Question

Suppose a farmer wants to borrow $176,590.00 to buy a tract of land. The BCS bank will make a 22-year loan fully amortized at 6.19% (annual payments). A $443.00 loan fee and stock purchase is required. The borrower stock requirement is the lesser of $1,000 or 3.00% of loan amount.

(i) Calculate the loan principal.
a. $181,521.05 b. $178,089.12
c. $182,508.25 d. $178,033.00
Enter Response Here:
(ii) Calculate the required stock purchase.
a. $5,340.99 b. $1,000.00
c. $5,274.64 d. $1,760.24
Enter Response Here:
(iii) Calculate the annual loan payments.
a. $15,032.59 b. $15,037.33
c. $15,410.47 d. $15,327.12

Answer 1

A Farmer

i) Loan principal = $178,033 ($176,590 + $443 + $1,000)

ii) Required stock purchase = $1,000

iii) Annual loan payment (fully amortized at 6.19%) is:

= a. $15,032.59

Step-by-step explanation:

a) Data and Calculations:

Required loan amount = $176,590.00

Period of loan = 22 years

Interest rate = 6.19%

Loan fee = $443.00

Stock purchase = lesser of $1,000 or 3.00% of loan amount

= lesser of $1,000 or $5,297.70 ($176,590 * 3%)

i) Loan principal = $178,033 ($176,590 + $443 + $1,000)

ii) Required stock purchase = $1,000

iii) Annual loan payment (fully amortized at 6.19%) = $15,030 approximately :

(# of periods) 22

I/Y (Interest per year) 6.19

PV (Present Value) 178033

FV (Future Value) 0

PMT = $15,030.02

Sum of all periodic payments $330,660.34

Total Interest $152,627.34