In: Finance
You are CEO of Rivet Networks, maker of ultra-high performance network cards for gaming computers, and you are considering whether to launch a new product. The product, the Killer X3000, will cost $902,000 to develop up front (year 0), and you expect revenues the first year of $806,000, growing to $1.57 . million the second year, and then declining by 45% per year for the next 3 years before the product is fully obsolete. In years 1 through 5, you will have fixed costs associated with the product of $90,000 per year, and variable costs equal to 50% of revenues.
a. What are the cash flows for the project in years 0 through 5?
b. Plot the NPV profile for this investment using discount rates from 0% to 40% in 10% increments.
c. What is the project's NPV if the project's cost of capital is %9%?
d. Use the NPV profile to estimate the cost of capital at which the project would become unprofitable; that is, estimate the project's IRR.
a. What are the cash flows for the project in years 0 through 5?
Calculate the cash flows below: (Round to the nearest dollar.)
0 |
1 |
|
Revenues |
$0 |
$806,000 |
YOY growth |
||
Variable costs |
||
% of sales |
50% |
|
Fixed costs |
||
Investment |
(902,000) |
|
Total cash flows |
(902,000) |
a. What are the cash flows for the project in years 0 through5? | |||||||||
0 | 1 | 2 | 3 | 4 | 5 | ||||
Revenues | $ - | $ 806,000 | $ 1,570,000 | $ 863,500 | $ 474,925 | $ 261,209 | |||
YOY growth | 95% | -45% | -45% | -45% | |||||
Variable costs | $ (403,000) | $ (785,000) | $ (431,750) | $ (237,463) | $ (130,604) | ||||
% of sales | 50% | 50% | 50% | 50% | 50% | ||||
Fixed costs | $ (90,000) | $ (90,000) | $ (90,000) | $ (90,000) | $ (90,000) | ||||
Investment | $ (902,000) | ||||||||
Total cash flows | $ (902,000) | $ 313,000 | $ 695,000 | $ 341,750 | $ 147,463 | $ 40,604 | |||
b. Plot the NPV profile for this investment using discount rates from 0% to 40% in 10% increments. | |||||||||
Excel formula to calculate NPV = NPV(Discount Rate , range of total cash flows starting from -902000 to 40604) | |||||||||
Discount Rate | NPV | ||||||||
0% | 635,816.88 | ||||||||
10.0% | 308,744.04 | ||||||||
20.0% | 105,563.71 | ||||||||
27.5% | 2,944.07 | ||||||||
37.5% | (91,478.05) | ||||||||
c. What is the project's NPV if the project's cost of capital is %9%? | |||||||||
Discount Rate | NPV | ||||||||
9% | 334,746.31 | ||||||||
d. Use the NPV profile to estimate the cost of capital at which the project would become unprofitable; that is, estimate theproject's IRR. | |||||||||
Discount Rate | NPV | ||||||||
25% | 33,505.51 | ||||||||
28% | (2,784.24) | ||||||||
at approx 28%, the project will be unprofitable | |||||||||