Question $4(2$ points$)$

Scheduled payments of $$2,000$ due today and $$4,000$ due in nine months are to be replaced by two payments$$3,000$ due in fifteen months and a second payment of undetermined size due in twenty$-$four months. What must the second payment be for the two streams to be economically equivalent? Assume that money can earn $1\mathrm{.}75\%$ compounded quarterly.

a $$3,179,80$

b $$4,119\mathrm{.}80$

c $$3,199\mathrm{.}80$

d $$3,319\mathrm{.}80$

e $$3,119\mathrm{.}80$