$[$Ch $6]$ Rose is considering buying an asset today that will make a payment every month forever. The first payment of $$3\mathrm{.}67$ will be made later today $($after she buys it$),$ and subsequent payments grow at a constant rate. Given the required return of $1\mathrm{.}80\%$ per month, the most Rose is willing to pay for this asset is $$355\mathrm{.}82.$ What must be the monthly growth rate of payments?

$($to nearest $0\mathrm{.}001\%)$