Practice Quiz (Analyze and Apply questions from the General Financial Principles, Professional Conduct, and Regulations) Flashcards

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1
Q
Frank is a fireman with the local volunteer fire department. He and his wife, Mary, want to retire in 25 years. They expect to live approximately 30 years after retirement and need $50,000 (in today's dollars) annually during retirement. Unfortunately, they have just spent their savings on refurbishing their home and have no retirement savings. Inflation is currently 3% and is expected to continue indefinitely. Frank believes that he can earn an 8% rate of return before retirement but expects to earn only about 6% during retirement because of the change in asset allocation that he expects to occur at retirement. How much does Frank need to accumulate by the time he retires to fund his goal?
A)
$2,135,766.
 B)
$2,075,320.
 C)
$1,416,270.
 D)
$1,836,170.
A

A

Step 1: Inflate needs until retirement:

PV	=	−50,000
n	=	25
i	=	3 (inflation rate)
FV	=	104,688.90
Step 2: Discount annual needs to beginning of retirement:
BEG mode	
PMT	=	−104,688.90
n	=	30
i	=	2.9126 [(1.06 ÷1.03) − 1] × 100 (inflation-adjusted discount rate)
PVAD	=	2,135,766.46, or $2,135,766.46
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2
Q

A client provides the following information regarding his assets and liabilities as of December 31, 2017. Determine which of the items listed below should be presented on his statement of financial position as of December 31, 2017.

  1. Stock options granted September 30, 2017, exercisable one year from date of grant.
  2. A bonus receivable of $10,000. The client estimates the bonus based on the prior year’s bonus and cannot determine the precise amount because the board of directors meets February 15, 2018, to determine if and when a bonus will be paid.
  3. Huge Oil, Inc., stock in the amount of $15,000. The client owns 1,000 shares priced at $10 per share on December 31, 2017. Huge Oil, Inc., declared a $5 per share dividend on December 10, 2017, payable January 15, 2018, to the stockholders of record as of December 31, 2017. The client participates in the company’s dividend reinvestment plan.
  4. The client is a cosigner on a loan. The proceeds were used by his son to purchase an automobile. The principal balance on the loan is $4,500, and his son has made all payments to date.
  5. Consulting fees receivable related to services performed by the client’s spouse. The engagement was completed, an invoice was mailed on December 10, 2017, and the credit terms were net 30.
A

3 and 5

To determine whether the items should be included in the statement of financial position, the asset or liability should have the following characteristics: (1) The asset or liability is a fixed and determinable amount. (2) The receipt or payment is not contingent on the occurrence of a particular event. (3) The receipt or payment does not require future performance of service. Statement 1 is fixed and determinable but requires that one year pass before the options become exercisable. Statement 2 is not fixed and determinable and requires that the board of directors meet and authorize the bonus. Statement 3 addresses the issue of constructive receipt of the dividend. Because the record date was December 31, 2017, and the client held the shares as of that date, the client will receive the payment regardless of whether the client owns the stock after December 31, 2017, and the amount should be shown on the statement of financial position. Statement 4 requires that the client’s son defaults on the loan and, therefore, should not be included in the statement of financial position. Finally, Statement 5 should be included because the spouse is awaiting payment and no further service is required to receive the payment.

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3
Q

John and Marcy have one child Rex. Rex, a single parent, has one daughter, Lauren, and is temporarily living with John and Marcy. John and Marcy have presented the following information to their financial planner regarding their checking and savings accounts: (NOTE: each owner has an equal right of withdrawal)

Marcy and John checking	$100,000
Marcy and John savings	$30,000
Marcy, John, and Rex checking	$60,000
Rex and Lauren checking	$80,000
Based on the information provided, what is the total FDIC coverage afforded to John assuming the accounts are held at the same financial institution?
A)
$190,000
 B)
$55,000
 C)
$85,000
 D)
$100,000
A

C

The total coverage afforded to John is $85,000 [(0.5 × 100,000) + (0.5 × 30,000) + (0.333 × 60,000)]. The interests in all joint accounts he owns at the same FDIC-insured depository are added and insured up to a maximum of $250,000.

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4
Q
Two years ago, Samantha and Troy hired Mr. Williams, a CFP® professional, to manage their money. The couple started to worry about their asset management account when they noticed the account had lost about 25% of its value while the market as a whole had only lost 7%. After contacting another advisor, they discovered that Mr. Williams was not actively managing their account as stated in both the investment advisory agreement and Form-ADV Part 2A. Instead, Mr. Williams simply purchased securities at the relationship onset and did not bother to rebalance or contact the couple regarding their losses. Based on the information provided, which of the following best describes Mr. Williams' actions with regards to the couple?
A)
Criminal mischief
 B)
Civil malfeasance
 C)
Breach of contract
 D)
Violation of fiduciary responsibility
Explanation
If a financial planner has agreed to perform certain services for a client and fails to honestly, properly, and completely perform those contractual duties, the financial planner will be civilly liable to the client for breach of contract.
A

C

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5
Q
Randy wants to accumulate $300,000 by retirement, but he currently has a limited amount of discretionary funds. Which of the following methods of determining periodic retirement plan deposits would allow him to save the least amount the first year?
A)
Annuity due.
 B)
Serial payment.
 C)
Average payment.
 D)
Ordinary annuity.
A

A

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6
Q
Kenneth and Liz, ages 50 and 39, respectively, want to invest $3,000 per year toward the future college expenses of their 8-year-old son, John, who will begin attending college in 10 years. Kenneth and Liz had hoped that John would get an athletic scholarship because he is a talented tennis player. However, due to John's recent elbow injury, his parents have decided to plan for the likely event that he will not get an athletic scholarship. Because they have a modest income they are concerned about qualifying for financial aid. Which of the following investment vehicles would best serve their needs?
A)
Coverdell Education Savings Account (CESA).
 B)
Roth IRA for Kenneth.
 C)
Roth IRA for Liz.
 D)
Custodial account for John.
A

B

The Roth IRA for Kenneth is the best choice because it keeps an asset out of the son’s name (for financial aid purposes). The Roth IRA also allows contributions up to $5,500 with an additional catch-up amount of $1,000 for individuals at least 50 years old (for 2017).

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7
Q

Which of the following persons or entities are exempt from registering as an investment advisor under the Investment Advisers Act of 1940?

  1. Mr. Smith, a local attorney, who conducts a financial planning course at a local community college for a fee.
  2. Mrs. Jones, an accountant, who provides financial planning advice for her clients for an hourly fee.
  3. Fizzle brokerage services that provides complimentary investment advisory services to its clients that set up a special brokerage account.
  4. TBC bank that offers securities through the subsidiary TBC advisers.
A

Only choices 3 and 4 are correct. Fizzle brokerage will be exempt because they do not charge a separate fee for their financial planning services. TBC bank will not have to register because the planning services are offered through a subsidiary, therefore, just the TBC advisers will be required to register.

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8
Q

Todd and Diana are establishing a college fund for their 14-year-old son, Mike. The couple does not wish to invest aggressively but is willing to take a moderate amount of investment risk. Which of the following investments makes the most sense for the college fund and why?
A)
A variable life insurance policy owned by Mike because it saves taxes and provides a life insurance benefit.
B)
A small-cap stock mutual fund owned by Mike because it provides the best return at a modest level of risk consistent with the time horizon.
C)
A series of taxable zero-coupon bonds owned by Mike because they can provide appropriate funds at the correct times.
D)
A money market checking account jointly owned by Todd and Diana because this account is very safe.

A

C

Small-cap stock mutual funds are too risky of an investment for a short term time horizon. A variable life insurance policy does not match the investment vehicle to the time horizon of the investment. A money market checking account will probably not provide them with a rate of return that will keep up with inflation. The zero-coupon bond allows the couple to match the time horizon of the investments to the duration of the bonds and avoid reinvestment rate risk.

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9
Q

Barry, a CFP® professional, has been providing financial planning services to Logan for 20 years. During their annual meeting, Logan discloses to Barry that he has been sued and may be liable for a judgment that will exceed his insurance coverage. Logan realizes he may need to file for bankruptcy under Chapter 7. Barry tells Logan that if he files for Chapter 7 bankruptcy, some of his debts may not be dischargeable. Which of the following items will remain Logan’s responsibility even though he files for Chapter 7 bankruptcy?

  1. Student loans
  2. Child support
  3. Debt due to intentional tort claims
  4. Alimony
A

all items will remain Logan’s responsibility

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10
Q

Shane estimates his opportunity cost on investments at 10.5% compounded annually. Which of the following is the best investment opportunity for Shane?
A)
To receive $45,000 today.
B)
To receive $5,500 at the beginning of each year for 15 years.
C)
To receive $120,000 at the end of 10 years.
D)
To receive $5,500 at the end of each year for 19 years.

A

A

find the PV of each option

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11
Q
Katy and Robert, ages 24 and 26 respectively, have just bought their first home. They each have a professional career and discovered Kate is pregnant with their first child. They have decided that they should meet with a financial planner to discuss their insurance and retirement plans. Even though the couple adamantly tells the planner they wish to purchase some additional life insurance to supplement their minimal group insurance, the planner tells them not to worry about this issue but, rather, start investing in a traditional IRA. If one of the them should die, the planner may have subjected himself to liability for which of the following?
A)
Negligence
 B)
Breach of contract
 C)
Criminal misfeasance
 D)
Attractive persuasion
A

A

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12
Q

While reviewing the Stewarts’ finances, Ms. Brown, a CFP® professional, is calculating a variety of financial ratios. The Stewarts have provided the following information:

Principal and interest	$1,200 per month
Insurance premiums	$600 per year
Property taxes	$2,400 per year
Gross income	$5,000 per month
Based on the information provided, calculate the Stewarts' housing cost ratio.
A)
3.45
 B)
0.50
 C)
0.84
 D)
0.29
A

D

pay attention to year or monthly cost (all costs should be converted to monthly)

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13
Q

Jackie has decided to refinance her current mortgage balance of $175,900 with 15 years remaining on the note. Her current interest rate is 7.85%. She would like to reduce her principal and interest payment to below $1,500 per month and she is willing to pay all closing costs from her savings. In addition, she has a reputation for being slightly risk averse. She has been provided with the following information by her mortgage broker:

Mortgage Type Interest Rate Closing Costs
15-year fixed 5.45% 1 point
30-year fixed 6.15% ½ point
3-year ARM 2/6 3.00% 2 points
Based on the information provided, which of the following mortgages would best suit Jackie’s needs?

A)
15-year fixed rate mortgage
 B)
30-year fixed rate mortgage
 C)
None of these choices would be appropriate
 D)
3-year adjustable rate mortgage with 2/6 cap
A

A

The 15-year fixed rate mortgage is the best choice for Jackie. Because she is risk averse, she may tend to feel uncomfortable with an ARM. Also, the 30-year mortgage has a higher interest rate and the time frame to pay off the mortgage may be too long considering she has only 15 years left on her existing mortgage.

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14
Q
In order to give the stock price a boost, a corporate officer posts favorable, yet slightly inaccurate information, about his company's earnings in an internet chat room. After a few days of posting and blogging, the stock starts to rise a couple of points after which the officer decides to exercise a number of stock options in order to make a sizable profit. Which of the following acts did this officer violate by his actions?
A)
The Investment Advisers Act of 1940
 B)
Securities Exchange Act of 1934
 C)
The Investment Company Act of 1940
 D)
Securities Act of 1933
A

B

This officer may have violated the price manipulation provisions of the Securities Exchange Act of 1934. Price manipulation includes schemes such as wash sales, pools, circulation of manipulative information, and false and misleading statements about securities.

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15
Q

Jane, age 26, is having a difficult time saving any money. She would rather spend her money on clothes and entertainment. However, Jane is realizing that she should start to save for her future needs and goals. She works as a dental assistant and has a current salary of $35,000 annually. She is newly eligible for the company’s Section 401(k) plan. What would be the best method to recommend in order to encourage her save?

A)
Purchase savings bonds from her bank and place them into a safety deposit box.
B)
Place a portion of her income into a money market mutual fund via an automatic debit from her checking account.
C)
Contribute the maximum percentage allowed into a Section 401(k) plan using payroll deduction.
D)
Implement a systematic withdrawal plan from her checking account into a Traditional IRA.

A

B

Given that Jane has no real savings or a history of savings, she should develop a strategy in which money is automatically directed into liquid savings.

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16
Q

The government is concerned about inflation and a possible recession. In an effort to curb these events, the Federal Reserve decides to sell government securities in the open market. Which of the following is not a consequence of this action?
A)
Less money will be circulating in the economy
B)
Interest rates will increase
C)
Banks will aggressively lend money to stimulate growth
D)
Consumer purchasing may decrease

A

C

17
Q
Todd grew up in the period following the Depression and is very conservative. He has individual accounts at three separate federally chartered banks with balances of $265,000, $300,000, and $200,000. What is the total amount insured by the FDIC?
A)
$700,000.
 B)
$765,000.
 C)
$250,000.
 D)
$500,000.
A

A

Each individual account in a federally chartered bank is insured against loss up to $250,000. Therefore, his two accounts with balances in excess of $250,000 will only be insured up to $250,000 each for a total of $500,000. The third account will be insured for the entire $200,000. The total insured amount is $700,000 ($250,000 + $250,000 + $200,000).

18
Q

Randy and Rosemarie have just had twin boys. Randy, a financial advisor, knows the importance of planning ahead and would like to begin saving for his children’s college education. Both Randy and Rosemarie expect their children to attend private schools and that tuition for such an education will be $25,000 per year (in today’s dollars) per child.

Inflation has been about 4%, and tuition has been increasing about 6% a year. If the boys are expected to attend four years of college beginning in 18 years, how much should Randy and Rosemarie save at the end of each year for the next 18 years to fund their goal? Assume that Randy and Rosemarie invest in equities and can earn an after-tax rate of return of 9%. Round to the nearest hundred dollars.

A)
$6,700.
 B)
$4,600.
 C)
$13,300.
 D)
$9,200.
A

C

Using the three-step method to solve.

Step 1: Calculate the first year’s tuition:

PV	= −25,000
i	= 6
n	= 18
FV	= 71,358.48
Step 2: Calculate amount needed at age 18:
BEG mode
PMT	= −71,358.48
i	= 2.83% {[(1.09 ÷ 1.06) − 1] × 100}
n	= 4
PVAD@18	= 273,865.41
Step 3: Calculate amount needed at age 18:
END mode
FV	= 273,865.41
i	= 9
n	= 18
PMT	= −6,630.71
Because they have two sons, the payment must be doubled: $6,631 × 2 = $13,262.
19
Q

Under the liquidation provisions of Chapter 7 of the Federal Bankruptcy Code, which of the following statements apply(ies) to a person who has voluntarily filed for and received a discharge in bankruptcy?

  1. The person will be discharged from all debts.
  2. The person can obtain another voluntary discharge in bankruptcy under Chapter 7 after three years have elapsed from the date of the prior filing.
  3. The debtor will be granted an order for relief if the petition is proper and if the debtor has not been discharged in bankruptcy within the past six years.
A

3 only

In a voluntary liquidation under Chapter 7, a petitioning debtor does not have to be insolvent unless it is a partnership and the debtor will be granted an order for relief if the petition is proper and if the debtor has not been discharged in bankruptcy within the past six years. Examples of debt that cannot be discharged under Chapter 7 include back taxes (up to three years), debts associated with fraudulent activities, alimony, child support, debt due to intentional tort claims, student loans, and consumer debts of more than $650 for luxury goods or services owed to a single creditor within 90 days of the order for relief.

20
Q

Luanne is a CFP® professional with a practice that specializes in working with medium to large employers. She offers financial planning advice, specifically advice on Section 401(k) plan asset allocations, for a nominal hourly fee. Based on the information provided, which of the following statements regarding the registration requirements of Luanne is(are) CORRECT?

  1. Luanne will not be required to register as an investment adviser under the Investment Advisers Act of 1940 because she charges only a nominal fee.
  2. Luanne’s firm will not be required to provide a Form-ADV Part 2A to her clients because she is working primarily with employer groups.
A

neither are correct

Neither statement I nor II is correct. Luanne is required to register as an investment adviser under the Investment Advisers Act of 1940 because she is in the business of providing advice regarding securities for a fee regardless of the amount she actually charges. Also, she will be required to furnish her clients with a copy of her Form-ADV Part 2A.

21
Q

The Steins have provided the following information to their financial planner:

Liquid assets $17,500
Nondiscretionary monthly expenses $25,000
Current assets $42,000
Discretionary monthly expenses $12,000
Monthly debt payments $1,000
Calculate the Steins’ emergency fund ratio (EFR) and determine if this number is within the acceptable range.

A)
Yes, the Steins’ EFR is 1.43 months indicating that they have a debt problem.
B)
No, their ratio is 0.70 which is well below the 3-6 months of coverage recommend by most planners.
C)
Yes, their ratio is 0.70 months which is above the recommended amount of coverage.
D)
No, the Steins’ EFR is above the 3-6 months of coverage recommended.

A

B

Emergency fund ratio (EFR) = liquid assets ÷ nondiscretionary monthly expenses: EFR = $17,500 ÷ $25,000 = 0.70 months. Most planners suggest 3-6 months’ worth of coverage of fixed and variable outflows.

22
Q

Burt is delinquent on a number of debt obligations including his car loan and a couple of credit cards. His lenders have been trying to contact Burt in order to settle his accounts. Which of the following would be an appropriate action by his lenders?

A)
A credit card company may call him at any time day or night to recover the debt.
B)
A creditor may contact his next of kin to force repayment of the debt.
C)
The bank may send him a certified letter telling Burt that they may use the court system to collect the debt.
D)
His bank may contact him at his place of employment without the consent of his employer.

A

C

23
Q

true or false?

A lender may not contact a debtor at his place of employment if the employer objects

A

true

24
Q

true or false?

A lender may not contact a debtor at unusual or inconvenient times

A

true

25
Q

true or false?

A lender may not contact third parties about the payment of the debt without court authorization

A

true

26
Q

Arrange the following steps in preparing a budget into the correct order in which these steps are performed by a CFP® professional.

  1. Forecast next year’s income on a monthly basis.
  2. Calculate each expenditure as a percentage of gross income.
  3. Create a spreadsheet of the client’s expenditures.
  4. Determine the timing and amount of expenditures.
A

3,2,1 then 4

The proper order in creating a budget include: compiling financial documents, calculate each expenditure as a percent of gross income, identify which expenditures are subject to inflationary pressure, forecast next year’s income on a monthly, basis, determine the timing of expenditures, project the budget for the next two months, compare actual to expected expenditures, continue to analyze budget for adjustments.

27
Q

Which of the following persons would be required to register with FINRA?

  1. Jennifer, a CFP® professional, wants to market IRAs funded with mutual funds.
  2. Louis, a CPA, is planning to add fixed insurance products to his portfolio of client offerings.
  3. Jordan, an attorney, wants to provide private money management services, including securities trading, to his clients for a fee and/or commission.
  4. Hannah, a life insurance agent, who wishes to sell variable universal life insurance policies.
A

1, 3, and 4

A person must be registered with FINRA in order to sell securities. Therefore, Jennifer, Jordan, and Hannah need to register.

28
Q
Tom and Mary Jane want to purchase a beach house in 5 years. They know they will have to accumulate at least $150,000 in today's dollars. They expect to earn a 10% after-tax rate of return (compounded annually) and anticipate an average annual inflation rate of 4%. They want to make substantially equal payments, adjusted for inflation, at the end of each year. What serial payments will they have to make at the end of years 2 and 5, respectively? (Round to the nearest dollar)
A)
$27,801 and $28,913.
 B)
$30,070 and $31,273.
 C)
$26,732 and $27,801.
 D)
$28,914 and $32,524.
A

D

END mode
FV	=	150,000
PV	=	0
i	=	5.7692 [(1.10 ÷ 1.04) - 1] × 100
n	=	5
PMT	=	(26,732.35)
$26,732.35 × 1.04 = $27,801.64 = Payment at end of year 1

Payment at end of year 2 = $27,801.64 × 1.04 = $28,913.71
Payment at end of year 3 = $28,913.71 × 1.04 = $30,070.26
Payment at end of year 4 = $30,070.26 × 1.04 = $31,273.07
Payment at end of year 5 = $31,273.07 × 1.04 = $32,523.99

29
Q

Fred wants to transfer $50,000 of AAA rated corporate bonds to his 9-year-old daughter, Sarah. The bonds have a coupon rate of 8% and will mature in 10 years. He is interested in using a Uniform Gift to Minors Act (UGMA) account to hold the bonds. If he transfers the bonds to the UGMA account, which of the following statements is CORRECT?
A)
The interest income earned by the bonds within the UGMA account will be taxed at trust income tax rates.
B)
UGMA account assets are not considered in determining financial aid.
C)
The interest income in the account will be income tax free if the account is used to fund Sarah’s college education.
D)
A portion of the interest income earned by the bonds within the UGMA account will be taxed at Fred’s marginal income tax rate.

A

D

Because Sarah is under age 19, a portion of the interest income will be taxed at the parent’s (Fred’s) income tax rate. UGMA account assets are considered an asset of the child and are considered in determining financial aid. The income from this type of account is not tax free.

30
Q

Brad, a CFP® professional, owns a busy and successful financial planning practice. Recently, Brad and a new client signed a letter of engagement under which Brad was to develop a comprehensive estate plan for the client. Because he was busy, Brad delegated his new client to a colleague, Kevin, a CFP® professional employed by another firm. Kevin, although inexperienced in the area of estate planning, proceeded to prepare the plan to the best of his knowledge. He gave the document to Brad who would ultimately meet with the client to discuss the details of the plan. Which of the following Principles did Brad and Kevin violate?

  1. By preparing the plan, Kevin violated the Principle of Competence.
  2. Brad violated the Principle of Diligence for delegating the plan to a colleague.
  3. By sharing the client information with Kevin, Brad violated the Principle of Confidentiality.
A

all were violated

31
Q

Mary Beth has decided to pursue her undergraduate degree by attending night classes at the local state college. Her employer is willing to help Mary Beth offset the costs of her college education. How much of the following expenses qualify for reimbursement under the Employer’s Educational Assistance Program?

Laptop	$700
Snacks	$150
Enrollment Fee	$100
Tuition	$2,750
Books	$400
School spirit wear	$150
A)
$3,150
 B)
$4,000
 C)
$4,300
 D)
$3,950
A

D

Under the Employer’s Educational Assistance Program, an employer can reimburse an employee’s tuition, enrollment fees, books, supplies, and equipment up to $5,250 per year (2017). Therefore, Mary Beth may be reimbursed up to $3,950 ($2,750 tuition + $400 books + $100 enrollment fee + $700 laptop). School spirit wear and snacks do not qualify for reimbursement under the program.

32
Q

According to prospect theory, investors are generally more concerned with:

A)
diminishing marginal utility, which suggests that expected return is more important than risk to these investors.
B)
paying more attention to information that supports their preconceived opinions and poorly made decisions, while disregarding accurate, unsupportive information.
C)
avoiding losses, which suggests that risk of loss may be the best measure of risk.
D)
fear of regret, which suggests that the prospect for outperforming a benchmark is the primary concern for these investors.

A

C

Behavioral investors are generally more concerned with avoiding losses, which implies that risk of loss may be the best measure of risk.

33
Q

Jack, age 43, works for the local newspaper as an editorial director. His wife, Jackie, is a stay-at-home mother raising their 2 children, Sarah and Nathan. Given the following information, calculate the amount available for an emergency fund and determine if this amount is sufficient based on general planning principles.

Cash $1,500
3-month CD $5,000
Money Market Mutual Fund $12,000
Savings account $5,700
10-year bond maturing in 3 months $20,000
Traditional IRA $56,000
Nondiscretionary cash flows (monthly) $2,000
A)
No, Jack has only $19,400 to cover any sudden obligations.
B)
Yes, Jack has $24,200 which is a satisfactory amount to cover his needs.
C)
Yes, Jack has $44,200 available to meet any emergencies.
D)
No, Jack has only $1,500 in cash to meet his immediate cash needs.

A

C

The emergency fund helps the client withstand a sudden negative financial disruption of income. Six months is generally used when the client is married with only one working spouse. Jack will need at least $12,000 to cover 6 months of his nondiscretionary cash flows. His emergency fund would equal $44,200 ($1,500 + $5,000 + $12,000 + $5,700 + $20,000) which is more than adequate to meet any sudden needs.

34
Q

Which of the following are some of the guidelines used for determining whether an individual is in the business of providing investment advice under the Investment Advisers Act of 1940?

  1. The adviser provides specific investment advice to a select group of clients.
  2. The adviser receives special compensation for providing the advice.
  3. Whether the advice is solely incidental to the noninvestment advisory business of the person giving the advice.
  4. Dictated by the specific asset allocation of a client’s investment portfolio.
A

1, 2, and 3

The asset allocation of a client’s portfolio is not one of the guidelines used to determine whether an individual is in the business of providing investment advice within the context of the Investment Advisers Act.

35
Q
A client is to receive $650 per month for five years at the beginning of each month beginning one year from today. What is the present value of all payments (rounded to the nearest dollar), assuming an annual discount rate of 9%?
A)
$31,548.
 B)
$28,943.
 C)
$30,339.
 D)
$34,387.
A

B

Step 1: Calculate the present value of an annuity of $650 per month for 60 months at a discount rate of 9%.

BEG mode
PMT	=	650
i	=	0.75 (9 ÷ 12)
n	=	60 (5 × 12)
Solve for PVAD	=	31,548
This provides the present value of an annuity one year from now.

Step 2: This amount is further discounted to the present, one year.

FV	=	31,548
PMT	=	0
i	=	9
n	=	1
Solve for PV	=	28,943, or $28,943