Question #60697

Finance question: Machine A has a value of 26 and will produce 30 in prosperity and can be abandoned for 19. Machine B has a value of 24 and will produce 30 in prosperity and 15 in a bad economy. Is Machine A worth 2 more? Please use a discount rate of 8%.

Expert's answer

If Machine A has a value of 26 and will produce 30 in prosperity and can be abandoned for 19, then with a discount rate of 8% the net present value of Machine A is:

NPV = -26 + 0.5*(30 + 19)/0.08 = $280.25.

If Machine B has a value of 24 and will produce 30 in prosperity and 15 in a bad economy, then with a discount rate of 8% the net present value of Machine B is:

NPV = -24 + 0.5*(30 + 15)/0.08 = $257.25. So, Machine A worth $23 more.

NPV = -26 + 0.5*(30 + 19)/0.08 = $280.25.

If Machine B has a value of 24 and will produce 30 in prosperity and 15 in a bad economy, then with a discount rate of 8% the net present value of Machine B is:

NPV = -24 + 0.5*(30 + 15)/0.08 = $257.25. So, Machine A worth $23 more.

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