Question

Fairweather Company has decided to sell an improved design of surf boards. The boards will sell for $790 per set and have a variable cost of $390 per set. The company has spent $149,000 for a marketing study that determined the company will sell 53,000 sets per year for seven years. The marketing study also determined that the company will lose sales of 9,400 sets of its high-priced boards. The high-priced boards sell at $1,090 and have variable costs of $690. The company will also increase sales of its cheap boards by 10,900 sets. The cheap boards sell for $430 and have variable costs of $225 per set. The fixed costs each year will be $9,090,000. The company has also spent $1,100,000 on research and development for the new boards. The plant and equipment required will cost $28,630,000 and will be depreciated on a straight-line basis. The new boards will also require an increase in net working capital of $1,290,000 that will be returned at the end of the project. The tax rate is 34 percent, and the cost of capital is 10 percent.

 

a. Calculate the payback period.

   

 

b. Calculate the NPV.

 

c. Calculate the IRR.

 

 

Suppose you feel that the values are accurate to within only ±10 percent. What are the best-case and worst-case NPVs? (Hint: The price and variable costs for the two existing sets of boards are known with certainty; only the sales gained or lost are uncertain.) 

 

d. Calculate the Best Case NPV.

 

 

e. Calculate the Worst Case NPV.

 

What is the sensitivity of the NPV to the price and quantity of the new boards?

 

f.   ΔNPV/ΔP =  

 

g.  ΔNPV/ΔQ =