Formula for conditional sum for distinct values

I have 3 columns in a table - From, To, and Amount. From and To field contains names. The logic is if a name features in the From section, it would mean money is paid by that person and if the name features in the To field, it would mean money is received. I wish to calculate sum total of receipts/ payments for each distinct name. Is this possible through a formula?
I am attaching an excel sheet showing the input and the output that I wish to achieve.