Question

In: Finance

Calculate the value of the stream of cash flows below in Year 4. t=0--->CF0 = $450...

Calculate the value of the stream of cash flows below in Year 4. t=0--->CF0 = $450 t=1--->CF1 = $550 t=2--->CF2 = $650 t=3--->CF3 = $750 t=4--->CF4 = $850 t=5--->CF5 = $950 t=6--->CF6 = $1050 The relevant rate is 8%.

Solutions

Expert Solution

Value of casg flow at the end of fourth year =CF *(1+ interest rate) ^ time till 4 th year

Value of CF0 at the end of 4th year =450*(1+8%)^4

=450*1.36048896

=612.22

Value of CF1 at the end of 4th year =550*(1+8%)^3

=550*1.259712

=692.84

Vakue of CF 2 at the end of 4th year =650*(1+8%)^2

650*1.1664

=750.16

Value of CF 3 at the end of 4th year = 750*(1+8%)^1

=750*1.08

=787.5

Value of CF 4 at the end of 4 th year =850*(1+8%)^0

=850*1=850

Value of CF5 at the end of 4 th year =950*(1+8%)^-1

950/1.08=879. 63

Value of CF6 at the end of 4th year =1050*(1+8%)^-2

=1050/1.1664

=900.21

Hence the value of all cash flows at the end of 4 th year

=692.84+750.16+787.5+850+879.63+900.21

=4860.34


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