Assume the continuously compounded risk$-$free rate is $5\%,$ the annual storage cost

of gas commodity is $10\%,$ and its convenience yield is $0.$

Suppose there is no uncertainty. What is the minimum growth rate of gas price in one

month such that it is optimal to store gas now and sell in one month?

Hypothetically, if the growth rate of gas price without storage is $2\%$ in one month. Would

people store and what would be the growth rate of gas price eventually?