To peg the exchange rate, you simply have to have a very wealthy organisation (like a government) buy/hold the currency whenever its price gets too low, and sell/spend the currency whenever its price gets too high.
That way, the supply and the demand are always balanced out.
It takes a *lot* of money to do this and the more the exchange rate wants to stray the more money it costs, but it does result in a greater ease of doing business which can therefore improve the economy of the nation – theoretically increasing tax revenue enough to pay for the cost of pegging the currency.
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