Question

A young software genius is selling the rights to a new video game he has developed. Two companies have offered him contracts. The first contract offers 8,000 at the end of each year for the next five years, and then 18,000 dollars per year for the following 10 years. The second offers 10 payments, starting with 9,500 at the end of the first year, 12,500 dollars at the end of the second year, and sof forth, increasing by G dollars each year (i.e., the tenth payment will be (9,500 dollars + 9 x G dollars). Assume the genius uses a MARR of 9%. Which contract should the young genius choose? Use a present worth comparison and least common multiple of repeated lives {Perform all calculations using 5 significant figures and round any monetary answers to the nearest cent}.

a.) For one life of project one, the present worth is:

b.) For repeated lives of project one, the present worth is:

c.) For one life of project two the present worth is:

d.) For repeated lives of project two, the present worth is:

Answer #1

Analysis period will be 30 yrs (LCM of 15 & 10)

i = 9%

a. NPW of one life cycle for project 1 = 8000 * (P/A, 9%,5) + 18000 * (P/A, 9%,10) * (P/F, 9%,5)

= 8000 * 3.889651 + 18000 * 6.417658 * 0.649931

= 106195.88

b. NPW for repeated life cycle for project 1 = 106195.88 + 106195.88 *(P/F, 9%,15)

= 106195.88 + 106195.88 * 0.274538

= 135350.69

c. G = 12500 - 9500 = 3000

NPW of one life cycle for project 2 = 9500 * (P/A, 9%,10) + 3000 * (P/G, 9%,10)

= 9500 * 6.417658 + 3000 * 24.372774

= 134086.07

d. NPW for repeated life cycle for project 2 = 134086.07 + 134086.07 * (P/F, 9%,10) + 134086.07 *(P/F, 9%,20)

= 134086.07 + 134086.07 * 0.422411 + 134086.07 * 0.178431

= 214650.60

As the NPW for repeated life cycle for project 2 is more, project 2 should be selected

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