Question

In: Finance

Consider the following cash flows and interest rates: End of Year   Interest Rate During Period   Cash...

Consider the following cash flows and interest rates:

End of Year   Interest Rate During Period   Cash Flow at End of Period
0 $0
1 10% $2,000
2 8% −$3,000
3 12% $4,000
A. Determine the future worth of this series of cash flows.
B. Determine the present worth of this series of cash flows.
C. Determine a 3-year uniform annual series that is equivalent to the original series.

Solutions

Expert Solution

1.
=2000*1.08*1.12+3000*1.12+4000=9779.20

2.
=4000/(1.12*1.08*1.1)+3000/(1.08*1.1)+2000/1.1=7349.68734968735

3.
=(4000/(1.12*1.08*1.1)+3000/(1.08*1.1)+2000/1.1)/(1/(1.12*1.08*1.1)+1/(1.08*1.1)+1/1.1)=2937.04949543489


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