CAGR worksheet

1. Compound annual growth rate: 13.99%

1. Divide the ending value by the beginning value. This growth multiple tells you how many times bigger it got

   $\frac{\mathrm{22,500}}{\mathrm{9,000}}$$=2.5$

2. Raise the multiple to the power 1 ÷ years. This undoes the compounding and gives the growth factor for one year

   ${2.5}^{\frac{1}{7}}$$=1.139852$

3. Subtract 1 and multiply by 100 to turn that factor into a percent per year

   $1.139852-1\times 100$$=\mathrm{13.9852\%}$

4. For comparison, find the total growth over the whole period

   $2.5-1\times 100$$=\mathrm{150\%}$

2. Compound annual growth rate: 20.46%

1. Divide the ending value by the beginning value. This growth multiple tells you how many times bigger it got

   $\frac{\mathrm{16,000}}{\mathrm{7,600}}$$=2.105263$

2. Raise the multiple to the power 1 ÷ years. This undoes the compounding and gives the growth factor for one year

   ${2.105263}^{\frac{1}{4}}$$=1.204555$

3. Subtract 1 and multiply by 100 to turn that factor into a percent per year

   $1.204555-1\times 100$$=\mathrm{20.4555\%}$

4. For comparison, find the total growth over the whole period

   $2.105263-1\times 100$$=\mathrm{110.5263\%}$

3. Compound annual growth rate: 11.48%

1. Divide the ending value by the beginning value. This growth multiple tells you how many times bigger it got

   $\frac{\mathrm{23,000}}{\mathrm{10,750}}$$=2.139535$

2. Raise the multiple to the power 1 ÷ years. This undoes the compounding and gives the growth factor for one year

   ${2.139535}^{\frac{1}{7}}$$=1.114778$

3. Subtract 1 and multiply by 100 to turn that factor into a percent per year

   $1.114778-1\times 100$$=\mathrm{11.4778\%}$

4. For comparison, find the total growth over the whole period

   $2.139535-1\times 100$$=\mathrm{113.9535\%}$

4. Compound annual growth rate: 10.76%

1. Divide the ending value by the beginning value. This growth multiple tells you how many times bigger it got

   $\frac{\mathrm{15,000}}{\mathrm{9,000}}$$=1.666667$

2. Raise the multiple to the power 1 ÷ years. This undoes the compounding and gives the growth factor for one year

   ${1.666667}^{\frac{1}{5}}$$=1.107566$

3. Subtract 1 and multiply by 100 to turn that factor into a percent per year

   $1.107566-1\times 100$$=\mathrm{10.7566\%}$

4. For comparison, find the total growth over the whole period

   $1.666667-1\times 100$$=\mathrm{66.6667\%}$

5. Compound annual growth rate: 5.62%

1. Divide the ending value by the beginning value. This growth multiple tells you how many times bigger it got

   $\frac{\mathrm{18,000}}{\mathrm{11,000}}$$=1.636364$

2. Raise the multiple to the power 1 ÷ years. This undoes the compounding and gives the growth factor for one year

   ${1.636364}^{\frac{1}{9}}$$=1.056244$

3. Subtract 1 and multiply by 100 to turn that factor into a percent per year

   $1.056244-1\times 100$$=\mathrm{5.6244\%}$

4. For comparison, find the total growth over the whole period

   $1.636364-1\times 100$$=\mathrm{63.6364\%}$

6. Compound annual growth rate: 10.94%

1. Divide the ending value by the beginning value. This growth multiple tells you how many times bigger it got

   $\frac{\mathrm{24,000}}{\mathrm{11,600}}$$=2.068966$

2. Raise the multiple to the power 1 ÷ years. This undoes the compounding and gives the growth factor for one year

   ${2.068966}^{\frac{1}{7}}$$=1.10945$

3. Subtract 1 and multiply by 100 to turn that factor into a percent per year

   $1.10945-1\times 100$$=\mathrm{10.945\%}$

4. For comparison, find the total growth over the whole period

   $2.068966-1\times 100$$=\mathrm{106.8966\%}$

7. Compound annual growth rate: 3.43%

1. Divide the ending value by the beginning value. This growth multiple tells you how many times bigger it got

   $\frac{\mathrm{15,000}}{\mathrm{12,250}}$$=1.22449$

2. Raise the multiple to the power 1 ÷ years. This undoes the compounding and gives the growth factor for one year

   ${1.22449}^{\frac{1}{6}}$$=1.03433$

3. Subtract 1 and multiply by 100 to turn that factor into a percent per year

   $1.03433-1\times 100$$=\mathrm{3.433\%}$

4. For comparison, find the total growth over the whole period

   $1.22449-1\times 100$$=\mathrm{22.449\%}$

8. Compound annual growth rate: 8.34%

1. Divide the ending value by the beginning value. This growth multiple tells you how many times bigger it got

   $\frac{\mathrm{19,000}}{\mathrm{11,750}}$$=1.617021$

2. Raise the multiple to the power 1 ÷ years. This undoes the compounding and gives the growth factor for one year

   ${1.617021}^{\frac{1}{6}}$$=1.083393$

3. Subtract 1 and multiply by 100 to turn that factor into a percent per year

   $1.083393-1\times 100$$=\mathrm{8.3393\%}$

4. For comparison, find the total growth over the whole period

   $1.617021-1\times 100$$=\mathrm{61.7021\%}$

9. Compound annual growth rate: 18.5%

1. Divide the ending value by the beginning value. This growth multiple tells you how many times bigger it got

   $\frac{\mathrm{18,000}}{\mathrm{6,500}}$$=2.769231$

2. Raise the multiple to the power 1 ÷ years. This undoes the compounding and gives the growth factor for one year

   ${2.769231}^{\frac{1}{6}}$$=1.185022$

3. Subtract 1 and multiply by 100 to turn that factor into a percent per year

   $1.185022-1\times 100$$=\mathrm{18.5022\%}$

4. For comparison, find the total growth over the whole period

   $2.769231-1\times 100$$=\mathrm{176.9231\%}$

10. Compound annual growth rate: 9.86%

1. Divide the ending value by the beginning value. This growth multiple tells you how many times bigger it got

   $\frac{\mathrm{18,000}}{\mathrm{11,250}}$$=1.6$

2. Raise the multiple to the power 1 ÷ years. This undoes the compounding and gives the growth factor for one year

   ${1.6}^{\frac{1}{5}}$$=1.098561$

3. Subtract 1 and multiply by 100 to turn that factor into a percent per year

   $1.098561-1\times 100$$=\mathrm{9.8561\%}$

4. For comparison, find the total growth over the whole period

   $1.6-1\times 100$$=\mathrm{60\%}$