"FILENAME"
is a literal string, not a variable referring to a file name. How about (untested):
FILENAME <- "2005Calc"
LKCalc <- read.csv2(paste0(FILENAME,".csv"))
date <- format(Sys.time(), "%d-%m-%Y")
csvFileName <- paste0(FILENAME,date,".csv")
write.csv(LKCalc, file=csvFileName)
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