Question

After a retiring from a successful business​ career, you would like to make a donation to your university. This donation will go into the​ school’s endowment pool and the returns generated from the donation will support the salary of a new professor in the business school on a perpetual basis. The university expects to earn returns of​ 5.5% on its endowment pool. You may assume that any distributions to support the salary will be made annually.
Part A) You can make a donation today (t=0) in the amount of $2,500,000. The first cash flow distribution from your donation to cover the professor's salary will take place in one year (at t=1). Which of the following is closest to the annual salary payment that can be made as a result of your donation?

A. $2,500,000
B. $454,545
C. $100,000
D. $137,500

Part B) After further discussions, the university determines that the employment agreement with the new professor will call for annual salary increases of 2%. Given this new requirement, and assuming the first salary distribution will still occur one year from today, what is the starting salary (at t=1) that can be supported with your $2,500,000 donation?

A. $50,000
B. $187,500
C. $140,250
D. $87,500

Answer 1

Answer:

Part A) D. $137,500

Part B) C. $140,250

Explanation:

Part A) The computation of annual salary payment is shown below:-

Annual salary = Donation made × Interest rate

= $2,500,000 × 5.5%

= $137,500

So, for computing the annual salary we simply multiply the donation made with interest rate.

Part B) The computation of starting salary is shown below:-

Starting salary = Annual salary + Increased annual salary

= $137,500 + 2%

= $140,250

Therefore for computing the starting salary we simply added the annual salary with increased annual salary.