Hi Leute, bin gerade dabei eine Aufgabe nachzuvollziehen, aber komme nicht aufs richtige Ergebnis. Das ist die Aufgabe:

A Customer of a firm generates revenues of 1000 Euro in the existing period (t0=0). The costs attributed to the customer amount to 200 Euro. The customer has a predicted probability of being active until the end of the period of 80%. In the forthcoming year (t1=1), the figures are as follows: 1200 Euro revenue and 180 Euro costs are expected; the likelihood of being active drops to 70%. In the year after the forthcoming year (t2=2), the figures are as follows: 1500 Euro revenue and 150 Euro costs are expected; the likelihood of being active remains at 70%. What is the customer lifetime value of the customer with regard to these three periods, assuming a discount rate of 10%?

A. 2450,00 Euro
B. 2011, 90 Euro
C. 1881,89 Euro
D. 2112,98 Euro
E. 2070,08 Euro STIMMT


Ich komme aber auf Antwort C und habe so gerechnet:


T=0 t=1 t=2
1000 1200 1500
-200 -180 -150
800 1020 1350

P = 0,8 p=0,7 p=0,7

Rechnung:

(800*0,8 )/1,1 + (1020*0,7)/1,1^1 + (1350*0,7)/1,1² = 1881,89€

Kann mir jemand helfen, wie man das richtig ausrechnet? Danke schon mal!