Answer:
$2,274,639.75
Explanation:
Endowment on July 2010 = $15,000,000
Endowment amount on July 2014 = $15,000,000 (1+0.05)^4 - Expenditure on facilities
= $15,000,000 (1.2155) - $5,000,000
= $18,232,500 - $5,000,000
= $13,232,500
Amount to be set aside for operation expenses = $250,000/0.05 = $5,000,000
Amount available for capital replacement = $13,232,500 - $5,000,000 = $8,232,500
5-years effective interest rate = (1+0.05)^5 - 1 = 0.2763
Annual available for capital replacements every fifth year forever = $8,232,500 (0.2763) = $2,274,639.75