Answer: The $4.05 market price
Explanation: Air-tite can buy or sell Hydrol at $4.05. If they decide to accept the order, there has to be a higher return on the use of Hydrol in the return than they would get from selling Hydrol as is.
There may also be an opportunity cost to using the product for this special order if there is an order that would yield higher returns for the use of Hydrol.
The quantity that would remain after making the special order does not have any impact on the decision making process, as they are considering just one order that requires Hydrol.
The purchase price is not relevant as they cannot purchase Hydrol at that price in the present. The total quantity is not relevant either as they have enough for the order.
The future amount of an investment with compound interest can be calculated through the equation,
F = P x (1 + ieff)^n
where F is the future amount, P is the current value of the money, ieff is the effective interest (rate per year), and n is the number of years.
From the equation, all are given except for the effective interest, i. Now, substituting the known values,
14,398.87 = (7,775) x (1 + ieff)^14
The value of ieff from the equation is 0.044999.
Since the value of the ieff when translated to percentage is equal to 4.5% as well, the interest rate is compounded yearly.
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Answer:
PV(after-tax net return in 7th year) = 70.55 (Approx)
Explanation:
Given:
Number of year = 7
Pre-tax net returns (Fn) = $100
Growth rate = 4% = 0.04
Inflation = 3% = 0.03
Marginal tax rate = 30% = 0.3
Discount rate = 10% = 0.1
Computation:
Fn = Fo(1+g)ⁿ = 100(1.04)⁷
Fn = 131.6
Nominal net returns = 131.6(1.03)⁷
Nominal net returns = 161.85
After tax return = 161.85 (1 - 0.3)
After tax return = 113.30
After-tax, risk adjusted discount rate = 0.1(1-0.3) = 7%
PV(after-tax net return in 7th year) = 113.30
(1+0.07)⁻⁷
PV(after-tax net return in 7th year) = 70.55 (Approx)
Answer:
B. - 5.71%
Explanation:
Given that
Purchase price = 1000 × 35 = 35000
Selling price = 1100 × 30 = 33000
Recall that
ROI = Net profit/total investment × 100
And that
Net profit = selling price - purchase price
= 33000 - 35000
= -2000
Therefore,
ROI = -2000/35000 × 100
= - 0.05714 × 100
= - 5.71 %
Thus, total return on investment is -5.71%