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Question 1

Question 2

Consider a project with an initial investment of R120 000 and the following cash flows: Year 1 R20 000 Year 2 R35 000 Year 3 R45 000 Year 4 R60 0000 If the discount rate of \7.5, which one of the following is a correct manual calculation of the NPV for the project? a. \\( -120000+\\frac{20000}{1+7.5}+\\frac{35000}{(1+7.5)^{2}}+\\frac{45000}{(1+7.5)^{3}}+\\frac{60000}{(1+7.5)^{4}} \\) b. \\( \\frac{20000}{1.075}+\\frac{35000}{(1.075)^{2}}+\\frac{45000}{(1+1.075)^{3}}+\\frac{60000}{(1.075)^{4}} \\) c. \\( 20000(1.075)+35000(1.075)^{2}+45000(1.075)^{3}+60000(1.075)^{4}-120000 \\) d. \\( \\frac{-120000}{1.075^{0}}+\\frac{20000}{1.075^{1}}+\\frac{35000}{1.075^{2}}+\\frac{45000}{1.075^{3}}+\\frac{60000}{1.075^{4}} \\) e. \\( \\frac{20000}{(1+0.075 / 12)^{(12)}}+\\frac{35000}{(1+0.075 / 12)^{(2 \\times 12)}}+\\frac{45000}{(1+0.075 / 12)^{(3 \\times 12)}}+\\frac{60000}{(1+0.075 / 12)^{(4 \\times 12)}}-120000 \\) Consider a project with an initial investment of R45 000 and the following cash flows: Year 1 R10 000 Year 2 R10 000 Year 3 R15 000 Year 4 R25 000 Assuming that the NPV has been correctly calculated as R5 257.70, which one of the following is a correct manual calculation of the PI of the project? a. \\( \\frac{10000+10000+15000+25000}{45000}+1 \\) b. \\( \\frac{5257.70+45000}{45000} \\) c. \\( \\frac{5257.70}{45000} \\) d. \\( \\frac{5257.70}{45000}+45000 \\) e. \\( \\frac{5257.70+45000}{45000}+1 \\)