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CSC Formula Finder: Key Formulas for Canadian Securities Course

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The Formula Finder is a list of formulas in the CSC text listed by chapter.
Note! This information will NOT be provided with the final examination. You are expected to memorize the formulas
before the exam.
Chapter 4
GDP Expenditure
Approach
( )
GDP C I G X M= ++ + -
Where:
C = consumer expenditures
I = business spending and investment
G = government spending
XM = the amount of exports (X) and imports (M) that consumers and businesses
buy during the period
Key Words: Gross Domestic Product
Inflation Rate
CPI Current Period CPI Previous Period
Inflation Rate 100
CPI Previous Period
-
Key Words: Inflation
Chapter 7
Present Value (PV)
( )
1n
FV
PV
r
=
+
Key words: Income stream; coupon payment; worth
Present Value of an
Annuity (APV)
( )
1
11n
r
APV C r
éù
êú
-
êú
+
êú
=
êú
êú
êú
êú
ëû
Where:
APV = Present value of the series of coupon payments
C = Payment (the value of one coupon payment)
r = Discount rate per period
n = Number of compounding periods
Key words: Income stream; coupon payment; worth
CANADIAN SECURITIES COURSE (CSC)®
FORMULA FINDER
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The Formula Finder is a list of formulas in the CSC text listed by chapter.

Note! This information will NOT be provided with the final examination. You are expected to memorize the formulas

before the exam.

Chapter 4

GDP Expenditure

Approach

GDP = C + I + G + ( X - M)

Where:

C = consumer expenditures

I = business spending and investment

G = government spending

X – M = the amount of exports (X) and imports (M) that consumers and businesses

buy during the period

Key Words: Gross Domestic Product

Inflation Rate CPI Current Period CPI Previous Period Inflation Rate 100 CPI Previous Period

-

= ́

Key Words: Inflation

Chapter 7

Present Value (PV)

( 1 )

n

FV

PV

r

=

+

Key words: Income stream; coupon payment; worth

Present Value of an

Annuity (APV)

( )

1

1

1

n r APV C r

é ù ê - ú ê + ú = ê ú ê ú ê ú ê ú êë úû

Where:

APV = Present value of the series of coupon payments

C = Payment (the value of one coupon payment)

r = Discount rate per period

n = Number of compounding periods

Key words: Income stream; coupon payment; worth

CANADIAN SECURITIES COURSE (CSC)

®

FORMULA FINDER

Chapter 7

Treasury Bill Yield 100 Price 365 Yield 100 Price Term

-

= ́ ́

Key words: Short-term securities; treasury bills

Current Yield Annual Cash Flow Current Yield 100 Current Market Price

= ́

Key words: Current yield; cash flows; market price

Approximate Yield

to Maturity

( )

Interest Income Price Change per Compounding Period 100 Purchase Price Par Value 2

AYTM

±

= ́

+ ̧

Key words: Maximum price; par value; bond yield; price gains

Nominal Bond

Rate of Return

Nominal Rate = Real Rate +Inflation Rate

Key words: Inflation rate; nominal rate; real rate

Accrued Interest Coupon Rate Time Period

Accrued Interest Par Amount 100 365

= ́ ́

Where:

Time Period = The number of days of accrued interest

Key words: Accrued interest; coupon rate

Chapter 10

Intrinsic Value of a

Call Option

Price of the Underlying - Srike Price

Note: options cannot have intrinsic value less than zero. A negative result from the formula

above indicates the intrinsic value is simply zero.

Key Words: Intrinsic value; Value of an option

Intrinsic Value of a

Put Option

Strike Price - Price of the Underlying

Note: options cannot have intrinsic value less than zero. A negative result from the formula

above indicates the intrinsic value is simply zero.

Key Words: Intrinsic value; Value of an option

Chapter 14

Stock Intrinsic

Value (Dividend

Discount Model)

Div 0 ( 1 ) Div 1

Price

g

r g r g

+

= =

- -

Where:

Price = The current intrinsic value of the stock in question

Div 0 = The dividend paid out in the current year

Div 1 = The expected dividend paid out by the company in one year

r = The required rate of return on the stock

g = The assumed constant growth rate for dividends

Key words: Dividend growth rate

Return on Common

Equity (ROE)

Profit

Total Equity

Key words: ROE; return on investment

Working

Capital Ratio

Current Assets

Current Liabilities

Key words: Current ratio

The Quick Ratio Current Assets Inventories

Current Liabilities

-

Key words: The acid test; corporate ratio; liquidity ratio

Asset Coverage

Tangible Assets ( Current Liabilities Short Term Debt)

Total Debt Outstanding

- -

Key words: Asset value

Debt/Equity Ratio Total Debt Outstanding

Equity

Key words: Debt burden; capital structure

Chapter 14

Cash Flow from

Operations

Profit + All Deductions Not Requiring a Cash Outlay All Additions Not Received in Cash

  • The Change in Net Working Capital

-

Key words: Cash flow value; cash earnings

Cash Flow/

Total Debt

Cash Flow from Operating Activities

Total Debt Outstanding

Key words: Debt evaluation; cash flow; financial position

Interest Coverage Profit Before Interest Charges and Taxes

Interest Charges

Gross Profit Margin Revenue Cost of Sales

Revenue

-

Key words: Net profit margin; operating ratio; gross margin

Net Profit Margin Profit Share of Profit of Associates

Revenue

-

Key words: Net profit

Net (or After-Tax)

Return on

Common Equity

Profit

Total Equity

Key words: Return on common equity

Inventory

Turnover Ratio

Cost of Sales

Inventory

Key words: Inventory ratio; turnover ratio

Dividend

Payout Ratio

Common Share Dividends 100 Profit

́

Chapter 15

Return on

Investment

Cash Flow (Ending Value Beginning Value)

Return 100 Beginning Value

+ -

= ́

Key Words: Rate of yield; return percentage

Real Rate of Return Real Return = Nominal Rate - Annual Inflation Rate

Key Words: Real return

Portfolio Return

Expected Return = R 1 ( W 1 ) + R 2 ( W 2 ) + +Rn ( Wn)

Where:

R = The expected return on a particular security

W = The proportion (weight or %) of the portfolio held in the security based on the

dollar value of the security

n = The number of securities in the portfolio

Key Words: Weighted average return

Chapter 16

Total Return

Formula (Pre-Tax)

Increase in Market Value Total Return 100 Beginning Value

= ́

Key Words: Total return %; real return

Sharpe Ratio p f p p

R R

S

s

-

=

Where:

Sp = Sharpe ratio

Rp = Return of the portfolio

R

f

= Risk-free rate (i., typically the average of the three-month T-bill rate over the

period being measured)

σ P

= Standard deviation of the portfolio

Key Words: Sharpe ratio

Chapter 17

NAVPS Total Assets Total Liabilities NAVPS Total Number of Shares or Units Outstanding

-

=

Key Words: Offering price; net asset value per share; redemption price

Offering/

Purchase Price

NAVPS

Offering Price 100% Sales Charge

=

-

Key Words: Purchase amount; load charge; sales charge; offering price

Selling/

Redemption Price

Selling/Redemption Price = NAVPS - Sales commission

Key Words: Commission; back-end load

Chapter 17

Management

Expense Ratio

Aggregate Fees and Expenses Payable During the Year MER 100 Average Net Asset Value for the Year

= ́

Key Words: M.E.; management fees

Chapter 18

Life Expectancy

Withdrawal Plan

Value of the Portfolio

Life Expectancy - Current Age

Chapter 21

Net Exposure Long Exposure Short Exposure

Net exposure 100 Capital

-

= ́

Key Words: long/short equity; net exposure

Chapter 23

Index-Linked GIC

Overall Return

Index Growth = (Ending Index Level - Initial Index Level) ̧ Initial Index Level ́ 100

Overall Return = Index Growth ́Participation Rate

Key Words: Index-Linked GIC