Please give me the correct answer for each multiple choice questions only one answer for each question

Question 1 (1 point)

If you invest $200,000 currently in a project that pays a 7.5% interest rate compounded annually, the amount of the investment after four years is closest to:

Question 1 options:

	$269,223
	$215,000
	$267,094

Question 2 (1 point)

An asset will pay $1,000 per year for six years, with the first payment being made one year from today. If the required rate of return is 12% per year, the amount you will pay for this asset is closest to:

Question 2 options:

	$5,200
	$4,111
	$4,659

Question 3 (1 point)

Assume an investment asset will pay $90,000 after three years with an interest rate of 8.5%. The current value of the investment asset is closest to:

Question 3 options:

	$68.444
	$72,970
	$70,462

Question 4 (1 point)

In investor wants to invest $500,000 in an asset paying a 4.5% interest compounded continuously for three years. The value of the investment in 3 years is closest to:

Question 4 options:

	$568,310
	$572,268
	$570,583

Question 5 (1 point)

You have a choice to take your retirement benefit either as a lump-sum or as an annuity. You can take a lump-sum of $5 million today or an annuity with 20 payments of $500,000 a year with the first payment starting today. The interest rate is 7.5% per year compounded annually. Which option is preferable, on the basis that it has the greater present value?

Question 5 options:

	The lump-sum payment option.
	There is no difference between the two options.
	The annuity payment option.

Question 6 (1 point)

A Government Bond pays $4,500 per quarter in perpetuity. If the required rate of return is 8%, the price of the bond today is closest to:

Question 6 options:

	$225,000
	$200,000
	$56,250

Question 7 (1 point)

Ms. Green is planning to borrow $400,000 from XYZ Bank with a 25-year fixed-rate mortgage with monthly payments, and the first payment is due in exactly one month. If the interest rate is 6% compounded monthly, Ms. Green's monthly payment is closest to:

Question 7 options:

	$1,993.88
	$2,456.35
	$2,209.10

Question 8 (1 point)

Consider a series of payments, each amounting to $7,000, which is set to be received by an investor in perpetuity. Payments are to be made at the end of each year, with the first payment expected to start at the end of year 5. If the discount rate is 4.5%, the present value of the perpetuity at t=0 is closest to:

Question 8 options:

	$130,443
	$124,826
	$155,556

Question 9 (1 point)

Firefly Corporation's net profit increased from $1,200,000 in 2017 to $2,460,000 in 2023. The net profit growth rate is closest to:

Question 9 options:

	9.39%
	12.71%
	5.00%

Question 10 (1 point)

A bank advertises that it pays an annual interest of 7% with quarterly compounding on its savings account. The effective annual rate is closest to:

Question 10 options:

	7.19%
	7.12%
	7.23%

Question 11 (1 point)

Consider the following annual returns: 3.7%, 5.2%, -2.1%, 4.2%, 0.8%, 8.7%.

The resulting geometric and arithmetic mean returns are closest to:

Question 11 options:

	Geometric mean: 3.36%; Arithmetic mean: 3.42%
	Geometric mean: 3.42%; Arithmetic mean: 4.12%
	Geometric mean: 3.25%; Arithmetic mean: 3.42%

Question 12 (1 point)

Which of the following statements is most likely in a negatively skewed distribution?

Question 12 options:

	Mode < Median
	Mean < Median
	Mean = Median

Question 13 (1 point)

The returns generated by a sample of five stocks from the Tokyo Stock Exchange are given in the exhibit below:

Stock	Return
A	9.2%
B	8.5%
C	4.8%
D	2.2%
E	-1.2%

The standard deviation of returns from this sample is closest to:

Question 13 options:

	0.20%
	4.35%
	3.87%

Question 14 (1 point)

Mary is conducting a study to investigate the price of poutine at various restaurants in Montreal. She conducts a sample survey by visiting 7 restaurants. In her sample, Mary finds that the mean price is $11, with a standard deviation of $1.3. Feeling that she has not yet eaten enough poutine, Mary decides to include two additional restaurants in her sample. These restaurants have poutine prices of $14 and $8. What is the standard deviation of her full sample of 9 restaurants?

Question 14 options:

	$1.6
	$1.3
	$1.9

Question 15 (1 point)

In a survey of 5,000 startup companies that operated in 2023, it was found that the distribution of profit margin for that year has the following box plot (five-number summary):

Maximum	150%
Q3 (3rd quartile)	65%
Q2 (median)	10%
Q1 (1st quartile)	-15%
Minimum	-30%

Which of the following statements is true about these 5,000 companies?

Question 15 options:

	The number of companies with 2023 profit margin greater than -15% is about one third of the number of companies with 2023 profit margin less than 65%.
	The number of companies with 2023 profit margin greater than 65% is the same as the number of companies with 2023 profit margin less than -15%
	1,000 of the companies had a 2023 profit margin between -15% and 10%

Question 16 (1 point)

Which of the following statements is most accurate?

Question 16 options:

	Correlation cannot be zero.
	Correlation cannot be greater than 1.
	Covariance is always positive.

Question 17 (1 point)

Consider the following information relating to two portfolios:

• Portfolio A's variance of returns: 3.55%
• Portfolio B's variance of returns: 6.41%
• Covariance of returns between the two portfolios: 2.15%

The correlation of returns between these two portfolios is closest to:

Question 17 options:

	0.67
	0.45
	0.23

Question 18 (1 point)

Assume that in any given year, the chance of having a year with inflation of more than 5% is 35%, the chance of inflation being between 3% and 5% is 50%, and the chance of a year with inflation below 3% is 15%. The probability of having three years in a row with an inflation rate higher than 5% is closest to:

Question 18 options:

	7.12%
	12.25%
	4.29%

Question 19 (1 point)

An investor owns shares of both Apple and Microsoft. He assumes that the probability of Apple's share price declining by more than 10% this year is 0.2, while the probability of Microsoft's share price declining by more than 10% is 0.1. The probability that either Apple or Microsoft's share prices will decline in price by more than 10% this year is closest to:

Question 19 options:

	0.19
	0.28
	0.32

Question 20 (1 point)

You want to assign five analysts to cover five different industries. The number of ways in which the assignment can be made is closest to:

Question 20 options:

	10
	20
	120

Question 21 (1 point)

There is a 60% chance that the economy keeps sinking into recession this year and a 40% chance that it will rebound. If the economy rebounds, Company XYZ will hire 2,500 employees. If the economy keeps sinking, there is a 70% probability that it will cut 1,500 jobs and a 30% probability it will go bankrupt and cut 12,000 jobs. The firm's expected job hires/cut is closest to:

Question 21 options:

	-160 employees
	+1,790 employees
	-1,790 employees

Question 22 (1 point)

A company which produces 5G communication equipment has two factories, A and B. 40% of the equipment are made in factory A, 60% in factory B. It has been established that 80% of the equipment produced by factory A meets specifications while only 75% of the equipment produced by factory B meets specifications. If a Telco buys the equipment, the probability that it meets specifications is closest to:

Question 22 options:

	0.81
	0.40
	0.77

Question 23 (1 point)

The probabilities that Bond A and Bond Z will default in the next two years are 20% and 18%, respectively. The probability that both bonds will default simultaneously in the next two years is 3%. The probability that Bond A will default given that Bond Z has already defaulted is closest to:

Question 23 options:

	10%
	62.5%
	16.7%

Question 24 (1 point)

In Toronto, Canada, there is an 80% chance of having a sunny day. The probability that there will be precisely 4 sunny days in Toronto in the next 8 days is closest to:

Question 24 options:

	0.26%
	5.71%
	4.59%

Question 25 (1 point)

A portfolio has an expected return of 9% with a standard deviation of 7%. If the returns are normally distributed, then the probability that the return will be greater than 16% is closest to (see Z-table):

Question 25 options:

	19.00%
	84.13%
	15.87%

Question 26 (1 point)

Saved

If P is a function of Q such that P = 300 - Q, and if TR = P * Q, what is the value of MR = dTR/dQ for Q=60?

Question 26 options:

	180
	120
	240

Question 27 (1 point)

V = 500/(1+r)^3 is the "value" today of a cash flow of $500 to be paid in 3 years. It is clearly a function of the interest rate r. What is the "percent change" (dV/V) in that value that corresponds to a 1% change in interest rate from r = 5%?

Question 27 options:

	+2.86%
	0%
	-2.86%