Greater value of option, larger span of time value is usually results in

shorter call option
longer call option
longer put option
shorter put option

The correct answer is: B. longer call option.

A call option is a contract that gives the buyer the right, but not the obligation, to buy a specified amount of an underlying asset at a specified price on or before a specified date. The price at which the option buyer can buy the asset is called the strike price. The time until the option expires is called the option maturity.

The value of a call option is determined by the following factors:

  • The strike price: The higher the strike price, the lower the value of the call option. This is because the buyer of a call option has the right to buy the asset at the strike price, but if the market price of the asset is below the strike price, the buyer will not exercise the option.
  • The underlying asset price: The higher the underlying asset price, the higher the value of the call option. This is because the buyer of a call option has the right to buy the asset at the strike price, which is lower than the market price.
  • The time to expiration: The longer the time to expiration, the higher the value of the call option. This is because the buyer of a call option has more time for the market price of the asset to increase, which would make it profitable to exercise the option.
  • The volatility of the underlying asset price: The higher the volatility of the underlying asset price, the higher the value of the call option. This is because the buyer of a call option is more likely to profit from a large change in the market price of the asset.

In general, a longer call option will have a higher value than a shorter call option, because the buyer of a longer call option has more time for the market price of the asset to increase.