Question

In: Economics

The Ashton Group is developing a new product line. Initial costs for the line are $94693....

The Ashton Group is developing a new product line. Initial costs for the line are $94693. Annual utilities will be $34518. The company plans to concentrate on marketing for the first 2 years at a cost of $11430 per year. Profits are anticipated to be zero for the first few years. It is estimated the product line will finally have a profit of $469315 at the end of year 6 and profits will continue to increase by 20% each subsequent year. The new product line will require 7 employees for the first 8 years. The company will then hire 5 additional employees for the remainder of the product line lifespan. Employees are paid an average of $59104 per year. Using a lifespan of 17 years and a nominal annual interest rate of 4% compounded annually, what is the equivalent uniform annual worth of the new product line?

Solutions

Expert Solution

Investment = 94693

Annual utilities = 34518

marketing cost for 2 year = 11430

Profit from 6th yr =469315 increasing at 20% per year

Cost of each employee = 59104

I =4% = 0.04

t = 17 yrs

We need to find net present value and then using factor (A/P, 4%,17yrs) convert it to annual series

using excel

Year Invesetment Employee payment Utilities Profit Marketing costs Net Cash Flow Discount Present value
0 -94,693.00 -94,693.00 1.000000 -94,693.00
1 -4,13,728.00 -34,518.00 -11,430.00 -4,59,676.00 0.961538 -4,41,996.15
2 -4,13,728.00 -34,518.00 -11,430.00 -4,59,676.00 0.924556 -4,24,996.30
3 -4,13,728.00 -34,518.00 -4,48,246.00 0.888996 -3,98,489.06
4 -4,13,728.00 -34,518.00 -4,48,246.00 0.854804 -3,83,162.56
5 -4,13,728.00 -34,518.00 -4,48,246.00 0.821927 -3,68,425.54
6 -4,13,728.00 -34,518.00 4,69,315.00 21,069.00 0.790315 16,651.14
7 -4,13,728.00 -34,518.00 5,63,178.00 1,14,932.00 0.759918 87,338.87
8 -4,13,728.00 -34,518.00 6,75,813.60 2,27,567.60 0.730690 1,66,281.42
9 -7,09,248.00 -34,518.00 8,10,976.32 67,210.32 0.702587 47,221.08
10 -7,09,248.00 -34,518.00 9,73,171.58 2,29,405.58 0.675564 1,54,978.19
11 -7,09,248.00 -34,518.00 11,67,805.90 4,24,039.90 0.649581 2,75,448.23
12 -7,09,248.00 -34,518.00 14,01,367.08 6,57,601.08 0.624597 4,10,735.69
13 -7,09,248.00 -34,518.00 16,81,640.50 9,37,874.50 0.600574 5,63,263.12
14 -7,09,248.00 -34,518.00 20,17,968.60 12,74,202.60 0.577475 7,35,820.25
15 -7,09,248.00 -34,518.00 24,21,562.32 16,77,796.32 0.555265 9,31,620.74
16 -7,09,248.00 -34,518.00 29,05,874.78 21,62,108.78 0.533908 11,54,367.55
17 -7,09,248.00 -34,518.00 34,87,049.73 27,43,283.73 0.513373 14,08,328.48
Net Present value 38,40,292.15

Now for annual worth = Present worth * (A/P,4%,17yrs)

= 3840292.15 * 0.0821985

= 315666.34

Showing formula in excel

Year Invesetment Employee payment Utilities Profit Marketing costs Net Cash Flow Discount Present value
0 -94693 =B3+C3+D3+E3+F3 =1/(1+0.04)^A3 =G3*H3
1 =7*-59104 -34518 -11430 =B4+C4+D4+E4+F4 =1/(1+0.04)^A4 =G4*H4
2 =7*-59104 -34518 -11430 =B5+C5+D5+E5+F5 =1/(1+0.04)^A5 =G5*H5
3 =7*-59104 -34518 =B6+C6+D6+E6+F6 =1/(1+0.04)^A6 =G6*H6
4 =7*-59104 -34518 =B7+C7+D7+E7+F7 =1/(1+0.04)^A7 =G7*H7
5 =7*-59104 -34518 =B8+C8+D8+E8+F8 =1/(1+0.04)^A8 =G8*H8
6 =7*-59104 -34518 469315 =B9+C9+D9+E9+F9 =1/(1+0.04)^A9 =G9*H9
7 =7*-59104 -34518 =E9*(1+0.2) =B10+C10+D10+E10+F10 =1/(1+0.04)^A10 =G10*H10
8 =7*-59104 -34518 =E10*(1+0.2) =B11+C11+D11+E11+F11 =1/(1+0.04)^A11 =G11*H11
9 =(7+5)*-59104 -34518 =E11*(1+0.2) =B12+C12+D12+E12+F12 =1/(1+0.04)^A12 =G12*H12
10 =(7+5)*-59104 -34518 =E12*(1+0.2) =B13+C13+D13+E13+F13 =1/(1+0.04)^A13 =G13*H13
11 =(7+5)*-59104 -34518 =E13*(1+0.2) =B14+C14+D14+E14+F14 =1/(1+0.04)^A14 =G14*H14
12 =(7+5)*-59104 -34518 =E14*(1+0.2) =B15+C15+D15+E15+F15 =1/(1+0.04)^A15 =G15*H15
13 =(7+5)*-59104 -34518 =E15*(1+0.2) =B16+C16+D16+E16+F16 =1/(1+0.04)^A16 =G16*H16
14 =(7+5)*-59104 -34518 =E16*(1+0.2) =B17+C17+D17+E17+F17 =1/(1+0.04)^A17 =G17*H17
15 =(7+5)*-59104 -34518 =E17*(1+0.2) =B18+C18+D18+E18+F18 =1/(1+0.04)^A18 =G18*H18
16 =(7+5)*-59104 -34518 =E18*(1+0.2) =B19+C19+D19+E19+F19 =1/(1+0.04)^A19 =G19*H19
17 =(7+5)*-59104 -34518 =E19*(1+0.2) =B20+C20+D20+E20+F20 =1/(1+0.04)^A20 =G20*H20
Net Present value =SUM(I3:I20)

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