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Crank
3 years ago
5

Dahlia can earn​ $60,000 a year working at a relatively safe​ job, or​ $65,000 a year working at a riskier job. The probability

of death from working at the relatively safe job is​ 1/5,000, and the probability of death from working at the riskier job is​ 1/1,000. Using the compensating differential approach and the above​ information, what is the value of​ Dahlia's life?A. ​$2 millionB. ​$2.5 millionC. ​$6.25 millionD. ​$25 million
Business
1 answer:
guajiro [1.7K]3 years ago
5 0

Answer:

C) ​$6.25 million

Explanation:

Compensating wage differentials are paid to workers so that they accept tasks that are considered dangerous or hazardous.

A worker’s utility function is:

Utility = f (w, risk of injury)

Dahlia's safe job utility function = f(60000, 0.0002)

Dahlia's riskier job utility function = f(65000, 0.001)

A 400% increase in risk will increase Dahlia's salary by $5,000,

When you are using the compensation differential approach, you can determine the value of a life by dividing the compensating differential by the increased chance of death.

($65,000 - $60,000) / (1/1000 - 1/5,000) = $5,000 / 0.0008 = $6,250,000

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1. You have a portfolio that is invested 21% in Stock A, 34% in Stock B, and 45% in Stock C. The betas of the stocks are .66, 1.
MrMuchimi

Answer:

1.

Portfolio Beta = 1.225 rounded off to 1.23

Option e is the correct answer.

2.

r = 0.13338 or 13.338% rounded off to 13.34%

Explanation:

1.

The portfolio beta is a function of the weighted average of the individual stocks' betas that form up the portfolio. To calculate the beta of a portfolio, we use the following formula,

Portfolio Beta = wA * Beta of A  +  wB * Beta of B  + ... + wN * Beta of N

Where,

w is the weight of each stock

Portfolio Beta = 0.21 * 0.66  +  0.34 * 1.21  +  0.45 * 1.5

Portfolio Beta = 1.225 rounded off to 1.23

2.

Using the CAPM, we can calculate the required rate of return on a stock. This is the minimum return required by the investors to invest in a stock based on its systematic risk, the market's risk premium and the risk free rate.

The formula for required rate of return under CAPM is,

r = rRF + Beta * (rM - rRF)

Where,

rRF is the risk free rate

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3 years ago
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