You are head of the Schwartz Family Endowment for the Arts. You have decided to fund an arts school in the San Francisco Bay area in perpetuity. Every 4 years, you will give the school $600,000. The first payment will occur 4 years from today. If the interest rate is 7.6% per year, what is the present value of your gift?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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You are head of the Schwartz Family Endowment for the Arts. You have decided to fund an arts school in the San
Francisco Bay area in perpetuity. Every 4 years, you will give the school $600,000. The first payment will occur 4 years
from today. If the interest rate is 7.6% per year, what is the present value of your gift?
The PV of the gift is $
(Round to the nearest dollar.)
Transcribed Image Text:You are head of the Schwartz Family Endowment for the Arts. You have decided to fund an arts school in the San Francisco Bay area in perpetuity. Every 4 years, you will give the school $600,000. The first payment will occur 4 years from today. If the interest rate is 7.6% per year, what is the present value of your gift? The PV of the gift is $ (Round to the nearest dollar.)
Expert Solution
Step 1

Effective 4-year Interest Rate = (1+ Interest Rate)^4 - 1

Effective 4-year Interest Rate = (1+0.076)^4 - 1

Effective 4-year Interest Rate = 0.340445 or 34.0445%

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