Heavy Mechanical Complex $($HMC$)$ acquired a giant lathe machine under a capital lease agreement. HMC pays the lessor $$2400$ at the beginning of every $3$ months for $5$ years. If HMC can obtain $5-$year financing at $10\%$ compounding quarterly, what long$-$term lease liability will HMC initially record?

a

$$37414$

b

$$48000$

c

$$61307$

d

$$62840$

e

$$38349$