Question

Champion Bakers uses specialized ovens to bake its bread. One oven costs $689,000 and lasts about 4 years before it needs to be replaced. The annual operating cost per oven is $41,000. What is the equivalent annual cost of an oven if the required rate of return is 13 percent?

A. ​-$272,638
B. ​-$248,313
C. ​-$232,407
D. ​-$200,561
E. ​$196,210

Answer 1

A. ​-$272,638

Step-by-step explanation:

Firstly, we need to calculate the total present value of initial investment plus all operating cost of the project. Then we will use that amount to solve for equal-amount annual operating cost.

Total present value of the project is -689,000 - 41,000/(1+13%) - 41,000/(1+13%)^2 + ... + 41,000/(1+13%)^4, or -810,953.32 (negative sign mean cost).

So, the equivalent annual cost of an oven is -272,638.

The equation solving problem can be made easily using Excel or BA II plus calculator.