The company COMPRI, Inc. is studying an investment that has an initial payment of 10.000€ and which is expected to generate the following cash-flows: 5.000€ the first year, 6.000€ the second and third year, and 8.000€ the fourth and fifth year. If there was no inflation, the profitability expected by the partners of COMPRI Inc is 5%, but prices increase at a rate of 8% yearly.
a) What is the pay-back period for this investment?
b) What is the required profitability accounting for the effect of inflation?
c) What is the NPV of the investment?
d) Considering the NPV obtained in the last question, is the investment feasible?
e) Which one of the following values corresponds to the IRR of the investment?
x. - 0,1234 y. 0,72431 z. 0,524968
f) A second investment is being considered. This one has an initial payment of 20.000€ and is expected to have the 6.000€, 7.000€, 8.000€, 9.000€, 10.000€ According to the NPV, which of the investments is better and suppose the first investment is carried out in Spain, while the second is carried out in Germany. The difference in risk premiums between countries is 3%. Which of the investments is now preferable?
a) pay back period = intial investment/cash inflows =10/ 33 = 0.303 years
b) due to inflation profitability use to decrease to overcome it we need invest in such an option where returns rate is more than inflation.
c) rate of discounting (r) = 8%, NPV = Inflow - outflow
present value of inflow = 5/(1+8/100)1 +6/(1+8/100)2 +6/(1+8/100)3 +8/(1+8/100)4 +8/(1+8/100)5
=25.8616
NPV = 25.8616-10 = 15.8616 euro
d) yes investment is feasible because NPV is positive.
e) irr is the rate where npv =0, inflow = ouflow, options are not clearly mentioned.
f) Present value of inflow= 6/(1+8/100)1+ 7/(1+8/100)2+ 8/(1+8/100)3 +9/(1+8/100)4+10/(1+8/100)5
= 31.331
NPV = 31.331 - 20 = 11.331 EURO
first investment is better because it has more NPV & returns on investment.
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