P1,000,000.00 pesos is needed at the end of each year to maintain each building in Rizal Technological University in Mandaluyong. If money increases at 12% per annum in a investment, how much money need to invest directly so the local government of Mandaluyong can reduce the annual cost by P250,000? *
Solution:
Present value = "\\frac{FV}{(1 + r)^{n} }"
FV = 750,000
r = 12% = 0.12
n = 1
Present value = "\\frac{750,000}{(1 + 0.12)^{1} } = \\frac{750,000}{1.12 } = 669,642.86"
Amount required to be invested directly to reduce the annual cost = P 669,642.86
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