Given a nominal annual interest rate of $7\mathrm{.}5\%$ convertible every five days, determine the sum of the equivalent:

$($i$)$ constant force of interest; and

$($ii$)$ nominal annual discount rate compounded quarterly.

Note: There are $365$ days in a year. Give your answer as a decimal rounded to four places $($i$.$e$.$

Please note that the required answer is a decimal and not a percentage.