Why would adding a champion reduce the number of peasants to 2500? Having champions doesnt seem to require much of an investment (at least if its just the ONE champion) ... after all your Knights of death probably have a couple champions as well.
Still ... even without bonuses, the basic scenario of 5000 peasants equipped with leather gear and sticks vs 450 mithrilar knights simply raises a balance question of stats, without any actual stats involved.
I assume you mean that you are using some form of Refined Ore that gives a +1 or +2 bonus on the basic attack and defense values, as well as extra training that increases your HP by 50% or more. In addition to all the bonuses riding on a horse entails.
In the end, which army requires more investment of time, raw materials, and gold? Which army is more cost effective? Are they both cost effective?
Back to the question of Champions or no Champions, Either we can Assume the Champions and Sovereigns of both teams are off exploring, or that they are both present. I was assuming that your champions were "Stronger" while my Champion (or Champions) selected leadership traits that would increase the Viability of Mob tactics. After all, usually if going along the Elite path or the Mob path, one would tend to invest in skills and technology that synergize with their troop choice.
For instance, Your buffs would increase the strength and defense of your units (since your speed and morale is already high) while my buffs would increase Organization, Speed, and Morale (which are really all Organization).
As for the Heavy Charge Bonus, I should think the strength of the charge depends on relative terrain, flank, and wether you are in a block or a wedge formation. (If you are in a wedge formatoin the lead has a heavier charge, although more vulnerable to being cut-off and killed early ... or any arbitrary difference).
In addition, if Charges take place against a single cluster of units from three different directions, then the effectiveness of the charge is increased (at least in terms of Morale). However, the size of the charge in relation to the Victim-Cluster also relates to the effect of the charge.
If 5 Knights of Doom attack 200 peasants from 4 different directions, then the flanking will increase the charges' morale effect, however 5 attacking 10-20 defenders on the edge of the 200 man block is less effective from an Attack standpoint than say, all 20 Knights charging the same 20 defenders. Only practice and experience will teach you what is the most effective. Maybe the morale detriment is enough to split your force into 4 attack wings. ONLY if lead by a low-morale leader and low quality troops. Maybe a decent leader has enough morale to hold back your initial charge, which is less effective in damage than a 20 man one sided charge.
Maybe high morale Rabble are better to Charge at from one side with 20 units. Obvoiusly if each side of the block only consists of 10-20 men, then it would be more viable to attack all sides with 20 men than 1 side with 80 men.
Perhaps when facing 200 swordsmen of medium rank, its best for a 20 men elite Knight team to split into two groups of 10 and attack from the front and the rear.
Perhaps when facing 200 "Spear"men, it would be better to send 50 weak peasants to fight their front, while your elite knights encircle their flank, or attack other units. Sure the peasants won't last long, although knowing (from experience) how long they PROBABLY will last, and time running your spears into the flanks of the unit during the time you think your peasants will still be some-what alive. Then, hopefully retreat your Knights before the peasants all die, and charge the spearmen with another round of melee troops.
Lets assume that 200 of your Knights are bowmen, 150 are lances, and the other 100 are longswordsmen Knights
Then lets assume 3500 peasants use clubs, another 1000 use spears, and another 500 use polished Iron spears.
Sure, these are arbitrary numbers, although the actual numbers would depend on availability of the weapons, relative Cost effectivness, and over-all strategical and tactical decisions. Maybe its better to train one Elite Company of Fire-Iron pikemen, and the rest with flimsy clubs and sticks.
Or maybe its more effective to use 3500 bronze spears as opposed to 5000 mixed troops, or maybe 2000 Iron Spears instead.
Maybe its better for you to wield 200 elite troops with Magical +4 Steel Lances, and 4 well equipped champions, than 450 Iron-Clad death knights.
Maybe its better to have 100 Elite +4 troops and another 200 iron equipped Knights, along with 2 champions well equipped.
Maybe its better to have 20 Champions of varoius level, 5 of which are above level 20, and 1 of which can summon magical monsters and undead. As well as a guard of 100 average iron knights.