Can someone tell me if this could possibly be real?

I'm used to getting scams and all in my email. But this one seems weird. Potentially real idk. But most emails are in broken English and immediately asking for information. But this one seems very legit and it was an attachment and not just written. I googled about the people mentioned and such and everything seems legit.
Federal Ministry of Finance (FMF)
Ahmadu Bello Way, Central Business District
Abuja, Nigeria
PMB 14, Abuja, Nigeria.
www.fmf.gov.ng

United Nations Development Programme(UNDP)
United Nations House
Plot 617/618, Diplomatic Zone,
Central Area District,
P.M.B. 2851, Garki,
Abuja, Nigeria.
www.ng.undp.org

Dear Beneficiary
The Board of the federal ministry of finance with the United Nations do hereby notify you of your deposited compensation fund of fifty thousand dollars ($50,000.00). After series of petitions received, a final meeting was held on 8th of November 2013 and it has been resolved to compensate all those that have fallen victims to internet scams and fraud. His Excellency the PRESIDENT OF FEDERAL REPUBLIC OF NIGERIA (DR GOOD LUCK EBELE JONATHAN-GCFR) has instructed that your funds be transferred to you through money gram as it the fastest easiest and safest way of funds transfer and also that it provides affordable, convenient, reliable means of transferring money. After a random raffle draw held, your email address was found among the list of the five thousand (10,000) beneficiaries that are to benefit from this process.

For further procedure on how to claim your fund, Contact the money gram remittance department at: [email protected]

Dr Ngozi Okonjo-Iweala
Honorable Minister of Finance

This is the attachment which also included stamps at the top.

Hello Tylerbearden and welcome to Scamwarners,

This is a common scam from Africa. The two agencies listed are real and the scammer is using them in his email to add credibility to the scam. The email did not originate from either of these sites and the scammer wants you to respond using a free outlook email account. No legitimate international agency would be using a free email account.

If you have any other questions about this scam please ask.

As Mike said, it is a common scam.

This is what as known as a "recovery scam." The criminals use this scam to target people who have already lost money to scammers, based on the (true) premise that victims who have already lost money to scams will be more likely to pay money again. You will see lots of these in the "recovery scams" subforum here. In the end, they will turn into standard advance fee fraud.

There is no compensation fund. International Aid organizations and development programs are dealing with life-and-death situations--poverty, disease, starvation, violence, etc. People losing money to scammers are nowhere on their priority list.

No ministry of the United Nations sends money by MoneyGram or uses an Outlook address. The attachment is to make it seem more real or to evade spam filters which can only filter plain text.