X
"NPV=-120+\\frac{25}{1.15}+\\frac{35}{1.15^2}+\\frac{45}{1.15^3}+\\frac{65}{1.15^4}+\\frac{65}{1.15^5}+\\frac{55}{1.15^6}+\\frac{35}{1.15^7}+\\frac{15}{1.15^8}=-120+21.74+26.47+29.59+37.16+32.32+23.78+13.16+4.90=-120+189.12=69.12"
Y
"NPV=-120+\\frac{40}{1.15}+\\frac{60}{1.15^2}+\\frac{80}{1.15^3}+\\frac{50}{1.15^4}+\\frac{30}{1.15^5}+\\frac{20}{1.15^6}=-120+34.78+45.37+52.60+28.59+14.92+8.65=64.91"
in 8 years X project is more profitable
If we bring to a full period of 6 years, then the NPV of project X will be 51.06 and then the project will be more profitable
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