What size is suitable as an Initial Size for tempdb system database?

The size and physical placement of the tempdb database can affect the performance of a system. For example, if the size that is defined for tempdb is too small, part of the system-processing load may be taken up with auto-growing tempdb to the size required to support the workload every time you restart the instance of SQL Server. You can avoid this overhead by increasing the sizes of the tempdb data and log file.

Determining the appropriate size for tempdb in a production environment depends on many factors. All those factors have been mentioned in the article “Capacity Planning for tempdb”.

Capacity Planning for tempdb
https://msdn.microsoft.com/en-us/library/ms345368(v=sql.105).aspx

You can also use the basic calculation like below

 declare @tempdb_size1 decimal(15,2) = 0
declare @tempdb_size2 decimal(15,2) = 0
declare @tempdb_size3 decimal(15,2) = 0
declare @tempdb_size decimal(15,2) = 0
declare @database_size_info table (
    database_name sysname, database_size decimal(15,2)
)
insert into @database_size_info
select db_name(database_id) database_name, 
SUM (CONVERT (numeric (15,2) , (convert(numeric, size) * 8192)/1048576)) 
from sys.master_files
group by database_id
--10% of the total size of databases greater than 1TB
select @tempdb_size1 = isnull(sum(database_size),0)
from @database_size_info
where database_size >= 1000000
--15% of the total size of databases greater than 100GB and less than 1TB
select @tempdb_size2 = isnull(sum(database_size),0)
from @database_size_info
where database_size >= 100000 and database_size < 1000000
--25% of the total size of databases greater less than 100GB
select @tempdb_size3 = isnull(sum(database_size),0)
from @database_size_info
where database_size < 100000

set @tempdb_size = (@tempdb_size3*0.25)+(@tempdb_size2*0.15)+(@tempdb_size1*0.10)

select @tempdb_size tempdb_estimated_database_size, 
        (@tempdb_size*0.75 ) tempdb_estimated_data_initial_size, 
        (@tempdb_size*0.25 ) tempdb_estimated_log_initial_size

There are some other best practices for tempdb such as one tempdb file for each core processors. If you plan to add addition tempdb data files, tempdb_estimated_data_initial_size can be divided the core processor count.