I am staying away from names of individual currencies (dollars, etc.) which would be limiting in the international arena.

The first few ideas all play on synonyms for money and speed/transport:

FlashCash
CashFlash

TransFund
TransCash

Secondly, foreign exchange trading, or FOREX, is becoming increasingly popular. This concept plays off of it for a feeling of instant familiarity:

MOREX

Third, look for an established expression that works great as a name for this company:

Cashflow

Finally, one concept is built as a pun on "currency" or money:

Current C

Current has the feeling of being there right now, "C" can stand for cash, and the whole thing, of course, sounds like currency...

Slogans

A good slogan should be about the product, and not merely a repetition of the name. Therefore, the following slogans may be paired with ANY of the above effectively.

The Money's There. Now.

The Money Moves.

Speed. Value. Security. Guaranteed.

Secure. Fast. Affordable.

1. Name: Pulse
Slogan: Money worldwide in a Heartbeat

2. Name: Whirlwind
Slogan: Money anywhere FAST!

3. Name: Astral (means pertaining to the stars)
Slogan: Sending money worldwide no longer has to be a wish

Quantum Pad
Because Money Transfer isn't Rocket Science.

This futuristic sounding name implies a launching pad. Therefore, it should trigger images of fast transfer or transportation. And instead of deliberately putting a money related word in the name {ie, Money Pad}, Quantum was used, meaning amount or quantity. {Just like Apple Makes gadgets, not fruits}

Meritime
Time is Money. Money is Time.
or
Time is Gold. GOld is Time.

The name is a combination of the words Merit, Time, and Maritime.Simply put, it means that over a long distance {maritime}, money {merit} is transferred for a short amount of {time}. The slogan further strengthens the concept. It is two-fold-- that Time is Money, so it shouldn't be wasted {and so the company delivers VERY fast}, and Money is Time {and so the payment for the transfer is all worth it because of the short time it took to deliver}. Two alternatives are given for the slogan whether the client wants it to be deliberate or implied.

Optimum Way - The optimum way to send your money!

Sending your money in a fast and affordable way has to be the optimum way of transferring money.

The name states this fact in a straightforward fashion. And it differentiates the company from the competency - no one is better, as this is the "Optimum Way" to send your money.

Sophisticated, but trustworthy. It's modern, it's not a "topic money transfer company name" and has no trademark issues.

I think the money will be transfered by using the internet so i have chosen for the following names.

globy - Youre (online) money sending friend.

Globy is the name of a person, or a figure. It makes your company personal and it represents the comfort of making use of the service. That is also what it makes modern in my opinion. The possibilities with this name are huge. As well in design options as in service options. People love funny figures, and companies use it as a great marketing tool, which make there product or company very recognizable.

Another profit of this name is that you could expand your services by making new family members for Globy, which makes this the perfect name for the service you provide.

You could also choose one of the following slogans if you dont like the slogan; youre online money sending friend.

Globy - Enjoys bussines
Globy - Exchange of money? ask Globy, he is funny
Globy - Exchange of money? ask Globy, he makes your day sunny.
Globy - Your personal wallet
Globy - Your international wallet

Freedom Transfers
Your Money, Where You Need It

Talaria Direct
Safe and Secure Global Funds Transmittal

Global Funds Now
Anywhere, Anytime

Fast Wire Direct
Money Transfers The Way You Want

Author Notes: Talaria are the winged sandals worn by Hermes, the Greek deity of messengers.
FreedomTransfers.com, TalariaDirect.com, GlobalFundsNow.com, FastWireDirect.com are all available domains.

Names:

1.
"VELO", "Velo", "velo"
from the word "velocity", may be used as a new verb "velo your cash", meaning, transfer you cash in a flash with VELO
slogans:
"Send your cash in a flash: VELO"
"Send your cash in a flash with VELO"

2.
"Mazooma"
play on the word "mazuma", which is synonym for money; catchy name, implies speed
slogans:
"Money has never been this fast"
"Sending money has never been this fast"
"Money transfer has never been this fast"

Snap Exchange: That Easy.

A business called Snap Exchange would be one that is fast easy and simple. The three qualities that a consumer is looking for in such a business. The slogan echos this statement and reinforces the main idea in a clean presentation using minimal syllables.

______________________________________________________________________

Point Shift: Fast. Secure. Direct.

Simple and unique point shift offers a name unlike any other competitor. The idea behind the name is a shift is change in matter. Money is transfered and it shifts, it isn't created. The "point" represents the thing being shifted, in this case money.

______________________________________________________________________

The full names for each would be something along the lines:

Point Shift International Transfers:

Snap Exchange Money Transfers:

It's beneficial that each title can stand on it's own without the addition of "Money Transfer or International Transfers" because it is the lack of these words which sets it apart as a standalone, viable option.

*It is important to note that these do not conflict with any USPTO trademarks and the slogans did not show up after doing searches.

Company name(1): Usend or U-send
Slogan(1): "Where the money is. (opt)Worldwide"
Possible Ad Campaign: Two people at a car repair shop. One asks the other,
"Where are we going to get the money for this?"
The other replies,
"Usend, it's where the money is!"

Company Name(2): Transcend Dividend
Slogan(2): "Sending money on a dime."

Cresus
Money is still near.

(or if someone know the translation of the french expression : "toujours à portée de main")