Answer:
$56818.38
Explanation:
To Calculate the Out of Pocket Expenses --
Outflows = Inflows
Let assume out of pocket exps will be x $.
Let Loan taken today in 2020 & to be repaid in 2028 , for 8 years .
Loan Amount with Interest = (Savings of fuel due to plant + Out of Pocket Expenses) discounted at 3%
50,000 * (1.05)^8 = (1500+x)^(1.03)8
73872 = 1900.155+1.2667x
73872-1900.155 = 1.2667x
71971.845 = 1.2667x
x = $ 56818.38
Therefore the Out of Pocket expense is $56818.38
Answer:
Out of Pocket Expense = 56850.41
Explanation:
Let's start solving this question from understanding what does "Out of Pocket Money" means?
For instance, you own a bus service and customers pay you the fare only. But the costs of parking fees, tolls, and fuel are paid by the owner which are considered as "out of pocket money".
Let y be the out of pocket money in dollars.
We know that, total time period is 8 years from 2020, to 2028.
So,
Amount of loan with 5% interest rate = (Out of Pocket money + Fuel Savings) with 3% inflation rate.
50,000 x [tex](1+r)^{n}[/tex] = [tex](y + 1500)^{(1+i)}[/tex]
where, r = interest rate = 5% = 0.05
n = time period = 8
y = Out of Pocket Money
i = inflation rate = 3% = 0.03
So,
50,000 x [tex](1+0.05)^{8}[/tex] = [tex](y + 1500)[/tex] x [tex](1+0.03)^{8}[/tex]
We need y, so let's start solving for y:
73872.77 = [tex](y + 1500)[/tex] x (1.266)
73872.77 = 1.266y + 1900.15
73872.77 - 1900.15 = 1.266y
71972.62 = 1.266y
y = [tex]\frac{71972.62}{1.266}[/tex]
y = 56850.41 will be the Out of Pocket Expense.
