Missing a Fast in Ramadan Intentionally: What Should Be Done?
Question

If someone does not fast the month of Ramadan, without having any excuse, or he broke the fast deliberately during the month, does he have to make up for the days when he did not fast?
Praise be to Allah.Fasting Ramadan is a Must 
Fasting Ramadan is one of the pillars of Islam, and it is not permissible for the Muslim to fail to fast it, except with an excuse. 
What to do if Ramadan fasting is skipped for valid reasons
Whoever fails to fast Ramadan, or breaks the fast during it, for a legitimate excuse such as sickness, travel or menses, what he is required to do is to make up the days that he did not fast , according to scholarly consensus, because Allah, may He be exalted, says (interpretation of the meaning):
“and whoever is ill or on a journey, the same number (of days which one did not observe Saum (fasts) must be made up) from other days.” [al-Baqarah 2:185] 
What to do if Ramadan fasting is skipped intentionally 
As for one who does not fast the month of Ramadan deliberately, out of heedlessness, even if that is just one day of the month, in the sense that he does not intend to fast it at all, or he breaks the fast after having started to fast, with no excuse, he has committed a major sin and must repent. 
The majority of scholars are of the view that it is obligatory to make up the days that one does not fast . In fact some of them narrated that there was scholarly consensus on this point. 
Ibn ‘Abd al-Barr said: 
“The ummah is unanimously agreed, and all the scholars narrated, concerning one who does not fast Ramadan deliberately, although he believes that it is obligatory, and he only failed to fast it out of negligence and arrogance, then he repented from that, that he must make up (the days he missed) . (Al-Istidhkar, 1/77) 
Ibn Qudamah al-Maqdisi said: 
“We do not know of any difference of opinion concerning that, because fasting is a proven responsibility, and it cannot be discharged except by doing it, but if he does not do it, it remains due from him.” (Al-Mughni, 4/365) 
In Fatawa al-Lajnah ad-Daimah (10/143) it says: 
“Whoever does not fast because he denies that it is obligatory is a disbeliever, according to scholarly consensus. Whoever does not do it because he is lazy and heedless is not a disbeliever, but he is in grave danger because he has omitted one of the pillars of Islam, on which there is scholarly consensus that it is obligatory, and he deserves to be punished and disciplined by the authorities in a manner that will deter him and others like him. In fact some of the scholars are of the view that he is to be deemed a disbeliever. 
He has to make up the days that he did not fast , and also repent to Allah, may He be glorified.”
Shaykh Ibn Baz (may Allah have mercy on him) was asked:
What is the ruling on someone who broke the fast in Ramadan without a legitimate excuse, and he is approximately seventeen years old, and has no excuse? What should he do? Does he have to make up for the missed fasts? 
He said:
“Yes, he has to make up for the missed fasts, and he has to repent to Allah, may He be glorified and exalted, for his carelessness and breaking of the fast. 
With regard to what was narrated from the Prophet (blessings and peace of Allah be upon him), that he said: “Whoever breaks the fast on one day in Ramadan, with no concession and no sickness, fasting an entire lifetime will not make up for it, even if he fasts it” – this is a da‘if hadith according to the scholars, and is not sahih.” (Fatawa Noor ‘ala ad-Darb, 16/201) 
Some of the scholars are of the view that whoever deliberately does not fast Ramadan does not have to make it up; rather he has to do a lot of supererogatory fasts. This is the zahiri view, and was the view favoured by Shaykh al-Islam Ibn Taymiyah and Shaykh Ibn ‘Uthaymin. 
Al-Hafiz Ibn Rajab al-Hanbali said: 
“The view of the Zahiris or of most of them is that the one who deliberately breaks the fast does not have to make it up. This was narrated from ‘Abd ar-Rahman, the companion of ash-Shafi'i in Iraq, and from the son of the daughter of ash-Shafi'i. It is also the view of Abu Bakr al-Humaydi concerning fasting and prayer if a person deliberately does not do them; it is not valid for him to make them up. Something similar was stated by a number of our earlier companions, including al-Jawzjani, Abu Muhammad al-Barbahari and Ibn Battah.” (Fath al-Bari, 3/355) 
Shaykh al-Islam Ibn Taymiyah (may Allah have mercy on him) said:
“The one who deliberately did not fast or pray with no excuse cannot make it up, and it is not valid on his part.” (Al-Ikhtiyarat al-Fiqhiyyah, p. 460) 
Shaykh Ibn ‘Uthaymin (may Allah have mercy on him) said:
“But if he does not fast at all, deliberately and with no excuse, then the more correct view is that he does not have to make it up, because it will never benefit him in the slightest, and it will not be accepted from him. The basic principle concerning every act of worship that is connected to a specific time is that if it is delayed beyond that specific time with no excuse, it will never be accepted.” (Majmu‘ al-Fatawa, 19/89) 
In conclusion, if a person deliberately did not fast any of the days of Ramadan, he must make them up according to the view of most of the scholars. However some of the scholars are of the view that it is not prescribed for him to make it up, because it is an act of worship the time for which has gone. But the view of most of the scholars is more likely to be correct, because it is an act of worship that is still due from the individual, and cannot be waived except by doing it. 
And Allah knows best.