Answer:
We see that Prog A will give an annual CF of 75%*$6000 = $4500
Prog B will give annual CF of 95%*$6000 = $5700
Disc Rate Kd = 20%
So PV of Annuity of $1 for 5 yrs with Kd = 20% is 2.9906
So NPV of Prog A = CF0+CF1+ ....+Cf5 = -12000+2.9906*4500 = $1,458
So NPV of Prog B= CF0+CF1+ ....+Cf5 = -20000+2.9906*5700 = $(2,954)
So Prog A is more effective as it gives a Positive NPV