Could someone tell me the rate for a $6000

gift that grew to 7,000,000 over 200 years?

2 answers

7.000,000=6000*(1+p)^200

log(7.000,000)=log(6000)+log[(1+p)^200)]

log(7.000,000)=log(6000)+200*log(1+p)

log(7.000,000)-log(6000)=200*log(1+p)

Divide both sides with 200

[log(7.000,000)-log(6000)]/200=log(1+p)

log(1+p)=[log(7.000,000)-log(6000)]/200

log(1+p)=(6.8450980400142568307122162585926-3.7781512503836436325087667979796)/200

log(1+p)=3.066946789630613198203449460613/200

log(1+p)=0.015334733948153065991017247303065

1+p=10^0.015334733948153065991017247303065

1+p=1.0359403135706036366295577484724

p=1.0359403135706036366295577484724-1

p=o.0359403135706036366295577484724

p=1.0359403135706036366295577484724*100%

p=3.5940313570603636629557748472399%
Correction:

p=0.0359403135706036366295577484724*100%

p=3.5940313570603636629557748472399%