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Savings Goal 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.
    • Savings goal: $18,000
    • Already saved: $2,750
    • Expected annual return: 5%
    • Time to reach goal: 2 years

    Find: Monthly deposit needed

  2. Problem 2.
    • Savings goal: $16,000
    • Already saved: $1,700
    • Expected annual return: 4%
    • Time to reach goal: 4 years

    Find: Monthly deposit needed

  3. Problem 3.
    • Savings goal: $22,500
    • Already saved: $2,200
    • Expected annual return: 3%
    • Time to reach goal: 2 years

    Find: Monthly deposit needed

  4. Problem 4.
    • Savings goal: $22,500
    • Already saved: $2,500
    • Expected annual return: 6%
    • Time to reach goal: 4 years

    Find: Monthly deposit needed

  5. Problem 5.
    • Savings goal: $24,000
    • Already saved: $2,750
    • Expected annual return: 5%
    • Time to reach goal: 2 years

    Find: Monthly deposit needed

  6. Problem 6.
    • Savings goal: $22,000
    • Already saved: $2,900
    • Expected annual return: 4%
    • Time to reach goal: 3 years

    Find: Monthly deposit needed

  7. Problem 7.
    • Savings goal: $13,000
    • Already saved: $2,400
    • Expected annual return: 4%
    • Time to reach goal: 3 years

    Find: Monthly deposit needed

  8. Problem 8.
    • Savings goal: $18,000
    • Already saved: $2,250
    • Expected annual return: 4%
    • Time to reach goal: 3 years

    Find: Monthly deposit needed

  9. Problem 9.
    • Savings goal: $25,000
    • Already saved: $2,600
    • Expected annual return: 3%
    • Time to reach goal: 3 years

    Find: Monthly deposit needed

  10. Problem 10.
    • Savings goal: $16,000
    • Already saved: $2,000
    • Expected annual return: 4%
    • Time to reach goal: 3 years

    Find: Monthly deposit needed

Answer key: Savings Goal worksheet

  1. 1. Monthly deposit needed: $594.04

    1. Count the monthly deposits (n): 12 for every year

      n=2×12=24
    2. Find the monthly growth rate (i): the yearly return as a decimal, divided by 12, because growth is added every month

      i=0.0512=0.00416667
    3. Work out what your current savings grow to on their own by the goal date

      $2,750.00×(1+0.00416667)24=$3,038.59
    4. Subtract that from the goal to find the shortfall

      $18,000.00−$3,038.59=$14,961.41
    5. Spread the shortfall over the months. Each deposit also grows, so the formula needs a little less than an even split

      $14,961.41×0.00416667(1+0.00416667)24−1=$594.04
  2. 2. Monthly deposit needed: $269.55

    1. Count the monthly deposits (n): 12 for every year

      n=4×12=48
    2. Find the monthly growth rate (i): the yearly return as a decimal, divided by 12, because growth is added every month

      i=0.0412=0.00333333
    3. Work out what your current savings grow to on their own by the goal date

      $1,700.00×(1+0.00333333)48=$1,994.44
    4. Subtract that from the goal to find the shortfall

      $16,000.00−$1,994.44=$14,005.56
    5. Spread the shortfall over the months. Each deposit also grows, so the formula needs a little less than an even split

      $14,005.56×0.00333333(1+0.00333333)48−1=$269.55
  3. 3. Monthly deposit needed: $816.27

    1. Count the monthly deposits (n): 12 for every year

      n=2×12=24
    2. Find the monthly growth rate (i): the yearly return as a decimal, divided by 12, because growth is added every month

      i=0.0312=0.0025
    3. Work out what your current savings grow to on their own by the goal date

      $2,200.00×(1+0.0025)24=$2,335.87
    4. Subtract that from the goal to find the shortfall

      $22,500.00−$2,335.87=$20,164.13
    5. Spread the shortfall over the months. Each deposit also grows, so the formula needs a little less than an even split

      $20,164.13×0.0025(1+0.0025)24−1=$816.27
  4. 4. Monthly deposit needed: $357.20

    1. Count the monthly deposits (n): 12 for every year

      n=4×12=48
    2. Find the monthly growth rate (i): the yearly return as a decimal, divided by 12, because growth is added every month

      i=0.0612=0.005
    3. Work out what your current savings grow to on their own by the goal date

      $2,500.00×(1+0.005)48=$3,176.22
    4. Subtract that from the goal to find the shortfall

      $22,500.00−$3,176.22=$19,323.78
    5. Spread the shortfall over the months. Each deposit also grows, so the formula needs a little less than an even split

      $19,323.78×0.005(1+0.005)48−1=$357.20
  5. 5. Monthly deposit needed: $832.27

    1. Count the monthly deposits (n): 12 for every year

      n=2×12=24
    2. Find the monthly growth rate (i): the yearly return as a decimal, divided by 12, because growth is added every month

      i=0.0512=0.00416667
    3. Work out what your current savings grow to on their own by the goal date

      $2,750.00×(1+0.00416667)24=$3,038.59
    4. Subtract that from the goal to find the shortfall

      $24,000.00−$3,038.59=$20,961.41
    5. Spread the shortfall over the months. Each deposit also grows, so the formula needs a little less than an even split

      $20,961.41×0.00416667(1+0.00416667)24−1=$832.27
  6. 6. Monthly deposit needed: $490.57

    1. Count the monthly deposits (n): 12 for every year

      n=3×12=36
    2. Find the monthly growth rate (i): the yearly return as a decimal, divided by 12, because growth is added every month

      i=0.0412=0.00333333
    3. Work out what your current savings grow to on their own by the goal date

      $2,900.00×(1+0.00333333)36=$3,269.09
    4. Subtract that from the goal to find the shortfall

      $22,000.00−$3,269.09=$18,730.91
    5. Spread the shortfall over the months. Each deposit also grows, so the formula needs a little less than an even split

      $18,730.91×0.00333333(1+0.00333333)36−1=$490.57
  7. 7. Monthly deposit needed: $269.62

    1. Count the monthly deposits (n): 12 for every year

      n=3×12=36
    2. Find the monthly growth rate (i): the yearly return as a decimal, divided by 12, because growth is added every month

      i=0.0412=0.00333333
    3. Work out what your current savings grow to on their own by the goal date

      $2,400.00×(1+0.00333333)36=$2,705.45
    4. Subtract that from the goal to find the shortfall

      $13,000.00−$2,705.45=$10,294.55
    5. Spread the shortfall over the months. Each deposit also grows, so the formula needs a little less than an even split

      $10,294.55×0.00333333(1+0.00333333)36−1=$269.62
  8. 8. Monthly deposit needed: $405.00

    1. Count the monthly deposits (n): 12 for every year

      n=3×12=36
    2. Find the monthly growth rate (i): the yearly return as a decimal, divided by 12, because growth is added every month

      i=0.0412=0.00333333
    3. Work out what your current savings grow to on their own by the goal date

      $2,250.00×(1+0.00333333)36=$2,536.36
    4. Subtract that from the goal to find the shortfall

      $18,000.00−$2,536.36=$15,463.64
    5. Spread the shortfall over the months. Each deposit also grows, so the formula needs a little less than an even split

      $15,463.64×0.00333333(1+0.00333333)36−1=$405.00
  9. 9. Monthly deposit needed: $588.92

    1. Count the monthly deposits (n): 12 for every year

      n=3×12=36
    2. Find the monthly growth rate (i): the yearly return as a decimal, divided by 12, because growth is added every month

      i=0.0312=0.0025
    3. Work out what your current savings grow to on their own by the goal date

      $2,600.00×(1+0.0025)36=$2,844.53
    4. Subtract that from the goal to find the shortfall

      $25,000.00−$2,844.53=$22,155.47
    5. Spread the shortfall over the months. Each deposit also grows, so the formula needs a little less than an even split

      $22,155.47×0.0025(1+0.0025)36−1=$588.92
  10. 10. Monthly deposit needed: $360.00

    1. Count the monthly deposits (n): 12 for every year

      n=3×12=36
    2. Find the monthly growth rate (i): the yearly return as a decimal, divided by 12, because growth is added every month

      i=0.0412=0.00333333
    3. Work out what your current savings grow to on their own by the goal date

      $2,000.00×(1+0.00333333)36=$2,254.54
    4. Subtract that from the goal to find the shortfall

      $16,000.00−$2,254.54=$13,745.46
    5. Spread the shortfall over the months. Each deposit also grows, so the formula needs a little less than an even split

      $13,745.46×0.00333333(1+0.00333333)36−1=$360.00