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Question to be solved from CFA Level 1 mock - Perpetuity

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Kindly help me in answering the following question:

Reena, a successful inventor has decided to set up a scholarship fund for deserving at her Alma matter. Her plan is for fund to the capable of awarding $25000 annually in perpetuity the first scholarship is to be awarded and paid out exactly four years from today. The fund will be deposited into an account immediately and will grow at a rate of 4%, compounded semiannually for the foreseeable future. How much money must the inventor donate today to fund the scholarship?

a.       $545,789

b.      $549,487.

c.       $543,254 


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