Answer to Question #16968 in Calculus for hsd

Question

Each curve in the figure below represents the balance in a bank account into which a single deposit was made at time zero.

http://imageshack.us/f/822/ob50k849dw033574setassi.png/

Assuming continuously compounded interest, find (enter each answer as value or a list, e.g, I or II,III): :

(a) The curves representing the same initial deposit :
(b) The curves representing the same interest rate :
(c) The curve(s) representing the largest interest rate :
(d) The curve(s) representing the largest initial deposit :

Answer 1

(a) curves I and IV;
(b) curves I and III;
(c) curve IV;
(d) curve II.