There are a wide range of warrants and warrant types that are available in the market. There are different reasons for which you might invest in one type of warrant and these reasons may be different from the reasons you for which you might invest in another type of warrant.

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Equity Warrants: Equity warrants are the name given to call and put warrants.
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If you invest in call warrants it will give you the right to buy the underlying securities
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If you invest in put warrants it will give you the right to sell the underlying securities
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Covered Warrants: A covered warrant is a name given to a warrant that has some underlying backing, for instance the issuer will purchase the stock before hand or he will use other instruments in order to cover the option.
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Basket Warrants: As if there is a regular equity index, warrants can be classified at, for instance, an industry level. This means that it mirrors the performance that is shown by the industry.
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Index Warrants: An index as the underlying asset are used by Index warrants. If you use index call and index put warrants then your risk is dispersed it is similar to what happens with regular equity indexes. Here you should not that they are priced using index points. This means that you deal with cash and not directly with shares.
Traditional Warrants
Traditional warrants are those warrants that are issued in conjunction with a Bond (which is referred to as a warrant-linked bond), and the right to acquire shares in the entity issuing the bond is represented by it.
Explaining this in other words, the one who is the writer of a traditional warrant is also the issuer of the underlying instrument. In this way warrants are issued as a ‘sweetener’ in order to make the bond issue more attractive, and for having the interest rates reduced, that must be offered in order to sell the bond issue.
Example
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The price paid for bond with warrants is denoted by P0
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the coupon payments are denoted by C
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Maturity is denoted by T
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Required rate of return is denoted by r
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Face value of bond is denoted by F
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Now, Value of warrants =

Naked Warrants
Naked warrants are those bonds that are issued without an accompanying bond, and just as the traditional warrants, they are also traded on the stock exchange. Typically banks and securities firms issue them. These are also referred to as covered warrants, and these warrants are settled for cash, for instance they do not involve the company by whom the shares are issued that underlies the warrant.
In most markets around the world, covered warrants are more popular as compared to the traditional warrants described above. Financially they are also identical to call options, but typically, rather than investment funds or banks, they are bought by retail investors who prefer the more keenly priced options which have the tendency to trade on a different market. Normally covered warrants are traded alongside equities, so this things makes it easy for retail investors to buy and sell them.
Third Party Warrants
Third-party warrant is a name given to a derivative that is issued by the holders of the underlying instrument.Let us assume that company X issues one million warrants by which the holder is given the right to convert each warrant into one share at $ 500. This warrant is the one that is issued by the company. Now assume that, a mutual fund that holds 10,000 shares of X sells warrants against those shares, that are also exercisable at $ 500 per share. These types of warrants are referred to as third-party warrants.
The primary advantage of this warrant is that the instrument helps in the price discovery process. In the case that is mentioned above, the mutual fund by selling a one-year warrant exercisable at $ 500 actually gives a signal to other investors that the stock might be traded at $ 500 levels in one year. If in such warrants volumes are high, the price discovery process will be that much better; for it would mean that it is believed by many investors that the stock will trade at that level in one year.
Essentially third-party warrants are long-term call options. A covered call-write has been done by the seller of the warrants. This means that, the stocks would be hold by the seller and he will sell warrants against them. If $ 500 is not crossed by the stocks, then the buyer will not exercise the warrant. The seller will, therefore, keep the warrant premium.
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