In: Finance
You own factory A and factory B. The next cash flow for each factory is expected in 1 year. Factory A has a cost of capital of 4.3 percent and is expected to produce annual cash flows of $19,100 forever. Factory B is worth $455,000 and is expected to produce annual cash flows of $18,800 forever. Which assertion is true?
a. |
Factory A is more valuable than factory B and factory A is more risky than factory B |
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b. |
Factory A is more valuable than factory B and factory B is more risky than factory A |
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c. |
Factory B is more valuable than factory A and factory A is more risky than factory B |
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d. |
Factory B is more valuable than factory A and factory B is more risky than factory A |
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e. |
Factory A and factory B either have the same value, the same level of risk, or both the same value and level of risk. |
Annual cash flows for factory A = $ 19,100
Cost of capital = 4.3%
Current worth of factory A = 19,100/ 4.3% (as it is a perpetuity)
= $ 444,186.05
Annual cash flows of factory B = $ 18,800
Current worth of B = $ 455,000
As B has higher worth(value) despite lower quantity of cash flows per year, it has a much lower risk than A.
So, the answer is
C) Factory B is more valuable than factory A and factory A is more risky than factory B