Section 1259
requires taxpayers to recognize gain with respect to certain
appreciated financial positions if the taxpayer engages in certain
statutorily enumerated
transactions that have the effect of eliminating substantially all
of a taxpayer’s risk of loss
and opportunity for gain, so-called “constructive sales.”
Regulations can expand the
definition of a constructive sale to include other transactions
that have “substantially the
same effect” as the statutorily enumerated transactions. In this
report, we recommend
that, to the greatest extent possible, the Treasury
Department2
provide objective standards
for evaluating whether or not a transaction is a constructive sale.
Specifically, this report
contains the following primary recommendations:
• A relatively simple test should be used to evaluate whether a
“costless
collar” (or nearly costless collar) is a constructive sale, taking
into account
only the width and duration of the collar and not the volatility of
the
underlying stock or other financial position;
• A put option or a short call option on an appreciated financial
position (but
not both together) should not be treated as a constructive sale as
long as
the option is not “in the money” (measured by forward prices in the
case of
options longer than one year) and does not have a term longer than
three years;
• The test for whether other positions (including in-the-money
options and
options with a term longer than three years) give rise to a
constructive sale
should be based on whether the value of those positions can be
expected to
move inversely to the value of the appreciated financial position
over a
significant range of prices and for a meaningful period of time;
and
• Treasury should provide specific guidance in the regulations on
the extent
to which they will apply retroactively, and should not merely state
that the
regulations will apply retroactively where necessary to prevent
abuse.
(A) enters into a short sale of the same or substantially
identical property;
(B) enters into an offsetting notional principal contract8
with respect to the
sale or substantially identical property;
(C) enters into a futures or forward contract9
to deliver the same or
substantially identical property;
(D) in the case of an appreciated financial position that is a
short sale or a
contract described in paragraphs (B) or (C) with respect to
any
property, acquires the same or substantially identical property;
or
(E) to the extent prescribed in regulations, enters into one or
more other
transactions (or acquires one or more positions) that have
substantially
the same effect as a transaction described in any of the
preceding
7. An investor holds a European call with strike Ke and maturity T on a non-dividend-...
The price of a European call option on a non-dividend-paying stock with a strike price of $50 is $6. The stock price is $51, the continuously compounded risk-free rate (all maturities) is 6% and the time to maturity is one year. What is the price of a one-year European put option on the stock with a strike price of $50? $2.09 $7.52 $3.58 $9.91
4. A trader buys a European call option and sells a European put option. The options have the same underlying asset, strike price and maturity. Show that the trader's position is equivalent to a forward contract with delivery price that is equal to the strike price of the options.
A 1-year European call and put options on a non-dividend paying stock has a strike price of 80. You are given: (i) The stock’s price is currently 75. (ii) The stock’s price will be either 85 or 65 at the end of the year. (iii) The continuously compounded risk-free rate is 4.5%. (a) Determine the premium for the call. (b) Determine the premium for the put.
Consider a European call and a European put on a non-dividend-paying stock. Both the call and the put will expire in one year and have the same strike prices of $120. The stock currently sells for $115. The risk-free rate is 5% per annum. The price of the call is $7 and the price of the put is $5. Is there an arbitrage? If so, show an arbitrage strategy. (To show the arbitrage, present the table listing actions and resulting...
g) European call with a strike price of $40 costs $7. European put with the same strike price and expiration date costs $6. Assume that you buy two calls and one put (strap strategy). Sketch the graph and write down functions of payoff and profit h) Consider a stock with a price of $50 and there is European put option on that stock with the strike of $55 and premium of $4. Assume that you buy 1/3 of a stock...
4. A speculator has a portfolio which is short in a European call with strike K1 and long in a European call with strike K2 . These two calls have the same maturity and underlying asset, but K1 > K2. Say the asset has value S(T) at maturity. This portfolio is called a bull spread. (a) Write an equation to describe the payoff at maturity of the bull spread. (b) For each of the three cases S(T) < K2 <...
Question 1 - 35 Points Consider a European put option on a non-dividend-paying stock where the stock price is $15, the strike price is $13, the risk-free rate is 3% per annum, the volatility is 30% per annum and the time to maturity is 9 months. Consider a three-step troc. (Hint: dt = 3 months). (a) Compute u and d. (b) Compute the European put price using a three-step binomial tree. (c) If the option in (b) is American instead...
Question 3 - 20 Points Consider a European call option on a non-dividend-paying stock where the stock price is $33, the strike price is $36, the risk-free rate is 6% per annum, the volatility is 25% per annum and the time to maturity is 6 months. (a) Calculate u and d for a one-step binomial tree. (b) Value the option using a non arbitrage argument. (c) Assume that the option is a put instead of a call. Value the option...
5.8. The prices of European call and put options on a non-dividend-paying stock with 15 months to maturity, a strike price of $118, and an expiration date in 15 months are $21 and $5, respectively. The current stock price is $125. What is the implied risk-free rate?
(b) A 6-month European call option on a non-dividend paying stock is cur- rently selling for $3. The stock price is $50, the strike price is $55, and the risk-free interest rate is 6% per annum continuously compounded. The price for 6-months European put option with same strike, underlying and maturity is 82. What opportunities are there for an arbitrageur? Describe the strategy and compute the gain.