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How do you interpret Probability of default?
Distance-to-Default:-- distance between the expected value of the asset and the default point- after substitution into a normal c.d.f one gets probability of defaultDD(t) =ln(V/F)+(µ-0.5*σ^2)*T/(σ*sqrt(T));Where, V= value of the assetsF=Value of the liability/debtµ= expected return of assetsσ=Volatility of the assetsT= TimeAnd Probability of default:-PD(t) = NormDist(-DD)= Ɲ(-DD)
How are variance and standard deviation used as measures of risk for both a security and a portfolio?
Risk reflects the chance that the actual return on an investment may be very different than the expected return. One way to measure risk is to calculate the variance and standard deviation of the distribution of returns.Consider the probability distribution for the returns on stocks A and B provided below.StateProbabilityReturn onStock AReturn onStock B120%5%50%230%10%30%330%15%10%320%20%-10%The expected returns on stocks A and B were calculated on the Expected Return page. The expected return on Stock A was found to be 12.5% and the expected return on Stock B was found to be 20%.Given an asset's expected return, its variance can be calculated using the following equation:whereN = the number of states,pi = the probability of state i,Ri = the return on the stock in state i, andE[R] = the expected return on the stock.The standard deviation is calculated as the positive square root of the variance.Note: E[RA] = 12.5% and E[RB] = 20%Stock AStock B
What is it called when you pick an object and do not return it in probability?
When you pick an object and do not return it, in probability it is termed "without replacement".
How is expected rate of return calculated from average rate of return on investment and standard deviation?
The expected rate of return is simply the average rate of return. The standard deviation does not directly affect the expected rate of return, only the reliability of that estimate.
Is CAPM a linear model?
Yes, the Capital Asset Pricing Model (CAPM) is a linear model. It describes the relationship between the expected return of an asset and its systematic risk, measured by beta. The model is represented by the equation: ( E(R_i) = R_f + \beta_i (E(R_m) - R_f) ), where ( E(R_i) ) is the expected return of the asset, ( R_f ) is the risk-free rate, ( \beta_i ) is the asset's beta, and ( E(R_m) ) is the expected return of the market. This linearity implies that the expected return increases proportionally with an increase in risk.
How do you calculate expected rate of return?
The expected rate of return is calculated by multiplying the potential returns of each possible outcome by their probabilities and then summing these values. The formula is: Expected Rate of Return = (Probability of Outcome 1 × Return of Outcome 1) + (Probability of Outcome 2 × Return of Outcome 2) + ... + (Probability of Outcome n × Return of Outcome n). This approach helps investors assess the average return they might anticipate from an investment based on various scenarios.
Relation between marginal efficiency of capital and marginal efficiency of investment?
MEC is the highest rate of return expected from an additional unit of capital stock over its cost. MEI is the expected rate of return from one additional unit of investmeni.
How do you interpret Probability of default?
Distance-to-Default:-- distance between the expected value of the asset and the default point- after substitution into a normal c.d.f one gets probability of defaultDD(t) =ln(V/F)+(µ-0.5*σ^2)*T/(σ*sqrt(T));Where, V= value of the assetsF=Value of the liability/debtµ= expected return of assetsσ=Volatility of the assetsT= TimeAnd Probability of default:-PD(t) = NormDist(-DD)= Ɲ(-DD)
Difference between marginal efficiency of investment and marginal efficicency of capital?
MEC is the expected rate of return on capital and MEI is the expected rate of return on investment.
How are variance and standard deviation used as measures of risk for both a security and a portfolio?
Risk reflects the chance that the actual return on an investment may be very different than the expected return. One way to measure risk is to calculate the variance and standard deviation of the distribution of returns.Consider the probability distribution for the returns on stocks A and B provided below.StateProbabilityReturn onStock AReturn onStock B120%5%50%230%10%30%330%15%10%320%20%-10%The expected returns on stocks A and B were calculated on the Expected Return page. The expected return on Stock A was found to be 12.5% and the expected return on Stock B was found to be 20%.Given an asset's expected return, its variance can be calculated using the following equation:whereN = the number of states,pi = the probability of state i,Ri = the return on the stock in state i, andE[R] = the expected return on the stock.The standard deviation is calculated as the positive square root of the variance.Note: E[RA] = 12.5% and E[RB] = 20%Stock AStock B
What is it called when you pick an object and do not return it in probability?
When you pick an object and do not return it, in probability it is termed "without replacement".
What is the difference between the required rate of return and the expected rate of return in investment analysis?
The required rate of return is the minimum return an investor needs to justify the risk of an investment, while the expected rate of return is the return that an investor anticipates receiving based on their analysis of the investment's potential performance.
How is expected rate of return calculated from average rate of return on investment and standard deviation?
The expected rate of return is simply the average rate of return. The standard deviation does not directly affect the expected rate of return, only the reliability of that estimate.
Does the capital asset pricing model help us to get required rate of return or expected rate of return?
expected rate of return
A radom number generator is used to select a number from 1 to 100 What is the probability of selecting the number 153?
The probability should be 0 (zero). 153 is not between 1 and 100. If you meant your number generator to return a number between 1 and 1000, the probability would be 1/1000 = .001 = .1%
What is the expected return for asset X if it has a beta of 1.5 the expected market return is 15 percent and the risk free rate is 5 percent?
To calculate the expected return for asset X, we can use the Capital Asset Pricing Model (CAPM): Expected Return = Risk-Free Rate + Beta × (Market Return - Risk-Free Rate). Plugging in the values: Expected Return = 5% + 1.5 × (15% - 5%) = 5% + 1.5 × 10% = 5% + 15% = 20%. Thus, the expected return for asset X is 20%.
10000 to invest in a stock portfolio. stock A expected return 18 and stock B expected return 11. create a portfolio with expected return of 16.25. how much to invest in stock A and stock B?
6000.00
