then date -v -'$i'd +'%Y-%m-%d' code example

Example 1: runtime=$(date +\%Y\%m\%d\%H\%M\%S)

#   Found at https://zxq9.com/archives/795
#
cat << EOD
        Format/result           |       Command              |          Output
--------------------------------+----------------------------+------------------------------
YYYY-MM-DD                      | date -I                    | $(date -I)
YYYY-MM-DD_hh:mm:ss             | date +%F_%T                | $(date +%F_%T)
YYYYMMDD_hhmmss                 | date +%Y%m%d_%H%M%S        | $(date +%Y%m%d_%H%M%S)
YYYYMMDD_hhmmss (UTC version)   | date --utc +%Y%m%d_%H%M%SZ | $(date --utc +%Y%m%d_%H%M%SZ)
YYYYMMDD_hhmmss (with local TZ) | date +%Y%m%d_%H%M%S%Z      | $(date +%Y%m%d_%H%M%S%Z)
YYYYMMSShhmmss                  | date +%Y%m%d%H%M%S         | $(date +%Y%m%d%H%M%S)
YYYYMMSShhmmssnnnnnnnnn         | date +%Y%m%d%H%M%S%N       | $(date +%Y%m%d%H%M%S%N)
YYMMDD_hhmmss                   | date +%y%m%d_%H%M%S        | $(date +%y%m%d_%H%M%S)
Seconds since UNIX epoch:       | date +%s                   | $(date +%s)
Nanoseconds only:               | date +%N                   | $(date +%N)
Nanoseconds since UNIX epoch:   | date +%s%N                 | $(date +%s%N)
ISO8601 UTC timestamp           | date --utc +%FT%TZ         | $(date --utc +%FT%TZ)
ISO8601 UTC timestamp + ms      | date --utc +%FT%T.%3NZ     | $(date --utc +%FT%T.%3NZ)
ISO8601 Local TZ timestamp      | date +%FT%T%Z              | $(date +%FT%T%Z)
YYYY-MM-DD (Short day)          | date +%F\(%a\)             | $(date +%F\(%a\))
YYYY-MM-DD (Long day)           | date +%F\(%A\)             | $(date +%F\(%A\))
EOD

Example 2: runtime=$(date +\%Y\%m\%d\%H\%M\%S)

# -d date arithmetic
# Display the time described by the user friendly string, not by now.
date -d "+5 days"
date -d "+7 weeks +2 days"
date -d "last Wednesday 2 pm"