A loan of $$$$3$ comma $000$ for a$$ new, high$-$end laptop computer is to be repaid in $14$end$-$of$-$month payments$($starting one month from$$ now$).$ The monthly payments are determined as follows.

Loan principal

$$$$3$ comma $000$

Interest for $14$ months at $1\mathrm{.}7\%$ per month

$714\mathrm{.}00$

Loan application fee

$54\mathrm{.}94$

Total

$$$$3768\mathrm{.}94$

Monthly payment$=$$$3768\mathrm{.}94/14=$$$269\mathrm{.}21$

What nominal and effective interest rates per year are actually being$$ paid? Hint: Draw a$$ cash$-$flow diagram from the perspective of the lender.