: 6%
    • Years: 16
    • Dividends are paid: Yearly

    Find: Value after 16 years with dividends reinvested

  3. Problem 3.
    • Initial investment: $10,000
    • Share price today: $50
    • Dividend yield per year: 4%
    • Share price growth per year: 7%
    • Years: 29
    • Dividends are paid: Yearly

    Find: Value after 29 years with dividends reinvested

  4. Problem 4.
    • Initial investment: $12,000
    • Share price today: $55
    • Dividend yield per year: 4%
    • Share price growth per year: 4%
    • Years: 22
    • Dividends are paid: Yearly

    Find: Value after 22 years with dividends reinvested

  5. Problem 5.
    • Initial investment: $9,500
    • Share price today: $45
    • Dividend yield per year: 2%
    • Share price growth per year: 4%
    • Years: 18
    • Dividends are paid: Monthly

    Find: Value after 18 years with dividends reinvested

  6. Problem 6.
    • Initial investment: $13,000
    • Share price today: $28
    • Dividend yield per year: 4%
    • Share price growth per year: 6%
    • Years: 13
    • Dividends are paid: Monthly

    Find: Value after 13 years with dividends reinvested

  7. Problem 7.
    • Initial investment: $10,000
    • Share price today: $64
    • Dividend yield per year: 2%
    • Share price growth per year: 6%
    • Years: 16
    • Dividends are paid: Quarterly

    Find: Value after 16 years with dividends reinvested

  8. Problem 8.
    • Initial investment: $9,000
    • Share price today: $52
    • Dividend yield per year: 3%
    • Share price growth per year: 4%
    • Years: 15
    • Dividends are paid: Yearly

    Find: Value after 15 years with dividends reinvested

  9. Problem 9.
    • Initial investment: $9,400
    • Share price today: $60
    • Dividend yield per year: 3%
    • Share price growth per year: 5%
    • Years: 20
    • Dividends are paid: Quarterly

    Find: Value after 20 years with dividends reinvested

  10. Problem 10.
    • Initial investment: $9,000
    • Share price today: $45
    • Dividend yield per year: 3%
    • Share price growth per year: 5%
    • Years: 18
    • Dividends are paid: Yearly

    Find: Value after 18 years with dividends reinvested

Answer key: Dividend Reinvestment worksheet

  1. 1. Value after 18 years with dividends reinvested: $41,470.48

    1. Divide your money by the share price to see how many shares it buys

      $10,000.00$52.00=192.3077
    2. Each quarterly payment buys more shares. So the share count grows by this factor every period

      1+4%4=1.01
    3. After 72 payments, the share count has grown by that factor 72 times over

      192.3077×1.0172=393.6729
    4. Grow the share price by 4% a year for 18 years

      $52.00×(1+0.04)18=$105.34
    5. Multiply the shares you own by the final share price to get their value

      393.672945×$105.34=$41,470.48
  2. 2. Value after 16 years with dividends reinvested: $36,688.67

    1. Divide your money by the share price to see how many shares it buys

      $9,000.00$45.00=200
    2. Each yearly payment buys more shares. So the share count grows by this factor every period

      1+3%1=1.03
    3. After 16 payments, the share count has grown by that factor 16 times over

      200×1.0316=320.9413
    4. Grow the share price by 6% a year for 16 years

      $45.00×(1+0.06)16=$114.32
    5. Multiply the shares you own by the final share price to get their value

      320.941288×$114.32=$36,688.67
  3. 3. Value after 29 years with dividends reinvested: $221,868.88

    1. Divide your money by the share price to see how many shares it buys

      $10,000.00$50.00=200
    2. Each yearly payment buys more shares. So the share count grows by this factor every period

      1+4%1=1.04
    3. After 29 payments, the share count has grown by that factor 29 times over

      200×1.0429=623.7303
    4. Grow the share price by 7% a year for 29 years

      $50.00×(1+0.07)29=$355.71
    5. Multiply the shares you own by the final share price to get their value

      623.73029×$355.71=$221,868.88
  4. 4. Value after 22 years with dividends reinvested: $67,398.18

    1. Divide your money by the share price to see how many shares it buys

      $12,000.00$55.00=218.1818
    2. Each yearly payment buys more shares. So the share count grows by this factor every period

      1+4%1=1.04
    3. After 22 payments, the share count has grown by that factor 22 times over

      218.1818×1.0422=517.0732
    4. Grow the share price by 4% a year for 22 years

      $55.00×(1+0.04)22=$130.35
    5. Multiply the shares you own by the final share price to get their value

      517.073191×$130.35=$67,398.18
  5. 5. Value after 18 years with dividends reinvested: $27,576.53

    1. Divide your money by the share price to see how many shares it buys

      $9,500.00$45.00=211.1111
    2. Each monthly payment buys more shares. So the share count grows by this factor every period

      1+2%12=1.00166667
    3. After 216 payments, the share count has grown by that factor 216 times over

      211.1111×1.00166667216=302.5011
    4. Grow the share price by 4% a year for 18 years

      $45.00×(1+0.04)18=$91.16
    5. Multiply the shares you own by the final share price to get their value

      302.501102×$91.16=$27,576.53
  6. 6. Value after 13 years with dividends reinvested: $46,599.06

    1. Divide your money by the share price to see how many shares it buys

      $13,000.00$28.00=464.2857
    2. Each monthly payment buys more shares. So the share count grows by this factor every period

      1+4%12=1.00333333
    3. After 156 payments, the share count has grown by that factor 156 times over

      464.2857×1.00333333156=780.2664
    4. Grow the share price by 6% a year for 13 years

      $28.00×(1+0.06)13=$59.72
    5. Multiply the shares you own by the final share price to get their value

      780.266385×$59.72=$46,599.06
  7. 7. Value after 16 years with dividends reinvested: $34,956.01

    1. Divide your money by the share price to see how many shares it buys

      $10,000.00$64.00=156.25
    2. Each quarterly payment buys more shares. So the share count grows by this factor every period

      1+2%4=1.005
    3. After 64 payments, the share count has grown by that factor 64 times over

      156.25×1.00564=215.0047
    4. Grow the share price by 6% a year for 16 years

      $64.00×(1+0.06)16=$162.58
    5. Multiply the shares you own by the final share price to get their value

      215.004712×$162.58=$34,956.01
  8. 8. Value after 15 years with dividends reinvested: $25,252.30

    1. Divide your money by the share price to see how many shares it buys

      $9,000.00$52.00=173.0769
    2. Each yearly payment buys more shares. So the share count grows by this factor every period

      1+3%1=1.03
    3. After 15 payments, the share count has grown by that factor 15 times over

      173.0769×1.0315=269.6482
    4. Grow the share price by 4% a year for 15 years

      $52.00×(1+0.04)15=$93.65
    5. Multiply the shares you own by the final share price to get their value

      269.648207×$93.65=$25,252.30
  9. 9. Value after 20 years with dividends reinvested: $45,343.83

    1. Divide your money by the share price to see how many shares it buys

      $9,400.00$60.00=156.6667
    2. Each quarterly payment buys more shares. So the share count grows by this factor every period

      1+3%4=1.0075
    3. After 80 payments, the share count has grown by that factor 80 times over

      156.6667×1.007580=284.8269
    4. Grow the share price by 5% a year for 20 years

      $60.00×(1+0.05)20=$159.20
    5. Multiply the shares you own by the final share price to get their value

      284.82689×$159.20=$45,343.83
  10. 10. Value after 18 years with dividends reinvested: $36,873.97

    1. Divide your money by the share price to see how many shares it buys

      $9,000.00$45.00=200
    2. Each yearly payment buys more shares. So the share count grows by this factor every period

      1+3%1=1.03
    3. After 18 payments, the share count has grown by that factor 18 times over

      200×1.0318=340.4866
    4. Grow the share price by 5% a year for 18 years

      $45.00×(1+0.05)18=$108.30
    5. Multiply the shares you own by the final share price to get their value

      340.486612×$108.30=$36,873.97