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Palisade Corporation                                                                                                                         Cash Flow Example Model



 Discounted Cash Flow (DCF)
 Discounted cash flow (DCF) calculations are a frequent example of the use of @RISK. In the model below, the
 sources of risk are the revenue growth rate and the variable costs as a percentage of sales. After taking into
 account the assumed investment, and applying a discount factor, the DCF is derived. Following the simulation, the
 average (mean) of the DCF is known as the net present value (NPV). In this example, the results show that the
 average DCF is positive (about 40), whereas the probability of a negative DCF is about 15%. The decision as to
 whether to proceed or not with this project will therefore depend on the risk perspective (tolerance) of the decision-
 maker.

 This example has also been extended to calculate the distribution of bonus payments on the assumption that a
 bonus is paid whenever the net DCF is larger than a fixed amount (such as 50). It also uses some of the @RISK
 Statistics functions (RiskMean, RiskTarget, RiskTargetD) to work out the average net DCF, the probability that the
 net DCF is negative and the probability that a bonus is paid.




                                                1           2              3         4          5           6             7         8         9         10
Revenue                                       100    #ADDIN?       #ADDIN?      #ADDIN?   #ADDIN?    #ADDIN?     #ADDIN?       #ADDIN?   #ADDIN?    #ADDIN?
% growth rate                                        #ADDIN?       #ADDIN?      #ADDIN?   #ADDIN?    #ADDIN?     #ADDIN?       #ADDIN?   #ADDIN?    #ADDIN?
average                                                   5%              5%        5%        5%          5%          5%           5%        5%         5%
volatility                                                8%              8%        8%        8%          8%          8%           8%        8%         8%


Fixed Cost                                     35          35              35        35        35          35             35        35        35         35
Variable Cost                            #ADDIN?     #ADDIN?       #ADDIN?      #ADDIN?   #ADDIN?    #ADDIN?     #ADDIN?       #ADDIN?   #ADDIN?    #ADDIN?
Variable Cost %                          #ADDIN?     #ADDIN?       #ADDIN?      #ADDIN?   #ADDIN?    #ADDIN?     #ADDIN?       #ADDIN?   #ADDIN?    #ADDIN?
min                                          48%         48%              48%      48%       48%         48%          48%         48%       48%         48%
ml                                           50%         50%              50%      50%       50%         50%          50%         50%       50%         50%
max                                          54%         54%              54%      54%       54%         54%          54%         54%       54%         54%


Profit/Cash Flow                         #ADDIN?     #ADDIN?       #ADDIN?      #ADDIN?   #ADDIN?    #ADDIN?     #ADDIN?       #ADDIN?   #ADDIN?    #ADDIN?


DCF                              12%     #ADDIN?
Investment                        100
Net DCF (NPV)                            #ADDIN?                Average         #ADDIN?
                                                                p(<=0)          #ADDIN?
Bonus limit                                    50
Palisade Corporation                               Cash Flow Example Model

Bonus                     #ADDIN?   p(>0)   #ADDIN?

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Cash flow

  • 1. Palisade Corporation Cash Flow Example Model Discounted Cash Flow (DCF) Discounted cash flow (DCF) calculations are a frequent example of the use of @RISK. In the model below, the sources of risk are the revenue growth rate and the variable costs as a percentage of sales. After taking into account the assumed investment, and applying a discount factor, the DCF is derived. Following the simulation, the average (mean) of the DCF is known as the net present value (NPV). In this example, the results show that the average DCF is positive (about 40), whereas the probability of a negative DCF is about 15%. The decision as to whether to proceed or not with this project will therefore depend on the risk perspective (tolerance) of the decision- maker. This example has also been extended to calculate the distribution of bonus payments on the assumption that a bonus is paid whenever the net DCF is larger than a fixed amount (such as 50). It also uses some of the @RISK Statistics functions (RiskMean, RiskTarget, RiskTargetD) to work out the average net DCF, the probability that the net DCF is negative and the probability that a bonus is paid. 1 2 3 4 5 6 7 8 9 10 Revenue 100 #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? % growth rate #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? average 5% 5% 5% 5% 5% 5% 5% 5% 5% volatility 8% 8% 8% 8% 8% 8% 8% 8% 8% Fixed Cost 35 35 35 35 35 35 35 35 35 35 Variable Cost #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? Variable Cost % #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? min 48% 48% 48% 48% 48% 48% 48% 48% 48% 48% ml 50% 50% 50% 50% 50% 50% 50% 50% 50% 50% max 54% 54% 54% 54% 54% 54% 54% 54% 54% 54% Profit/Cash Flow #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? #ADDIN? DCF 12% #ADDIN? Investment 100 Net DCF (NPV) #ADDIN? Average #ADDIN? p(<=0) #ADDIN? Bonus limit 50
  • 2. Palisade Corporation Cash Flow Example Model Bonus #ADDIN? p(>0) #ADDIN?