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 3.5 percent and is expected to produce annual cash flows of $19,300 forever. Factory B is worth $545,000 and is expected to produce annual cash flows of $19,900 forever. Which assertion is true?
a. | Factory A is more valuable than factory B and factory A is more risky than factory B | |
b. | Factory A is more valuable than factory B and factory B is more risky than factory A | |
c. | Factory B is more valuable than factory A and factory A is more risky than factory B | |
d. | Factory B is more valuable than factory A and factory B is more risky than factory A | |
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. |
Value of Factory A = Annual Cash flow / Cost of Capital
= 19300 / 0.035
= 551,428.57
Cost of Capital of factory B
Value of Factory B = Annual Cash flow / Cost of Capital
545000 = 19900 / Cost of Capital
Cost of Capital = 19900 / 545000
Cost of Capital = 3.65%
Value of Factory A = 551,428.57
Value of Factory B = 545000
Cost of Capital of factory A = 3.5%
Cost of Capital of factory B = 3.65%
Value of Factory A is higher and risk is low.
Option B is correct. Factory A is more valuable than factory B and factory B is more risky than factory A