Calculating compound interest with vector of rates

Question

I\'m trying to see if there is a way to vectorize a calculation I performed. I searched for this answer and couldn\'t find what I needed.

I have a vector of growth r

Answer 1

This is a "cumulative product", so ?cumprod is what you need:

1000000 * cumprod(1 + RateVector)
# [1] 1020000 1050600 1092624 1147255 1216091 1276895 1327971 1367810 1395166
#[10] 1409118

cbind(AmountVector, newresult = 1000000 * c(1, cumprod(1 + RateVector)))
#   Principal newresult
#1    1000000   1000000
#2    1020000   1020000
#3    1050600   1050600
#4    1092624   1092624
#5    1147255   1147255
#6    1216091   1216091
#7    1276895   1276895
#8    1327971   1327971
#9    1367810   1367810
#10   1395166   1395166
#11   1409118   1409118