Question
A scholarship
pUeemi-annually? 4. A scholarship program is to be established providing qualified scholars P5,000 semi-annually for the first 5 years, P8,000 for the next 3 years and P10,000 thereafter. If the fund assures a rate of 5% compounded annually, what is its capitalized cost?
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Answer #1

Capitalized cost of the program = present value of all the costs

= 5000 x (P/A, 2.5%, 10) + 8000 x ((P/A, 2.5%, 16) - (P/A, 2.5%, 10) + 10000/2.5%

= 5000 x (8.7521) x 8000 x (13.0550 - 8.7521) + 10000/2.5%

= $478,183

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