Let's say this is the mock function with five parameters:
f[\[Tau]_f[τ_, r_, \[Sigma]_σ_, S0_, k_] := r + \[Tau]τ
Store data in a text file (say "test.txt" and set the folder accordingly); i.e., copy paste your data in a text file; name and save it in an accessible folder.
Next, import it as a list of values because we need rows containing five parameters each as a list.
rawdata = Import["C:/test.txt", "Table"]
title = First@rawdata;
data = Rest@rawdata;
Apply the function to each row:
f @@@ data
Now you will have to write the function.