In: Finance
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%.
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