# Down and in binary call options

If the option down and in binary call options out of the money, the trader loses his initial investment. Calculate the fair value, risk statistics and probability of hitting the barrier for a knock-in binary barrier call or put option with a payoff of a fixed amount of cash if the barrier is touched and the option is in-the-money. Calculate the fair value, risk statistics and probability of hitting the barrier for a knock-out binary barrier call or put option with a payoff equal to the value of the asset if the barrier is not touched and the option is in the money at expiry, or nothing if the barrier is touched.

Many of the most popular financial instruments such as currency pairs, equities and commodities are available to trade using binary options. The minimum and maximum he can put in with each call option varies across brokerages. The payout is made either when the barrier is hit, or at option expiry. If the option expires out of the money, the trader loses his initial investment. Unlike humans, robots have no emotion and do not need to rest, so they can make a lot more trades than humanly possible, down and in binary call options with perfect consistency

The options described here are path dependent, which means that the payout profile depends on the asset value during the life of the option and the value of the underlying asset when the barrier is hit or on the down and in binary call options date of the option. Calculate the fair value, risk statistics and probability of hitting the barrier for a knock-out binary barrier call or put option with a payoff of a fixed amount of cash if the barrier is not touched and the option is in the money at expiry, or nothing if the barrier is touched. Stocks, futures and binary options trading discussed on this website can be considered High-Risk Trading Operations and their execution can down and in binary call options very risky and may result in significant losses or even in a total loss of all funds on your account.

There are two classes of binary barrier options. Calculate the fair value, risk statistics and probability of hitting the barrier for a knock-in binary barrier call or put option with a payoff down and in binary call options a fixed amount of cash if the barrier is touched and the option is in-the-money. Calculate the fair value, risk statistics and probability of hitting the barrier for a binary barrier option with a payoff equal to the asset value if the barrier is touched, or nothing if the barrier is never touched.

The payout is made either when the barrier is hit, or at option expiry. You should never invest money that you cannot afford to lose. The first are options where a payout of cash or the down and in binary call options is made if the barrier is hit or not hit during the life of the option. Calculate the fair value, delta, and probability of hitting the barrier for a path dependent digital option where the payoff is made at the time the barrier is touched.