Question 1

Consider the following investment/dividend opportunities facing a company: 
Assume that the interest rate in the capital market is 12 per cent per period,and that the company has four equal shareholders (A,B,C and D).Also assume the company has chosen Projects Normal and Mega for investment.Suppose Shareholder B wishes to consume $165 now.What is his required repayment in the later period?

Accepted Answer

To determine the required repayment in the later period, we need to calculate the present value of B's consumption using the interest rate of 12 per cent per period.

PV = FV / (1 + r)n

Where PV is the present value, FV is the future value, r is the interest rate, and n is the number of periods.

In this case, B wishes to consume $165 now, so the future value is $165. The number of periods is not given, so we'll assume it's one period (since B wants to consume now and repay later).

PV = 165 / (1 + 0.12)

PV = 147.32

So B needs to repay $147.32 in the later period.

Now, let's look at the investment opportunities.

Project Normal has a net present value (NPV) of $100 and a dividend of $50 per period.

Project Mega has a NPV of $200 and a dividend of $70 per period.

Since the shareholders hold equal shares, each shareholder's share is 25% of the total investment.

Here's the calculation for each project:

Project Normal:

NPV: $100 x 0.25 = $25

Dividend: $50 x 0.25 = $12.50

Total: $37.50

Project Mega:

NPV: $200 x 0.25 = $50

Dividend: $70 x 0.25 = $17.50

Total: $67.50

Therefore, the best choice is Project Mega with a total return of $67.50.

Question 2

Fisher's separation theorem means that:

Accepted Answer

Fisher's separation theorem states that a company's investment decisions should be made based on maximizing shareholder wealth independent of financing decisions. This means that a company should invest up to the point where the rate of return on the marginal unit of investment equals the market interest rate, known as the internal rate of return. Therefore, choice (C) is correct, while choices (A) and (B) are incorrect. Choice (D) is also incorrect as one of the options given is correct.

Question 3

Consider the following investment/dividend opportunities facing a company: 
Assume that the interest rate in the capital market is 12 per cent per period.Also assume that the company has four equal shareholders (A,B,C and D).Will the shareholders support the company's decision to invest in Projects Normal and Mega instead of just Project Mega?

Accepted Answer

The answer of Consider the following investment/dividend opportunities facing a...

Question 4

Consider the following production possibilities curve: 
Point Q represents:

Accepted Answer

Point Q represents an intermediate case in which 30 units are invested at Time 1. This point lies on the production possibilities curve, indicating that it represents a combination of two different goods that can be produced with the given resources. Choosing point Q means allocating resources towards investment, which increases the production capacity, leading to an increase in the quantity of both goods that can be produced in the future.

Question 5

Fama (1970)outlines the sufficient conditions in order for all shareholders to agree about the exact nature of uncertainty.Which of the following statements is not one of the specified sufficient conditions?

Accepted Answer

The answer of Fama (1970)outlines the sufficient conditions in order...

Question 6

Consider the following graph. 
Which of the following statements is false?

Accepted Answer

The point (150,0) represents a resource allocation of 150 units at Time 1, not a dividend payment of zero units. The graph shows the relationship between resource allocation and dividend payments, and the amount of resources available at each time period. Option A is true because the vertical axis represents the amount of resources. Option C is also true based on the graph, as it shows that if no dividend is paid at Time 1, then 190 units would be available for consumption at Time 2. Finally, Option D is not the correct answer because there is at least one false statement among the options.

Question 7

Consider the following graph: 
What is the interest rate per period?

Accepted Answer

Looking at the graph, we can see that the starting balance is $1000 and the ending balance is $2000 after 10 periods. Therefore, the investment has doubled in 10 periods.
To calculate the interest rate per period, we can use the Rule of 72 formula, which is:
Number of periods = 72 / interest rate (in percent)
Using the given information, we can plug in the values as follows:
10 = 72 / interest rate (in percent)
Solving for the interest rate (in percent), we get:
interest rate (in percent) = 72 / 10 = 7.2%
Therefore, the closest answer choice is B, which is 7.14%.

Question 8

Consider the following investment/dividend opportunities facing a company: 
Assume that the interest rate in the capital market is 12 per cent per period.Assume the company has four equal shareholders (A,B,C and D),and has chosen Project Mega for investment.Suppose Shareholder A wishes to consume $50 now.What is her required repayment in the later period?

Accepted Answer

The answer of Consider the following investment/dividend opportunities facing a...

Question 9

Consider the following graph: 
Assume that the interest rate per period is 15 per cent.Calculate y.

Accepted Answer

The answer of Consider the following graph: 
Assume that the...

Question 10

Suppose that a company has X units of resources and is considering three investment/dividend policies,P₁,P₂ and P.The following graph shows market opportunity lines drawn through each of these points: The line through P₁ shows that:

Accepted Answer

The market opportunity line through P₁ has a steeper slope than the line through X, indicating that adopting policy P₁ would increase the shareholders' wealth from X to the point of intersection with the market opportunity line, which is W₁. Therefore, the best choice is to adopt policy P₁.

Question 11

Indifference curves are normally:

Accepted Answer

Indifference curves are typically convex to the origin, meaning they bow towards the horizontal axis as the level of C1 increases, reflecting diminishing marginal rates of substitution.

Question 12

Consider the following investment/dividend opportunities facing a company: 
Assume that the interest rate in the capital market is 12 per cent per period.Also assume the company has four equal shareholders (A,B,C and D),and has chosen Project Mega for investment.What amounts will Shareholder A have to finance her consumption in the later period,after consuming $50 in the first period?

Accepted Answer

The answer of Consider the following investment/dividend opportunities facing a...

Question 13

Consider the following investment/dividend opportunities facing a company: 
Assume that the interest rate in the capital market is 12 per cent per period.What is the NPV of Project Mini?

Accepted Answer

To calculate the NPV of Project Mini, we can use the formula:
NPV = (-Initial Cost) + (PV of all expected cash inflows)
The initial cost of Project Mini is $300. The expected cash inflows are $100 in year 1, $150 in year 2, and $200 in year 3. To calculate the PV of these cash inflows, we need to use the formula:
PV = (Cash inflow) / (1 + r)^n
where r is the interest rate and n is the number of periods.

Using this formula, we get:
PV of cash inflow in year 1 = 100 / (1 + 0.12)^1 = $89.29
PV of cash inflow in year 2 = 150 / (1 + 0.12)^2 = $106.19
PV of cash inflow in year 3 = 200 / (1 + 0.12)^3 = $118.88
Total PV of cash inflows = $314.36

Therefore, the NPV of Project Mini is:
NPV = (-300) + 314.36 = $14.36

Since the NPV is positive, choosing Project Mini is a good investment. However, we need to compare it with the other options to determine the best choice.

Question 14

Which of the following correctly represents the equation of a market opportunity line?

Accepted Answer

The answer of Which of the following correctly represents the...

Question 15

Consider the following investment/dividend opportunities facing a company: 
Assume that the interest rate in the capital market is 12 per cent per period.What is the NPV of Project Normal?

Accepted Answer

The answer of Consider the following investment/dividend opportunities facing a...

Question 16

Which of the following statements is false?

Accepted Answer

The statements A, B, and C are all based on foundational principles in finance. Statement A refers to the Modigliani-Miller theorem under the assumption of no taxes, no bankruptcy costs, and efficient markets, which posits that the value of a firm is unaffected by its capital structure. Statement B is related to the concept of the Capital Market Line (CML) in portfolio theory, which suggests that investors can achieve any point on the CML through borrowing or lending at the risk-free rate. Statement C is based on the dividend irrelevance theory proposed by Modigliani and Miller, which states that, under certain conditions, a firm's dividend policy does not affect its market value. Therefore, none of the given options is false within the context of their theoretical frameworks.

Question 17

Which statement is false with respect to the decision rule: accept a project if and only if [Return at Time 2 / (1 + i)- Δ] > 0?

Accepted Answer

The provided decision rule is a variation of the Net Present Value (NPV) rule, which is consistent with Fisher's separation theorem and aims at maximizing shareholder wealth by accepting projects with a positive NPV. Therefore, none of the statements A, B, or C is false; they all align with the principles of corporate finance and investment theory.

Question 18

The slope of a market opportunity line is given by:

Accepted Answer

The answer of The slope of a market opportunity line...

Question 19

Consider the following investment/dividend opportunities facing a company: 
Assume that the interest rate in the capital market is 12 per cent per period.The optimal decision would be to accept:

Accepted Answer

The answer of Consider the following investment/dividend opportunities facing a...

Question 20

Consider the following set of indifference curves: 
Investment Y is:

Accepted Answer

Investment Y is preferred to Investments X and Z, as it lies on a higher indifference curve. However, it is inferior to Investment W, as Investment W lies on a higher indifference curve than Investment Y. Therefore, the best choice would be to invest in Investment W.

Quiz 2: Consumption, Investment and the Capital Market

Fisher's separation theorem means that:

Consider the following production possibilities curve: Point Q represents:

Fama (1970) outlines the sufficient conditions in order for all shareholders to agree about the exact nature of uncertainty.Which of the following statements is not one of the specified sufficient conditions?

Consider the following graph. Which of the following statements is false?

Consider the following graph: What is the interest rate per period?

Consider the following graph: Assume that the interest rate per period is 15 per cent.Calculate y.

Suppose that a company has X units of resources and is considering three investment/dividend policies,P₁,P₂ and P.The following graph shows market opportunity lines drawn through each of these points: The line through P₁ shows that:

Indifference curves are normally:

Consider the following investment/dividend opportunities facing a company: Assume that the interest rate in the capital market is 12 per cent per period.What is the NPV of Project Mini?

Which of the following correctly represents the equation of a market opportunity line?

Consider the following investment/dividend opportunities facing a company: Assume that the interest rate in the capital market is 12 per cent per period.What is the NPV of Project Normal?

Which of the following statements is false?

Which statement is false with respect to the decision rule: accept a project if and only if [Return at Time 2 / (1 + i) - Δ] > 0?

The slope of a market opportunity line is given by:

Consider the following investment/dividend opportunities facing a company: Assume that the interest rate in the capital market is 12 per cent per period.The optimal decision would be to accept:

Consider the following set of indifference curves: Investment Y is:

Quiz 2: Consumption, Investment and the Capital Market

Fisher's separation theorem means that:

Consider the following production possibilities curve: Point Q represents:

Fama (1970) outlines the sufficient conditions in order for all shareholders to agree about the exact nature of uncertainty.Which of the following statements is not one of the specified sufficient conditions?

Consider the following graph. Which of the following statements is false?

Consider the following graph: What is the interest rate per period?

Consider the following graph: Assume that the interest rate per period is 15 per cent.Calculate y.

Suppose that a company has X units of resources and is considering three investment/dividend policies,P1,P2 and P.The following graph shows market opportunity lines drawn through each of these points: The line through P1 shows that:

Indifference curves are normally:

Consider the following investment/dividend opportunities facing a company: Assume that the interest rate in the capital market is 12 per cent per period.What is the NPV of Project Mini?

Which of the following correctly represents the equation of a market opportunity line?

Consider the following investment/dividend opportunities facing a company: Assume that the interest rate in the capital market is 12 per cent per period.What is the NPV of Project Normal?

Which of the following statements is false?

Which statement is false with respect to the decision rule: accept a project if and only if [Return at Time 2 / (1 + i) - Δ] > 0?

The slope of a market opportunity line is given by:

Consider the following investment/dividend opportunities facing a company: Assume that the interest rate in the capital market is 12 per cent per period.The optimal decision would be to accept:

Consider the following set of indifference curves: Investment Y is:

Suppose that a company has X units of resources and is considering three investment/dividend policies,P₁,P₂ and P.The following graph shows market opportunity lines drawn through each of these points: The line through P₁ shows that: