Qualcomm has developed a groundbreaking new CPU chip. The patent on the chip will last 17 years. You expect that the chip’s profits to be $4 million in its first year and that this amount will grow at a rate of 5% per year for the next 17 years. Once the patent expires, Intel will be able to produce the same chip and competition will likely drive profits to zero. What is the present value of the new chip if the interest rate is 8% per year?

$50.74 million

Explanation:

Interest rate per annum = 8%

Number of years = 17

Number of compounding per annum = 1

Interest rate per period (r) = 8%/1 = 8%

Number of period (n) =17 * 1 = 17

Growth rate (g) = 5%

First payment (P) = 4 ($'million)

PV of the new Chip = p/(r-g) * [1 - [(1+g)/(1+r)]^n]

PV of the new Chip = 4/(8%-5%) * [1 - [(1+5%)/(1+8%)]^17]

PV of the new Chip = 4/0.03 * [1 - [1.05/1.08]^17]

PV of the new Chip = 4/0.03 * [1 - 0.972222^17]

PV of the new Chip = 133.333 * (1 - 0.6194589804)

PV of the new Chip = 133.333 * 0.3805410196

PV of the new Chip = 50.7386757663268

PV of the new Chip = $50.74 million

it's actually a very difficult task, due to not many people can make 2 million dollars in 2 years. besides that, to the not-so-realistic ideas, you can create a business. it could be practically anything, but make it into a business that isn't that known yet, you get me? also, lets not forget about stock market. that's where all the good stuff happens. use investments at the beginning and begin to raise up your business or whatever you're going to do. as this is a very non-realistic idea, it's still worth the shot!

muslims control the north africa during the period of 1500 up

to 1800. they made a barrier to prevent further european exploration from

entering the africa from the north. however, the dutch ware still able to move

toward the interior with having south africa as one of the routes leading to

the east for trading with asia.