Payback Period
$200,000 / $90,000 = 2.22 years
NPV Method
First, calculate the weights for debt and equity
wd + we = 1
we = 1 − wd
wd / we = 0.40
wd = 0.40 × (1 − wd)
wd = 0.40 − 0.40wd
1.40wd = 0.40
wd = 0.286, we = 0.714
Second, calculate WACC
WACC = (wd × kd) × (1 − t) + (we × ke) = (0.286 × 0.07 × 0.66) + (0.714 × 0.14) = 0.0132 + 0.100 = 0.1132
Third, calculate the PV of the project cash flows
90 / (1 + 0.1132)1 + 90 / (1 + 0.1132)2 + 90 / (1 + 0.1132)3 = $218,716
And finally, calculate the project NPV by subtracting out the initial cash flow
NPV = $218,716 − $200,000 = $18,716