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Ivanshal [37]
3 years ago
15

Monmouth Inc.'s stock has a 30% chance of producing a 20% return, a 30% chance of producing a 10% return, and a 40% chance of pr

oducing a -10% return. What is the firm's expected rate of return?
Business
2 answers:
stepladder [879]3 years ago
7 0

Answer:

5%

Explanation:

<em>The expected rate of return is the weighted average of all the possible returns associated with an investment decision. The returns are weighted using the probability associated with their outcomes.</em>

Expected return = WaRa + Wb+Rb + Wn+Rn

W- weight of the outcome, R - return of the outcome

=(0.3× 20%) + (0.3× 10%) + (0.4 × -10%)

  = 5%

otez555 [7]3 years ago
3 0

Answer:

Expected rate of return is 13%

Explanation:

Using the expected values method:

Expected Rate of return = Chance 1 * Outcome 1  + Chance 2 * Outcome 2 + Chance 3 * Outcome 3 + ................... Chance n * Outcome n

So by putting values, we have:

Expected Rate of return = 30% * 20% + 30% * 10% + 40% * 10%

Expected Rate of return = 6% + 3% + 4% = 13%

So the expected rate of return using the expected value method is 13%

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A firm is considering two mutually exclusive projects, X and Y, with the following cash flows:
Murrr4er [49]

Answer: MIRR (project x ) = 3.42% , Project Y = 4.51%

Explanation:

Modified internal Rate of return

Project X

Period (n) = 4

Weighted Average Cost of equity(WACC) = 8.0%

Cash out flow = -$1000

Cash Inflows = $100 year 1 , $280 year 2 , 370 year 3 ,$700 year 4

Present Value Cash Inflows = PVCIF = Cash Inflow/(1+WACC)^n

PVCIF = 100/(1+0.08)^1 + 280/(1+0.08)^2 + 370/(1+0.08)^3 + $700/(1+0.08)^4

PVCIF = 95.592592593 + 240.05486968 + 293.71792918 + 514.5208969

Present Value of Cash inflows (PVCIF) = $1143.8862884

Present Value of Cash out flows(PVCOF) = -$1000

Modified Internal Rate of Return (MIRR) = \sqrt[n]{\frac{PVCIF}{PVCOF} } -1  

Modified Internal Rate of Return (MIRR) = \sqrt[4]{\frac{1143.8862884}{10000} } -1

Modified Internal Rate of Return (MIRR) = 0.034178971

Modified Internal Rate of Return (MIRR) = 3.41789971 = 3.42%

Project Y

Period (n) = 4

Weighted Average Cost of equity(WACC) = 8.0%

Cash out flow = -$1000

Cash Inflows = $1100 year 1 , $110 year 2 , $50 year 3 ,$55 year 4

Present Value Cash Inflows = PVCIF = Cash Inflow/(1+WACC)^n

PVCIF = $1100/(1+0.08)^1 + $110/(1+0.08)^2 + $50/(1+0.08)^3 + $55/(1+0.08)^4

PVCIF = 1018.5185185 + 94.307270233 + 39.691612051 + 40.42641904

Present Value of Cash inflows (PVCIF) = $10192.9438198

Present Value of Cash out flows(PVCOF) = -$1000

Modified Internal Rate of Return (MIRR) = \sqrt[n]{\frac{PVCIF}{PVCOF} } -1  

Modified Internal Rate of Return (MIRR) = \sqrt[4]{\frac{1192.9438198}{10000} } -1

Modified Internal Rate of Return (MIRR) = 0.0450931421

Modified Internal Rate of Return (MIRR) = = 4.50931421 = 4.51%

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