Dear {studentfirstname},
We’re pleased you’re considering our job offer for the (job_title) position at (company_name). We’ve discussed your requests with the head of (specific_department) department and our finance team and we’ve decided to extend our initial offer with: 
A (%) increase in annual compensation to a new (new_salary_amount) salary. 
A signing bonus of (bonus_amount).
Flexibility to work from home (two_days_a_week) or commute reimbursement.
Company stock options
Renegotiation of compensation and benefits after an early performance review (six_months_after_start_date).
Please consider the above offer and reply by (date). In the meantime, if you have any questions feel free to contact me at (your_contact_information). 
We look forward to hearing from you.
Best,
(your_name)
(signature)