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How do you calculate the compounded growth rate where:

    base year is 2,969 and current year is 20,912 after 25 years. 

 Jan 19, 2016
 #1
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Use the formula:  A  =  Pert

where     A = final amount = 20 912     P = initial amount = 2 969

               r = rate (as a decimal)           t  =  time  = 25

Substituting:     20 912  =  2 969e25r

Dividing both sides by 2 969:     7.043434  =  e25r

Take the ln of both sides:         ln(7.0434)  =  ln(e25r)

                                                  ln(7.0434)  =25r

Divide by 25:     r  =  ln(7.0434) / 25     --->     r  =  0.078     --->     r  =  7.8%  (approx)

 Jan 19, 2016
 #2
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Geno3141:

 Interest rates on investments are NOT quoted as "compounded continuosly", UNLESS sprcifically stated so. How is your computed rate of: e^7.8% different from the annual compound rate that I computed as 8.121%?

 Jan 19, 2016

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