How donfederal student loans differ from private student loans
1 answer:
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Answer:
Nominal interest rate = 12.23%
Explanation:
Given - 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 $526.83 at the end of each month over years 2, 3, and
4 (first payment is in 13th month).
To find - a. What nominal interest rate is Aerotron paying on the loan.
Proof -
As given ,
Price - $15,000
Down Payment - $1,000
⇒Loan Payment = $15,000 - $1,000
As given,
He will not pay for the entire first year. After that he will pay $526.83 for next 3 years.
Now,
Interest rate for 1 month = r %
So,
Loan after 1 year = 14,000( 1 + r)¹²
And
Annuity factor =
and t = 3 years = 36 months
Now,
As we know,
Monthly loan payment =
⇒$526.83 = 14,000( 1 + r)¹² /
By solving we get
r = 1.019%
Now,
Nominal interest rate = 1.019%×12 = 12.23%
Answer: c. $81,202
Explanation:
The inflow will be annual and constant which makes it an annuity. Given the discount rate of 12% and a useful life of 8 years, the present value interest discount factor based on the table is = 4.968.
Option 1 present value
= 48,410 * 4.968
= $240,500.88
Option 2 present value
= 50,427 * 4.968
= $250,521.34
Option 3 present value
= 81,202 * 4.968
= $403,412
Option 3 is the closest option with the difference being down to rounding errors. The annual inflow would have to be $81,202 to make the investment in the equipment financially attractive.
