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3 years ago

Explain why taking a monotonic transformation of a utility function does not change the marginal rate of substitution (MRS).

Business

1 answer:

fredd [130]3 years ago

7 0

Explanation:

Monotonic transformation refers to changing the quantity of both the variables in a way that their ranking or order is preserved. Monotonic transformation of a utility function does not change the marginal rate of substitution as the order of preferences remains intact with the monotonic transformation. It's just the level of utility that either increases or decreases with such a transformation. The indifference curve shape remains the same. With monotonic transformation, consumer moves from a lower to higher or higher to lower indifference curve.

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Your uncle has $500,000 and wants to retire. He expects to live for another 30 years and to earn 6.5% on his invested funds. How

Andrei [34K]

Answer:

$38, 288.718

Explanation:

The amount to be withdrawn at the end of each year, for 30 years

The amount of $500,000 represents the present value while yearly withdraws the annuities.

We use a revised formula for calculating annuities.

Applicable formula is

P = PV × r/( 1 − (1+r)−n

P = annual withdrawals

PV = $500,000

r = 6.5%

n 30

P = 500,000 x( 0.065/ ( 1- (1 + 0.065) -30)}

p = 500,000 x (0.065/ (1-1+.065)-30)

p= 500,000 x (0.065 / 1-0.1511860661)

P =500,000 x (0.065 /0.848814)

P= 500,000 x 0.076577436

Yearly withdrawals = $38, 288.718

3 0

3 years ago

you plan to deposit $1,500 quarterly for 35 years at 7% interest, compounded monthly. how much will you have in the account in 3

VikaD [51]

After 35 years, you will have $911,053.82 in the account.

This is based on a quarterly deposit of $1,500 per year for a period of 35 years at 7% interest, monthly compounded.

Data and Calculations:

Quarterly Deposit = $1,500

Number of years = 35 years

N (# of periods) = 140 (35 x 4)

I/Y (Interest per year) = 7% (0.583% per month)

PV (Present Value) = 0

Quarterly PMT (Periodic Payment) = 1500

P/Y (# of periods per year) = 4

C/Y (# of times interest compound per year) = 12

PMT made at the of each period

Results:

Future Value = $911,053.82

Sum of all periodic payments = $210,000.00 ($1,500 x 140)

Total Interest = $701,053.82 ($911,053.82 - $210,000)

Thus, after 35 years, the account will have a balance of $911,053.82.

Learn more: brainly.com/question/17028320

7 0

2 years ago

As part of PSM standards, hazard communication standards require employers who use hazardous chemicals to _____.

dusya [7]

As part of PSM standards, hazards communication standards require employers of different companies who use hazardous, unsafe and life threatening chemicals "to check, evaluate, classify and label each of those chemicals". These standards are developed and established by OSHA (Occupational Safety and Health Organization).

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3 years ago

Some part of income inequality is likely to be the result of discrimination. But other factors responsible for inequality includ

balandron [24]

Answer:

Differences in abilities and talents

Explanation:

Income inequality refers to variation or discrepancy between income levels of individuals. Income inequality arises on various accounts one of which being, difference in abilities and talents.

All individuals possess different skill sets and their efficiencies vary too. Some individuals are more creative and talented than others while some are more laborious and hardworking.

Each skill set has it's own demand and thus, income is fixed as per the demand of a particular skill set for a given sector.

This leads to some earning lot more than others and differences in pay scales as per the abilities individuals possess.

6 0

4 years ago

In 2011 oil production in Libya was interrupted by political unrest. At the same time, the demand for oil by China continued to

kondaur [170]

Answer:

As a result of the political unrest in Libya, the supply of oil would fall, As a result the supply curve would shift to the left. This would lead to fall in equilibrium quantity and a rise in price.

The increased demand for oil would shift the demand curve to the right. The equilibrium price and quantity would increase

Taking these two effects together, equilibrium price would rise and there would be an indeterminate effect on equilibrium quantity

Please check the attached image for a graph showing these shifts

b. As a result of the change in supply, supply would increase. This would increase equilibrium quantity and equilibrium price would fall. in addition with the increase in demand for oil, equilibrium quantity would rise and there would be an indeterminate effect on equilibrium quantity

Explanation:

7 0

3 years ago