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TRANSCRIPT
Slide 3
• Students Offering Support is a national
network of student volunteers that work
together to raise funds and increase the
quality of education and life for those in
Latin America.
• All of the money raised through SOS
Exam-AIDs is funnelled directly into
sustainable educational projects in Latin
America
Slide 4
Contact: [email protected] for more information about these amazing outreach
opportunities!
Laurier SOS raised over $15 000
last year to build a primary
school in Cero del Padre,
Nicaragua. This could not have
been done without generous
donations like yours.
“These boys were the true
inspiration of the trip. They
motivated the volunteers to wake
up early and work as hard as
they could in the limited time that
they had in the community.
Their enduring passion for life and
positive attitude has made an
impact on the volunteers
forever.” – Kelly & Scott, SOS
Outreach volunteers, 2011
"As some of you may know, 90 percent of all the money SOS raises every year goes towards building sustainable development projects in Latin America. SOS has been visiting communities all across Latin America since 2007 and takes 40-60 volunteers each year to help build schools, community centers, greenhouses, medical centers and other important projects. This year, Laurier SOS is planning four more outreach experiences for volunteers to participate in. For more information about this amazing opportunity, contact [email protected] or go to our website at www.LaurierSOS.com."
Slide 5
Laurier SOS Sponsor
The Embassy Bar & Grill
“Come as you are, stay for a while!”
Coordinators to say blurb: The Embassy is an upscale pub located on King Street North. They offer a wide variety of delicious fare that won’t hurt your bank account. Thursday - Saturday they offer a wide selection of live entertainment starting at 10pm. “Come as you are, stay for a while!"
Slide 6
Agenda
• Canadian Financial System
• Stocks
– Margin buying
– Short Selling
– Options
• Time Value of Money
• Bonds
• Technology
• Political Factors
– Sole Proprietorship
– Partnership
– Corporation
Slide 7
Canadian Financial System
• There are four “pillars”
1. Chartered Banks – the most important part of
the Canadian financial system, they expand
money supply through deposits
2. Alternate Banks – smaller, independent banks
3. Life Insurance Companies
4. Investment Dealers – facilitate trading
The lines between them have blurred. Example: Toronto-Dominion (TD) bank bought out Canada Trust (a trust company [alternate bank]) and became TD Canada Trust. They also run TD Waterhouse, and investment dealer 1. Big five own 90% of total Canadian Bank assets Bank of Canada loans money to the big banks and controls money supply through open market transactions and bank rate 2. Trust companies and credit unions 3. Insurance companies and venture capitalists
Slide 8
Investment Vehicles
• The main types of investment vehicles are stocks, bonds
and options
– They are trades on securities markets, first primary
then secondary
• Other investment vehicles are blue chip stocks, small-cap
stocks, penny stocks, Canada Savings Bonds – CSBs,
Guaranteed Investment Certificates – GICs, Treasury Bills -
T-Bills, mutual funds
Primary markets are where securities are sold for the first time, to investment bankers Secondary markets are where any other investor can buy and sell them, such as the TSX or the Dow Jones
Slide 9
Market Order
• An order that an investor makes through a broker or brokerage service to buy or sell an investment immediately at the best available current price. A market order is the default option and is likely to be executed because it does not contain restrictions on the buy/sell price or the timeframe in which the order can be executed.
• In order to get this transaction to go through, you pay your broker a commission (in this course we assume 2%)
• DON’T FORGET to account for commission when you make a market transaction
Slide 10
Capital Gains
• You want to capitalize on a stock RISING
• Share Appreciation
• Buy at a price and sell at a higher price
• Capital Gain -> How much did you gain on your transactions
– Capital Gain = (Sale Price – Buy Price – Commissions)
– Yield = What you make / What you paid
= Capital Gain / Purchase Price
Slide 11
Going Long
• Going long is simply buying a stock and selling it later
• Example: Buy a 150 ABC shares at $10/share and selling
those shares a month later at $13/share. What is your
capital gain and yield?
Sell 150 shares at $13 $1950
Less: 2% IN 30Yield: 381
1500
= 25.4%
Bought at $10 $1500
450
2% OUT 39
Capital Gain $ 381
Therefore your capital gain is $381 dollars and your yield is 25.4%
Slide 12
Margin Buying
• Leverage is the concept of engaging in a transaction that
has a greater value than the amount that you have
available
– Offers the potential for higher reward at the cost of the
potential for higher risks
• Margin buying is when you borrow money from your broker
to complete a transaction, so you only put up part of the
cost
• Your margin in the stock must always be greater than the
minimum margin requirement.
– If the prices of the stock goes down, you will be subjected to a
‘margin call’
-a margin call is when you must pay more money to the broker to increase the amount of your equity in the stock, as the market value of the stock went down, but the brokers loan stayed the same, so the margin is greater than the percent they originally agreed to loan you. *for the purpose of this course, you do not have to worry about paying interest on the loan from the broker
Slide 13
Problem
Say you have $1500 to invest. Your broker is willing to offer
you an additional 25%, so your margin requirement is 75%. If
you then buy ABC shares for $10 and sell them a month later
for $13, how much is your capital gain?
Slide 14
Margin Buy
Step #1: Calculate the broker loan
0.75x = $1500
x= $2000
So your broker loan = $2000 - $1500 = $500
Step #2: Calculate capital gain/loss
Buy 200 shares at $10/share
Sold 200 shares for $13 $2600
Bought for $10 2000
600
Less: 2% in 40
2% out 52
Capital Gain $508
Yield = 508/1500
= 33.9%
Therefore, the
capital gain for
this margin buy
is $508 and its
yield is 33.9%
As you can see, the yield is higher than in the going long example, even though the numbers were the same
Slide 15
Margin Call
Step #1: Calculate the adjusted broker loan
CMV = 200 x $8/share = $1600
Broker Loan = 1600 x 0.25 = $400
Step #2: Calculate the margin call
Margin call = $500* - $400 = $100*Previous broker loan
Therefore, in order to meet the margin call the investor will
need to add $100 to their margin account.
What if the stock went from $10 down to $8 during the
month, instead of up to $13? What is the amount on your
margin call?
Slide 16
Selling Short
• You want to capitalize on a stock FALLING
• You borrow the shares from a broker and sell them right away. Keep the funds in your “short account”
• When the stock falls, you use your funds to buy the stocks on the market at a lesser price
• Return the stock to the broker, and keep the profit you made from the transaction
• Your account must maintain a 150% credit balance (your account must always have 150% of the stock value at any given time!)
• If the stock goes up, its called a short call
-Don’t forget you incur commission on all transactions -If dividends are declared, whoever sold the stock short is liable for the extra dividends
Slide 17
Selling Short
Stock Price
• $35 on May 1st
• $40 on June 1st
• $33 on July 1st
– Let’s analyze the transaction details for 100 shares that occur on our each of these dates (assuming we sell short on May 1st buy back on July 1st)
Slide 18
Answer
Step 1: Determine the amount in your short account.Proceeds from sale of shares: 100 shares at $35 = $3500
2% commission = $70
Short account is 150% of CMV: 1.5($3500) = $5250
You must invest the difference: $5250 - $3500 = $1750
Step 2: Determine the amount of your short CallCMV of the stock is 100 shares at $40 = $4000
Broker expects you to have 150% of this in your short account: 1.5($4000) = $6000
You currently have $5250 in your short account, so your short call will be the
difference: $6000 - $5250 = $750
Your total current invest is the sum of your two payments: $1750 + $750 = $2500
Step 3: Determine your capital gainCost to buy back shares: 100 shares at $33 = $3300
Commission = 0.02($3300) = $66What you get back is the difference between the short account and the cost to
buy back: $6000 - $3300 = $2700Capital Gain is the amount you got back less the amount you paid and commission
Capital gain = $2700 - $2500 - $70 - $66 = $64
Slide 19
Options
• An option is a contract giving its owner the right to buy or
sell an share at a fixed price before a given date. There
are 100 shares per contract.
• Exercising the option is the act of buying or selling the
underlying asset.
• The fixed buy or sell price for the underlying asset is the
option's strike or exercise price.
• The maturity date of the option is when the option
expires.
Slide 20
Options
Types:
- PUT option: the option to SELL a security at a specified
price
- CALL option: the option to BUY a security at a specified
price
Option Premium = Intrinsic Value + Time Value
• Intrinsic Value: difference between the market price and
strike price
- Call’s Intrinsic Value = (Selling Price – Strike Price)
- Put’s Intrinsic Value = (Strike Price – Selling Price)
• Time Value: An extra amount added to the intrinsic value
to compensate for the writer’s opinion on future
movement of the asset (usually a missing variable)
Put: if the price of a stock goes down, you can buy the stock at that price, and the writer of the stock will buy it from you at the exercise price Call: if the price of a stock goes down, the writer of the stock will sell it to you at the strike price, and then you can sell it on the open market for the current market price -Usually how it works though is that the writer of the stock will pay you whatever you would have made, instead of doing through the market Intrinsic value can’t be negative, so if it is, the intrinsic value on the option is just 0 I
Slide 21
Options
MEGA Brands is currently undergoing litigation regarding the
safety of some of their products. Thus, you decide to
purchase a put option on their common stock in hopes that
the litigation will lower the price of the stock. The put
option expires in four months and has a strike price of
$29.14. The put option is currently trading for $5, while the
common stock is currently trading for $37.89. At maturity,
what is your profit if the stock price is $24.61? (Calculate to
2 decimal places). Would you exercise?
Step 1: Pull out the important information- Option premium is $5
- Strike price of $29.14
- Market price at maturity is $24.61
Slide 22
Answer
Step 2: Calculate the cost of the option premium Premium is $5/share and there are 100 shares per option: 100($5) = $500
Step 3: Determine your capital gain when exercised at maturity
Sell 100 shares for $29.14 $2914
Buy shares for $24.61 $2461
453
Less: Premium 5002% IN 49.22
2% out 58.28
2% on premium 10
Capital Gain $ -165.50
Therefore you would have a capital loss of $165.50 if the option was exercised at
maturity. However, I would still exercise the option at this time because my loss would
only be $165.50, as opposed to not exercising, where my loss would be the full $500
I paid for the option.
In general, you exercise a put option if the market price is lower than the strike price, to minimize your losses or make money, and you exercise a call option if the market price is higher than the strike price, again to minimize your losses or make money.
Slide 23
Options
Shares of Wayne Enterprises are currently trading for $21.92.
Put options on Wayne Enterprises shares, which expire in six
months and have a strike price of $28.37, are trading for
$10.45. At maturity, what is the profit to a put option writer
if the stock price is $29.39? (Calculate to 2 decimal places).
Also determine the intrinsic value and time value of the
option premium.
Slide 24
Answer
• In this example, the selling price is $28.37, which is less
than current market price of $29.39, so whoever bought
the stock will not exercise the contract.
• The writer of the stock will make what the contract was
sold for, less the commission.
Step #1: Gather important information
For the first question: 100 shares, $10.45/share
For the second question: $28.37 strike price, $21.97 MPV
Step #2: Calculate profit
100 shares at $10.45/share $1045
Less: 2% out 20.90
Profit $1024.10
Slide 25
Step #3: Calculate intrinsic and time value
Intrinsic value = strike price – market price
= $28.37 – $21.97 = $6.40
Time value = option price – intrinsic value
= $10.45 - $6.40 = $4.05
Therefore, the profit that the option writer receives is
$1024.10, the intrinsic value is $6.40 and the time value is
$4.05.
Slide 26
Time Value of Money
Time Value is the tool for valuing anything that yields cash
flows over time.
• What is the current value of my future cash flows?
• Is money earned today, equal to money earned
tomorrow?
0.50 0.50 0.50 0.50
2.00
Why are these seemingly equivalent cash flow streams actually different?
These $0.50 payments can be RE-
INVESTED
Slide 27
Time Value of a Single Amount
FV = Future Value
AMT = Single Amount
r = the interest rate
n = the number of periods
PV = Present Value
AMT = Single Amount
r = the interest rate
n = the number of periods
0.50
These $0.50 payments can be RE-INVESTED at the prevailing interest rate over this n-year period
0.50(1+r)^n
PV =AMT
(1+ r)nFV = AMT × (1+ r)n
Slide 28
Time Value of a Single Amount
FV = Future Value
AMT = Single Amount
r = the interest rate
n = the number of periods
PV = Present Value
AMT = Single Amount
r = the interest rate
n = the number of periods
0.50/(1+r)^-n
These payments can be RE-INVESTED at the prevailing interest rate over this n-year period to be worth $0.50
at the end of the n years
0.50
PV =AMT
(1+ r)nFV = AMT × (1+ r)n
Slide 29
Future Value of Single Amount
Annual Compounding (Uses the effective annual rate)
0 1 2
0 1 2
Semi-Annual (Uses the effective semi-annual rate)
Quarterly (Uses the effective quarterly rate)
0 1 2
Daily (Uses the effective daily rate)
0 1 2
IMPORTANT: These “r”s depend on the length of the compounding period
FV = AMT × (1+ r)730
FV = AMT × (1+ r)8
FV = AMT × (1+ r)4
FV = AMT × (1+ r)2
Slide 30
Present Value of Single Amount
Annual Compounding (Uses the effective annual rate)
0 1 2
0 1 2
Semi-Annual (Uses the effective semi-annual rate)
Quarterly (Uses the effective quarterly rate)
0 1 2
Daily (Uses the effective daily rate)
0 1 2
IMPORTANT: These “r”s depend on the length of the compounding period
PV =AMT
(1+ r)2
PV =AMT
(1+ r)4
PV =AMT
(1+ r)8
PV =AMT
(1+ r)730
Slide 31
Problem
Step #1: Draw a timeline
Step #2: Determine important information
Step #3: Plug values into the equation
1000
X 1.12= $1120 1254.4X 1.04= X 1.12 =$1404.928
r=.12 PMT = $1000 n=35
Therefore,
the future
value of this
amount
would be
$52,799.
62.52799$
12.01100035
Amount Single
FV
Today 1 2 35
?
What is the future value of $1,000 in 35 years at 12%?
Slide 32
Problem
If you are offered an investment that pays $100 in one year’s time, how much will you pay for it? Your alternative is to put your money in the bank at 10%.
$100?
PV =AMT
(1+ r)n
Step 1: Draw out the timeline
Step 2: Write out the formula
Step 3: Determine the numbers to plug into the formula
AMT = $100 r = 10% = 0.1 n = 1
Step 4: Plug numbers into the formula PV =$100
(1+ 0.1)1
Step 5: Compute the answer
Step 6: Write out a therefore statement
PV = $90.91
Therefore, I would not pay more than $90.91 for this investment, because that is
the amount I could put in the bank for an equal amount in 1 years time.
Since the alternative is to put the money in the bank for 10%, you will not be willing to buy an investment with an interest rate lower than 10%. You will accept 10% or higher. With this in mind, use ten percent in the present value of a single amount as the highest you will be willing to pay.
Slide 33
Nominal Interest Rate
• Also known as APR – it is just a simple interest rate that is
annualized
• For single amounts, you can just find the effective interest
rate by dividing the APR by the number of compounding
periods.
1. If you are looking for semi annual rate -> APR / 2
2. If you are looking for the quarterly rate -> APR / 4
3. If you are looking for a “m” period rate -> APR / m
• You must also remember to multiply the number of
periods, n, by the number of compounding periods, m.
Slide 34
Nominal Interest Rate
Effective Rate for Payment Period= 1+rnom
m
æ
èç
ö
ø÷
m*p
-1
rnom = rate given
m = # of compounding periods per year
p = payment period measured in fractions of a year
• For multiple payments, if the interest periods and payment
periods are the same, you can find the interest rate the
same way as for a single amount
• If the interest periods and payment periods are not the
same, you use the following formula
Slide 35
Nominal Interest Rate
• You would also use this formula to determine when an
interest rate for two different compounding periods makes
them equal.
For to be true, then:
Effective Rate for Payment Period= 1+rnom
m
æ
èç
ö
ø÷
m*p
-1
rnom = rate given
m = # of compounding periods per year originally
p = payment period measured in fractions of a year
rsemi =rnom
2AMT ×(1+ rsemi )
2 = AMT × (1+ rquarter )4
rquarter = (1+ rsemi )2
4 -1= (1+rnom
2)
1
2 -1
In this case:
Slide 36
Problem
You wish to deposit $7,000 in an account at the Shylock
Bank. The bank pays interest of APR 10% compounded
quarterly for 3 years, and then switches to semi annual
compounding for 4 years at an equivalent effective semi
annual rate. What is the future value in the account after
seven years?
Slide 37
Answer
Step 2: Determine the interest rates for the first 3 years and
for the last 4 yearsAPR/# of compounding periods = 10%/4 = 2.5% for the first three years
Step 1: Draw out the timeline
$7000
3 years 7 years
10% APR
compounded
quarterly
10% APR compounded
semi-annually
equivalent to quarterly
?
AMT ×(1+ rsemi )2 = AMT × (1+ rsemi )
4
Divide by AMT
Take the square root of both sides
Subtract 1
(1+ rsemi )2 = (1+ rquarter )
4
1+ rsemi = ((1+ rquarter )4 )
12
rsemi = (1+ rquarter )2 -1
For the last four years, we want
= (1.025)2 -1
The interest rate is given as APR, but the compounding periods are in quarters, so 4 times per year. Since this is just a single amount, to determine the quarterly interest rate, we just divide APR by the number of compounding periods. The square root is the equivalent to taking the power of 1/2
Slide 38
Answer
Step 3: Determine the amount of the $7000 after 3 years
Formula: FV = AMT × (1+ r)n
Numbers to plug into formula: AMT = $7000 r = 2.5% = 0.025 n = 3(4) = 12
Plug numbers into formula: FV = $7000 × (1+0.025)12
Compute (to 4 decimal places): $9414.2218
Step 4: Determine the total amount after 7 years
Formula: FV = AMT × (1+ r)n
Numbers to plug into formula: AMT = $9414.2218 n = 4(2) = 8
r =1.0252 -1Plug numbers into formula: FV = 9414.2218×(1+ (1.0252 -1))8
Compute (to 2 decimal places): $13975.47
Step 5: Write out a therefore statement
Therefore, the $7000 dollars will grow to $13975.47 after four years if the
bank uses this interest method.
Follow the same format for any other TVM question. You already have the timeline, then go formula, numbers, plug in, compute and write out a concluding statement
Slide 39
Multiple Constant Payments
• Called an annuity
Today 1 2 3
PVordinary annuity = PMT1
r-
1
r(1+ r)né
ëê
ù
ûú
Today 1 2 3
PVannuity due = PMT1
r-
1
r(1+ r)né
ëê
ù
ûú× (1+ r)
xx
x
x
x x
?
?
Slide 40
Multiple Constant Payments
• Called an annuity
Today 1 2 3
FVordinary annuity = PMT(1+ r)n -1
r
é
ëê
ù
ûú
Today 1 2 3
FVannuity due = PMT(1+ r)n -1
r
é
ëê
ù
ûú× (1+ r)
xx
x
x
x x
?
?
Slide 41
Problem
Uriah Heep celebrated his 18th birthday by opening a savings
account at the Thames River Bank and depositing $3300. He
continued to deposit the same amount on every subsequent
birthday until he was 24 years old. After depositing $3300 on his
24th birthday Uriah decided to abandon his savings plan. He
never saved again, but he left the accumulated savings in the
bank account. The bank paid an interest rate of 7%. When Uriah
turned 65, he withdrew the money from the bank. What was the
amount of his withdrawal?
Slide 42
Answer
• This is a future value of annuity due for the first seven
years and then a single amount for the next 40 years.
Step #1: Draw a timeline:
$3300
Today 7 65
?
Slide 43
Step #2: Calculate the future value of the annuity due for
the first seven years
PMT = $3300
r = 7%
n = 7
Step #3: Calculate the future value a single amount for the
remaining 40 years
AMT= $30557.3485
r = 7%
n = 40
)1(1)1(
dueannuity rr
rPMTFV
n
)07.01(07.0
1)07.01(3300
7
dueannuity
FV
3485.30557dueannuity FV
40
amount single )07.01(3485.30557 FV
nrPMTxFV )1(amount single
73.457579amount single FVTherefore, the amount of
Uriah’s withdrawal was
$457579.73.
Slide 44
Problem
You are 40 years old and want to retire at age 55. Each year,
starting one year from now, you will deposit an equal amount
into a savings account that pays 6.8% interest. The last deposit
will be on your 55th birthday. On your 55th birthday you will
switch the accumulated savings into a safer bank account that
pays only 3.5% interest. You will withdraw your annual income
of $150000 at the end of that year (on your 56th birthday) and
each subsequent year until your 85th birthday (you expect to
pass away later that year). When you die you want to leave a
bequest of $350000 to your children. How much do you have to
save each year to make this retirement plan happen?
The easiest way to do this question is to split it into two parts, first
determine the present value of an ordinary annuity with $150000 payments
and the present value of a lump sum of $350000. Second, determine the
payments of an ordinary annuity with a future value of the amount you
determined in the first part.
Slide 45
Answer (for the first part)
Step 1: Draw the timeline
0 1 2 30
?$15000
$35000
$15000 $15000 . . . . . . . . . . . . . . . . . . . . . .
Step 2: Write out the formula
PV = PVordinaryannuity +PVsingle amount
Step 3: Determine numbers to plug into the formulas
PMT = $150000 AMT = $350000
r = 3.5% = 0.035 n = 30
PV = PMT1
r-
1
r(1+ r)né
ëê
ù
ûú+AMT
(1+ r)n
Slide 46
Step 4: Plug the numbers into the formula
Step 5: Compute (remember that this is an intermediate step
to the full problem, so round to 4 decimal places0
PV = $1500001
0.035-
1
0.035(1+ 0.035)30
é
ëê
ù
ûú+
$350000
(1+ 0.035)30
PV = $2883504.255
A regular calculator will only go to three decimal places for this question. You won’t be penalized.
Slide 47
Problem
You are 40 years old and want to retire at age 55. Each year,
starting one year from now, you will deposit an equal amount
into a savings account that pays 6.8% interest. The last deposit
will be on your 55th birthday. On your 55th birthday you will
switch the accumulated savings into a safer bank account that
pays only 3.5% interest. You will withdraw your annual income
of $150000 at the end of that year (on your 56th birthday) and
each subsequent year until your 85th birthday (you expect to
pass away later that year). When you die you want to leave a
bequest of $350000 to your children. How much do you have to
save each year to make this retirement plan happen?
Slide 48
Answer(for second part)
Step 1: Draw the timeline0 1 2 15
$0 ? ? ?$2883504.255
Step 2: Write out the formula
FVordinary annuity = PMT(1+ r)n -1
r
é
ëê
ù
ûú
Step 3: Determine the numbers to plug into the formula
FV = $2883504.255 r = 6.8% = 0.068 n = 15
Step 4: Plug the numbers into the formula
$2883504.255 = PMT(1+ 0.068)15 -1
0.068
é
ëê
ù
ûú
The answer to this part will also be your final answer
Slide 49
Step 5: Rearrange and solve for PMT
PMT =$2883504.255
(1+ 0.068)15 -1
0.068
é
ëê
ù
ûú
PMT = $116527.41
Step 6: Write out a therefore statement
Therefore I have to save $116527.41 per year to make this retirement plan
happen.
Slide 50
Bonds
What is a Bond?
Just as people need money, so do companies and
governments. A company needs funds to expand into new
markets, while governments need money for everything from
infrastructure to social programs.
Slide 51
Bonds
What are the components of a bond?
1. Maturity Date:
2. Face Value/Par Value: The value you loan. You get this
back on the maturity date
3. Principal/Bond Price: The price you pay for the bond, ie.
The amount you pay to the issuer in order to receive a loan
at maturity
4. Coupon Payment: Face Value * Coupon Rate% / 2
5. Yield To Maturity: Annual rate of return if you hold your
bond to maturity (the interest you earn)
2. Typically, a single bond will have a $1000 face value 3. The price of bonds is determined using the time value of money information found earlier (PV of an ordinary annuity plus PV of a single amount [$1000]) 4. The coupon rate is the stated percentage of interest that the seller of the bond will pay to bondholders Bonds sellers pay out interest payments (coupon payments) twice a year
Slide 52
Bonds
• If interest rates RISE, prices of old bonds will FALL
If interest rates FALL, prices of old bonds will RISE
Why do these bond prices vary with the interest rate?
How do you derive the yield to maturity formula?
Yeild =
coupon rate x face value + face value - price paid
time to maturity
price paid
Bonds vary inversely with market interest rates. This is because as interest rates go down, old bonds with higher rates become more attractive to investors, so the demand goes up, and thus drives the price up. The opposite happens if interest rates go up, they become less attractive and demand goes down.
Slide 53
Problem
To raise funds for software development for the gun registry,
the Federal Government of Canada has issued bonds on
behalf of the Department of Justice. The bonds, called “Gun
Bonds” have a face value of $1,000, two years to maturity
and a 6% coupon rate (annual coupons with the first coupon
due in one year). The bonds are priced at $1,018.86. What is
the yield to maturity on the Gun Bonds?
Slide 54
Bond Yield to Maturity
• Simply plug the required variables into the bond yield
formula
Coupon rate:6%
Face value: $1000
Price paid:1018.86
Time to maturity: 2 years
Therefore, the yield if held until maturity is 5%.
paidprice
maturitytotime
paidpricevaluefacevaluefaceratecoupon
Yield
86.10182
86.10181000)100006.0(
Yield
Yield =7%
Slide 55
Problem
Step 1: Draw out the timeline
Step 2: Write out the formula
What would you pay for the following bond structure?
- 3% coupon, maturing in 15 years, FV = 1000, 4% APR
compounded semi annually
0 1 2 15
? $15 $15 $15$15$15 . . . . . . . . . . . . . . . . .
$1000
PV = PVordinaryannuity +PVsingle amount
PV = PMT1
r-
1
r(1+ r)né
ëê
ù
ûú+AMT
(1+ r)n
Slide 56
Answer
Step 3: Determine the numbers to plug into the formula
PMT = $15
AMT = $1000
r = APR/2 = 4%/2 = 2% =0.02
n = 15(2) = 30
Step 4: Plug the numbers into the formula
PV = $151
0.02-
1
0.02(1+ 0.02)30
é
ëê
ù
ûú+
$1000
(1+ 0.02)30
Step 5: Compute (to 2 decimal places)
PV = $888.02
Step 6: Write out a therefore statement
Therefore, I would pay $888.02 for this bond today
Slide 57
Break Time!
We’re going to take a quick break now. Feel
free to get up and stretch your legs. We’ll
start going again in 5 minutes.
Slide 58
Technology
• What is TECHNOLOGY? (from a business perspective)
– Anything tangible that affects what produced how it is
produced and sold, and how the organization is
managed.
– Is always changing, demands constant adaptation
– NOT limited to computers, internet and information
tech.
Slide 59
Technology – Positives
• Speeds up production
– Reduces cost
– Enables larger quantities
– Increases efficiency
• Better products
– Quality – innovation
• Communication gaps are bridged
• Affects Porter’s forces
Slide 60
Technology - Negatives
• Easy to recreate (imitate)
• Excessive Information
• Unfamiliarity to organizations
• Constant change can be a hassle
• Differences in standards through evolution
Slide 61
IT – Information technology
• The various devices for creating, storing, exchanging, and
using information
• ATM, email, inventory software
• Makes collection and access easy and efficient
– Distance work possible
– Instant access
Slide 62
Concepts - Technology
• Installed base
– More customers means more influence
• Sunk investment (lock-in
– Larger = greater resistance to switch
• Switching costs
• Complementary goods – needed for value; creates vicious
or virtuous cycle
• Network effects
– value depends on users – if no one uses, its pointless
Slide 63
Disruptive Innovations
• Represent
innovation
that
creates a
new
market or
new way of
doing
things
compared
to old
Slide 64
Why do they cause large firm
failure?• Serving existing customer base and sure-fire revenues and
not seeing validity of a different opportunity leads to a
strategy that results in disaster!
• Organizational processes weed out ideas that don’t
address current customer needs
- Avoid small, uncertain, unfamiliar markets – these
technologies start out in small niches, that seem
financially unattractive
Slide 65
Types of Innovations
Knowledge/capabilities
challenged:
Knowledge/capabilities
unchallenged:
Architecture/
Organization
structure
challenged:
RADICAL
INNOVATION
(e.g. calculator compared to
slide rule)
ARCHITECTURAL
INNOVATION
(e.g. desktop computers
compared to IBM
mainframes)
Architecture/
Organization
structure
unchallenged:
MODULAR
INNOVATION
(e.g. digital camera
compared to film camera)
INCREMENTAL
INNOVATION
(e.g. image stabilizing
feature added to digital
cameras)
Slide 66
Political Factors
Elements:
• Laws, regulations
• Taxes
• Trade agreements or conditions
• Political system
• Political stability
Slide 67
Government
• Influences business in a number of ways
– As a customer, competition, regulator and taxation
agent
– Also provide financial assistance and essential services
(police, hospitals, education
• Businesses also effect government in a number of ways
– Lobby, trade associations, advertise
Slide 68
Forms of Ownership
• Sole Proprietorship
• Partnership
• Corporations
– Public
– Private
• Other forms
– Franchises
– Co-operatives
– Joint Ventures
Slide 69
Sole Proprietorship
• Single owner and legal entity
• Advantages
– Easiest form to set up.
• Less regulations
• Government support
– Owner solely controls the business.
• Disadvantages
– Unlimited liability.
– Can be hard to raise capital.
• Limited capital
– Lack of perpetuity
– TAX!!!!!!!!!!!!!!!!!
Slide 70
Partnership
• Two or more people, with same legal entity
• Advantages
– Shared risk.
– Shared management.
• Disadvantages
– Risk of conflict between partners.
– Shared decision making.
– Lack of continuity
– TAX!!!!!!!!!!!!!
Slide 71
Partnerships
• General
– Joint and several liability
• Joint – everyone shares liability
• Several – one partner may be liable for all
• Limited
– Limited by the investment, due to inactivity
Slide 72
Corporations
• Separate legal entity
• Finances raised by issuing shares and bonds.
• Governed by a BOD (board of directors)
– Internal
– External
• Types
– Public
– Private
– Crown
Slide 73
Corporation
• Advantages
– Limited liability.
– Easier to raise capital.
– TAX!!!!!
– Perpetual existence
– Financing and ownership transfer
• Disadvantages
– Most expensive form of business to set up.
– Involves a lot of ongoing paperwork.
– Double Tax!!!!!
– Complexity (regulation and cost of formation)
Slide 74
Large vs. Small Corporations
• Small Private
• borrow owner’s collateral
(not unlimited liability)
• small business tax rebate
• afford fewer experts
• owners directly involved
• max. 50 shareholders
• little govt. regulation
• secrecy possible
Large Public
• shares traded publicly
• taxed at higher rate
• double taxation
• afford more experts
• Board of Directors govern the
company
• unlimited shareholders
• excessive govt. regulation
• transparency
Slide 75
International Trade
• What is it?
– Trading outside the
nation’s borders.
– US, Europe, China,
India, Middle East
• Barriers
– Social and cultural
barriers
• Economic
- Exchange rates
• Legal
- Tariffs and subsidies
- Policies, and
business practice
laws
• GATT
• WTO
• EU
• NAFTA
Slide 76
Exam Tips
• No penalties for wrong answers on multiple choice – take a
guess if you don’t know
• Don’t spend too much time on any one question, go back
to it later if you have time
• Show all your work on problems, you may get part marks
• Don’t cram!!!!