Problem 4 (15%) A firm expects to keep a certain production for the coming 5 years. On Pa certain production for the coming 5 years. One of the machines used in the te worn, and therefore the firm expects that it has to pay repair and maintance costs of DKK 12,000 each year if it does not replace the machine. thus considers whether to replace the machine. A new machine costs DKK 100,000 and Il not require any repairment or maintenance costs. Further, the firm expects that such a machine can be sold at a price of DKK 60.000 when it is no longer in use. The firm has set up the following table of future payments for each of the two alternatives: Year Keep Replace 1 -12.000 2 -12.000 0 3 -12,000 4 -12,000 -12,000 -100,000 1 5 0 60,000 0 0 a) Calculate the net present value for each alternative when the firm's discount rate is 5%. b) Which alternative must the firm choose according to the net present value (NPV) criterion? c) Would the firm's decision be different, if its discount rate were 10%?!