Designing of a voltage to current converter schematic
80 MΩ is not a realistic resistor value. That's in the range of resistance of creepage on the surface of circuit boards. 
1 GΩ? You got to be kidding! Have you ever seen a 1 GΩ resistor on a board¹?
5 pF is also a relatively rare capacitor resistor value. That's the equivalent capacitance of a few millimeter of trace over a ground plane; far too low.
Go back, design something that doesn't require any resistors of critical value of &gt; 4.7 MΩ. You probably want something where the largest resistors are in the 100 kΩ region, so you don't have to worry too much about bias currents into the opamp.
Now, let's talk about what you want to do: 200 nA output range! You'll need to operate this very very far away from any electrical device, as that is very low current, and you will most likely picking that or more up from EMI.
So, I think you need to go back a step in your design process, and try to understand the measurement problem you're solving a bit better and come up with a different approach alltogether – or you're not telling us very important things (like this happening in liquid nitrogen in an RF isolated room...).

Take a 3mm × 3mm × 3mm cube of especially dry air, attach electrodes to two opposites sides: that's a 1 GΩ resistor. I will gladly ship you a box of 37000 raw 1 GΩ air-cores for the cheap price of 100€; you just have to cut the air into shape.