Venezuela's political crisis during the late $2010$s resulted in hyperinflation. By November of $2018,$ the annual inflation rate stood at $1,300,000\%!$ Prices were doubling every $19$ days on average. The government had to issue new currency that chopped five zeros off the denominations so people did not have to carry around so many bills.

a$.$ Consider a loaf of bread with a price of $$4$ at the beginning of the year. With an inflation rate of $1,300,000\%$ per year, what would the loaf's price be at the end of the year in order to "keep pace" with inflation?

b$.$ In the scenario in part $($a$),$ what percentage of its purchasing power did a fixed nominal amount of currency lose at the end of the year?

c$.$ What monthly percent price increase would result in a $1,300,000\%$ overall price increase during the year?