foutz corporation has entered into a 8 year lease for a piece of equipment. the annual payment under the lease will be $3,600, w
ith payments being made at the beginning of each year. if the discount rate is 17%, the present value of the lease payments is closest
1 answer:
Answer:
Present value of lease payments is $17720.57
Explanation:
The value of lease payments can be treated as an annuity due as the lease payments qualify the criteria of annuity- the payment amount is constant, is paid after a constant interval of time and the time is definite and known.
So, we will use the formula for the present value of annuity due as the payments are being made at the start of the period. The formula for the present value of an annuity due is attached.
PV of lease = 3600 + 3600 * [ {1 - (1 + 0.17)^-(8-1)} / 0.17 ]
PV of lease = $17720.56848 rounded off to $17720.57
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Answer:
Answer is explained in the explanation section below.
Explanation:
Data Given:
Material Cost Per Trailer = $500
Material Cost plus Profit Per Trailer (15%) = $500 + 75 = $575
Selling Price = $1000
Labor Cost Remaining Per Trailer = $425
Formula to Calculate the number of Trailers:
X = X1 ()
Where,
N = number of Trailers
S = Slope Parameter
X = $425
X1 = $700
So, First we need to find the slope parameter, in order to calculate the number of trailers to be built.
S =
where, α = 0.85 rate of improvement.
Plugging in the values into the formula, we get:
S =
S = -0.234
Now, we can easily find the number of trailers.
X = X1 ()
Plugging in the values,
425 = 700 x ()
Solving For N, we get:
N = 8.4 Trailers
N = 9 Trailers.
Hence, 9 Trailers must be built in order to realize this rate of profit.