Portfolio Performance
Introduction
Complicated subject
Theoretically correct measures are difficult to
construct
Different statistics or measures are
appropriate for different types of investment
decisions or portfolios
Many industry and academic meas
assignment on options ones like these are also done on the slides.
29. You are attempting to value a call option with an exercise price of $100 and one year to expiration. The
underlying stock pays no dividends, its current price is $100, and you believe
Option valuation Black
Scholes
Black-Scholes Option Valuation
Co = SoN(d1) - Xe-rTN(d2)
d1 = [ln(So/X) + (r + 2/2)T] / (T1/2)
d2 = d1 + (T1/2)
where,
Co = Current call option value
So = Current stock price
N(d) = probability that a random draw from a
norm
The Greeks
Courtesy of John Hull
Rotman
Delta
Delta of a portfolio is the partial derivative of a portfolio
with respect to the price of the underlying asset.
2
Delta of the Option
Option
price
Slope =
B
A
Stock price
3
Gamma
Gamma () is the rate of ch
Options -2
Intro: Individual Equilibrium
Option valuation: What is the equilibrium price for an option?
In essence, we are interested in market equilibrium prices. It
is, however, easier to understand from an individual investors
point of view first.
No
Replication and option pricing
Class only
Taken from: Derivatives : The Tools That Changed
Finance
By Phelim P. Boyle & Feidhlim Boyle
No Arbitrage Principle
the no-arbitrage principle:
two investment strategies that have the
same
payoffs in the future sh
In Class Exercises on equity
1. A firm has net income of $1 million with
250,000 shares outstanding with a total
market value of $16 million. What is its
P/E ratio?
XYZ Company has expected earnings of
$3.00 for next year and usually retains 40
per cent
Stock Valuation
Law of one price two assists with the
same risk and the same expected cash
flow should trade at the same price.
Book value =
net assets (liabilities + preferred shares )
value of common shares
Notice this is NOT its MARKET VALUE
Market
Class exercise March 30
-apr1
Limited time post
. A portfolio consists of 400 shares of stock and 200 calls on
that stock. If the hedge ratio for the call is 0.6, what would be
the dollar change in the value of the portfolio in response to a
one dollar d
Class exercise 1 options
1
S0 = 100 , two possible outcomes are 120 or 90
interest rate 10% , X= 110 so call is worth 10 or 0,
PV of 90 =81.82 . suppose you leverage and set up
the following portfolio.
Stock value
90
120
-loan repayment
-90
-90
Total
Performance measure
exercise
What is the Sharpe measure of performance
evaluation for The Carlyte Group?
What is the Treynor measure of performance
evaluation for The Carlyte Group
Calculate the Jensen measure of
performance evaluation for The Carlyte
ch 16 answers to ch 16 assign 1
5. The required return is 9 percent. k =
$1.22 (1.05)
+0.05 =.09 =9%
$32.03
6. The Gordon DDM uses the dividend for period (t + 1), which would be 1.05.
$35 =
$1.05
r =.08 =8%
( k - .05)
7. The PVGO is $.56:
PVGO =$41 -
$3
16. Suppose that the following factors have been identified for the Canadian economy: the growth rate of
industrial production, IP, and the inflation rate, IR. IP is expected to be 3 percent, and IR 5 percent. A stock
with a beta of 1 on IP and .5 on IR c
Class exercise 1 options
1
S0 = 100 , two possible outcomes are 120 or 90
interest rate 10% , X= 110 so call is worth 10 or 0,
PV of 90 =81.82 . suppose you leverage and set up
the following portfolio.
Stock value
90
120
-loan repayment
-90
-90
Total
Chapter 14 from text
The following problems are based on questions that have appeared in past CFA examinations.
question 24
1.
A 6 percent coupon bond paying interest annually has a modified duration of 10 years, sells for
$800, and is priced at a yield t
Some exercises mix of short answer and
MCQ do in class
1. Suppose that all investors expect that interest rates for the
4 years will be as follows:
What is the price of 3-year zero coupon bond with a par
value of $1,000?
2. Suppose that all investors expe
these are from the text problems for review for test II
5.
Jand, Inc. currently pays a dividend of $1.22, which is expected to grow indefinitely at 5 percent. If the
current value of Jand's shares based on the constant-growth dividend discount model is $3