A call option is a contract that gives the investor the right to buy a certain amount of shares (typically 100 per contract) of a certain security or commodity at a specified price over a certain amount of time. For example, a call option would allow a trader to buy a certain amount of shares of either stocks, bonds, or even other instruments like ETFs or indexes at a future time (by the expiration of the contract). 
In terms of valuing option contracts, it is essentially all about determining the probabilities of future price events. The more likely something is to occur, the more expensive an option would be that profits from that event. For instance, a call value goes up as the stock (underlying) goes up. This is the key to understanding the relative value of options.
The purchase of a call option is a long position, a bet that the underlying futures price will move higher. For example, if one expects corn futures to move higher, they might buy a corn call option. The purchase of a put option is a short position, a bet that the underlying futures price will move lower. For example, if one expects soybean futures to move lower, they might buy a soybean put option.
There is a concert of Coldplay happening in an auditorium in Mumbai next week. Mr X is a very big fan of Coldplay and he went to ticket counter but unfortunately, all the tickets have been sold out. He was very disappointed. Only seven days left for the concert but he is trying all possible ways including black market where prices were more than the actual cost of a ticket. Luckily his friend is the son of an influential politician of the city and his friend has given a letter from that politician to organizers recommending one ticket to Mr.X at actual price. He is happy now. So still 6 days are left for the concert. However, in the black market, tickets are available at a higher price than the actual price.

However, unless soybeans were priced at $15 per bushel in the market on the expiration date, the farmer had either gotten paid more than the prevailing market price or missed out on higher prices. If soybeans were priced at $13 per bushel at expiry, the farmer's $15 hedge would be $2 per bushel higher than the market price for a gain of $2,000,000. On the other hand, if soybeans were trading at $17 per bushel at expiry, the $15 selling price from the contract means the farmer would have missed out on an additional $2 per bushel profit.
So, call options are also much like insurance - you are paying for a contract that expires at a set time but allows you to purchase a security (like a stock) at a predetermined price (which won't go up even if the price of the stock on the market does). However, you will have to renew your option (typically on a weekly, monthly or quarterly basis). For this reason, options are always experiencing what's called time decay - meaning their value decays over time.