Question

In: Finance

The Ashton Group is developing a new product line. Initial costs for the line are $83191....

The Ashton Group is developing a new product line. Initial costs for the line are $83191. Annual utilities will be $29917. The company plans to concentrate on marketing for the first 3 years at a cost of $11746 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 $453436 at the end of year 6 and profits will continue to increase by 18% each subsequent year.

The new product line will require 7 employees for the first 8 years. The company will then hire 3 additional employees for the remainder of the product line lifespan. Employees are paid an average of $52594 per year. Using a lifespan of 18 years and a nominal annual interest rate of 6% compounded annually, what is the equivalent uniform annual worth of the new product line?

Notes: Count the years carefully when calculating employee expense after the additional employees are hired. Count the years carefully when calculating the number of years of profit.

Solutions

Expert Solution

EUAC=NPV*A/P,6%,18 =
$296,987.70

WORKINGS

Year Cash flow Utilities Marketing Profits Employee cost Total Cash flows
0 -83191 -83191
1 -29917 -11746 -368158 -409821
2 -29917 -11746 -368158 -409821
3 -29917 -11746 -368158 -409821
4 -29917 -368158 -398075
5 -29917 -368158 -398075
6 -29917 453436 -368158 55361
7 -29917 535054.5 -368158 136979.48
8 -29917 631364.3 -368158 233289.2864
9 -29917 745009.9 -525940 189152.858
10 -29917 879111.6 -525940 323254.6324
11 -29917 1037352 -525940 481494.7262
12 -29917 1224075 -525940 668218.0369
13 -29917 1444409 -525940 888551.5436
14 -29917 1704402 -525940 1148545.081
15 -29917 2011194 -525940 1455337.456
16 -29917 2373209 -525940 1817352.458
17 -29917 2800387 -525940 2244530.161
18 -29917 3304457 -525940 2748599.85
NPV $3,214,152.58
EUAC $296,987.70

FORMULAE USED


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