Answer: a. [tex]X[a_{n} -v^{n} a_{m} ][/tex]
Explanation:
The Present Value of the perpetuity for Seth is denoted by;
= [tex]X * a_{n}[/tex] because Seth receives it for n years.
The Present Value of the perpetuity for Susan is denoted by;
= [tex]Xv^{n} * a_{m}[/tex] because it is the value after n periods multiplied by the payments received for m periods.
The result is;
= [tex]X * a_{n}[/tex] - [tex]Xv^{n} * a_{m}[/tex]
= [tex]X[a_{n} -v^{n} a_{m} ][/tex]
