Question

In: Finance

A project costing $504,100 is projected to have the following before tax operating cash flows (BTCFO)...

A project costing $504,100 is projected to have the following before tax operating cash flows (BTCFO) for the next 5 years: $100,000 $125,000, $150,000, $160,000, and $175,000. In addition, the property is expected to be sold at the end of 5 years for a net cash amount of $600,000 (BTCFS). If you were to partition the BTIRR of this project, based on BTCFO and BTCFS, what proportions of the BTIRR would be represented by each?

66.0%/34.0%

50.3%/49.7%

40.0%/60.0%

73.5%/26.5%

Solutions

Expert Solution

Year cashflow
0          -5,04,100
1            1,00,000
2            1,25,000
3            1,50,000
4            1,60,000
5            7,75,000
IRR 28.50%
IRR Partition
Year BTCFO PV @28.50% (BTCFS) PV @28.50% Total PV
1 100000                        77,821 0 0 100000      77,821
2 125000                        75,701 0 0 125000      75,701
3 150000                        70,694 0 0 150000      70,694
4 160000                        58,682 0 0 160000      58,682
5 175000                        49,948 600000 171252 775000 2,21,200
                   3,32,847 171252 1310000 504099
66% (3,32,847/504099) 34%(1310000/504099)

The corrrect answer is option A i.e. 66% from BTCFO and 35% from BTCFS

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