In response to changing regulations and consumer preferences, an egg producer is planning to construct new cage$-$free egg facility. To finance the expansion, they would take out a $$4\mathrm{.}4$ million loan with an interest rate of $4\mathrm{.}75\%,$ fully amortized over $10$ years.

$($i$)$What would be the annual loan payment?

a$.$$$209,000$

b$.$$$449,636$

c$.$$$562,923$

d$.$$$458,981$

ENTER RESPONSE HERE:

$($ii$)$What would be the interest payment for year $2?$

a$.$$$209,000$

b$.$$$452,923$

c$.$$$174,579$

d$.$$$192,189$

ENTER RESPONSE HERE:

$($iii$)$What would be the tax savings from interest in year $2$ if the marginal tax rate is $25\%?$

a$.$$$48,047$

b$.$$$43,644$

c$.$$$52,250$

d$.$$$50,225$

ENTER RESPONSE HERE:

$($iv$)$What is the remaining principal after year $2?$

a$.$$$3,675,343$

b$.$$$370,734$

c$.$$$377,304$

d$.$ $$4,046,077$

ENTER RESPONSE HERE: