Transcript Document
Strategic Capital Group
Workshop #4: Bond
Valuation
Agenda
Operational Review
Present Value and the Time-Value of Money
Finding a Terminal Value
Valuing a Company and its Cash Flows
Final Thoughts
An Introduction to Present Value
Would you rather have $100 today or $110
dollars a year from now?
We have a choice…
Today
$100
1-Year from Now
$110
5% InterestWhat if there was a way to figure out how
much money in the future is worth in
Rate
today’s terms…
Future Value = Present Value(1+Interest Rate)^(Number of Years)
FV= PV*(1+i)^n
FV= 100*(1+.05)^(1)
FV= $105
How about now?
Today
$100
5-Years from Now
$105
FV=PV*(1+i)^n
FV=100*(1+.0067)^(5)
FV=$103.39
Going back to the future
We can also do the opposite of
calculating future value. We can
discount a future value back to the
present value to make direct
comparisons:
FV
(1 + i) ^ n
=
PV * (1 + i) ^ n
(1 + i) ^ n
FV
(1 + i) ^ n
We also refer to this as the
“discount rate”
= PV
The previous example:
Today
$100
5-Years from Now
$105
FV
PV =
(1 + i) ^ n
105
PV =
(1 + .0067) ^ 5
PV = $101.55
So…
A dollar today is worth more than a dollar in the
future because we can invest the dollar today
and get interest by the time the future comes
around. We refer to this as the time-value of
money.
But…
When will a stranger ever offer me the choice of having
$100 now or $105 later? What use do I have for this
stuff?
We use present value to calculate
terminal value and cash flow value of a
company in order to form a DCF, and can
use it to calculate internal rate of return.
Terminal Value
• Holding a company forever vs making and
exiting an investment
• Methods to value both of them
• Exit Multiple Method
Finding a multiple
• Use current multiple for the company,
industry average, or predict your own
• Try to be accurate, this is pretty important
Remember TEV
• Since you are valuing the whole company, use
a TEV multiple
• What can we put TEV over again?
Finding a Discount Rate
• This is where it starts to get hard
• What do you think the firms discount rate
should be?
• Cost of its alternatives
WACC
• Weighted Average Cost of Capital
• Current Cap Structure
• Cost of Debt
• Tax effect
Cost of Equity
Formula for WACC
Finally discounting it all
• Take all the cash flows and discount them
• Make your Terminal Value a final year cash
flow
• Discount it all back and you get the total value
of the firm
Finishing Up
• From firm value, how do we get to our share
price?
• Remember what Enterprise Value is
And that’s it
• The last two sessions covered upper division
finance
• Don’t worry if you don’t understand, just ask
for help
• To practice finance, always actually build the
model
Further Exercises
• What are your inputs?
– What if you’re wrong?
• What about Companies in general, what is a
good company?
• What about stuff outside of equity?