Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Aerotron Electronics has just bought a used delivery truck for $15,000. The small business paid $1,000 down and financed the rest, with the agreement to pay nothing for the entire first year and then to pay $ 506.83 at the end of each month over years 2, 3, and 4 (first payment is in thirteenth month).
a. What nominal interest rate is Aerotron paying on the loan? %
b. What effective interest rate are they paying? %
c. How much of the fourteenth month's payment is interest? How much is principal? payment interest = $ , and principal = $
d. How much of the eighteenth month's payment is interest? How much is principal? payment interest = $ , and principal = $
e. How much of the twenty-second month's payment is interest? How much is principal? payment interest = $ , and principal= $

Sagot :

batolisis

Answer:

a) 12.23%

b)  12.94%

c) 14th month payment interest = $157.33

   14th month principal =  $369.50

d)  18th month payment interest = $142.04

    18th month payment interest = $384.79

e) 22nd month payment interest = $126.12

   22nd month payment interest = $400.71

Explanation:

price of truck = $15000

down payment = $1000

Loan amount = $14,000

assume monthly interest rate = r%

Loan amount after 1 year will be = 14000 * (1+r%)12

next we will determine the annuity factor = [  (1/r)-[(1/r)*(1/ (1+r)t)] ]

r = periodic interest rate , t = number of payments

monthly loan payment = $14000*(1+r%)12 / [  (1/r)-[(1/r)*(1/ (1+r)36)] ]

hence r = 1.019%

a) nominal interest rate

=  1.019% *12 = 12.23%

b) effective interest rate

= (1+1.019%)^12 -1 = 12.94%

attached below is the Amortization schedule

c) 14th month payment interest = $157.33

    14th month principal =  $369.50

d) 18th month payment interest = $142.04

    18th month payment interest = $384.79

e) 22nd month payment interest = $126.12

   22nd month payment interest = $400.71

View image batolisis
View image batolisis
View image batolisis
View image batolisis
View image batolisis
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.