Question

In: Finance

UNEVEN CASH FLOW STREAM Find the present values of the following cash flow streams at a...

UNEVEN CASH FLOW STREAM

  1. Find the present values of the following cash flow streams at a 9% discount rate. Round your answers to the nearest cent.
    0 1 2 3 4 5
    Stream A $0 $150 $400 $400 $400 $300
    Stream B $0 $300 $400 $400 $400 $150

    Stream A $  

    Stream B $  

  2. What are the PVs of the streams at a 0% discount rate?

    Stream A $  

    Stream B $  

Solutions

Expert Solution

Ans a) Stream A $ 1261.51

Stream B $ 1301.63

b) Stream A: $ 1650

Stream B: $ 1650

STREAM A
Year Project Cash Flows (i) DF@ 9% DF@ 9% (ii) PV of Project ( (i) * (ii) ) DF@ 0% (ii) PV of Project A ( (i) * (ii) )
0 0 1 1                                    -   1                        -  
1 150 1/((1+9%)^1) 0.917                           137.61 1.000               150.00
2 400 1/((1+9%)^2) 0.842                           336.67 1.000               400.00
3 400 1/((1+9%)^3) 0.772                           308.87 1.000               400.00
4 400 1/((1+9%)^4) 0.708                           283.37 1.000               400.00
5 300 1/((1+9%)^5) 0.650                           194.98 1.000               300.00
NPV                       1,261.51 NPV            1,650.00
STREAM B
Year Project Cash Flows (i) DF@ 9% DF@ 9% (ii) PV of Project ( (i) * (ii) ) DF@ 0% (ii) PV of Project A ( (i) * (ii) )
0 0 1 1                                    -   1                        -  
1 300 1/((1+9%)^1) 0.917                           275.23 1.000               300.00
2 400 1/((1+9%)^2) 0.842                           336.67 1.000               400.00
3 400 1/((1+9%)^3) 0.772                           308.87 1.000               400.00
4 400 1/((1+9%)^4) 0.708                           283.37 1.000               400.00
5 150 1/((1+9%)^5) 0.650                             97.49 1.000               150.00
NPV                       1,301.63 NPV            1,650.00

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