Question

In: Finance

Consider an investor who contacts his/her broker on June 5th to enter into short position on...

Consider an investor who contacts his/her broker on June 5th to enter into short position on 3 December soybean futures contract.

Each contract size is 50lbs. Initial margin requirement is $5000 per contract and maintenance margin requirement is $3750 per contract. Suppose that current futures price is $1250 per pound.

Using the daily settlement process, please answer

date

futures price

loss/gain

Acct bal. (after adjusting margin call)

Margin call

5-Jun

$1,250

/lbs

$1,240

/lbs

6-Jun

$1,235

/lbs

7-Jun

$1,215

/lbs

8-Jun

$1,245

/lbs

total cum.loss/gain=

#1. Are there any margin calls? If so, when and by how much?

#2. How much is the total cumulative loss/gain for this account?

#3. What is the appropriate account balance at the end of June 6th, which is the highlighted part in the table above?

#1. no, there are no margin calls.

#1. yes, there is a margin call on June 7th, by $2250

#1. yes, there is a margin call on June 5th, by $4500

#2. total cumulative gain = + $750

#2. total cumulative loss = -$750

#2. total cumulative gain = +1500

#2. total cumulative loss = -$1500

#3. June 6th account balance = $17,250

#3. June 6th account balance =  $15,750

#3. June 6th account balance =  $20,250

Solutions

Expert Solution

1. Short position is entered on 5th June for 6 months future contract.

2. Contract Size = 50 lbs, contract value = 50*1250 = $62,500, Initial Margin = $5,000, Maintenance Margin = $3,750

Initial Margin refers to the Margin which is required at the time of entering into contract to protect the broker

Maintenance Margin is the minimum amount required to be maintained by the purchaser during the duration of contract the minimize the risk of fluctuations.

3. Hence, call for Initial Margin of $5,000 will be made on 5th June. Refer Below table:

Date Future Prices (Loss) / Gain Acct Balance (after adjusting Margin call) Margin call Remarks
5th June 1250 - 5000
5th June (Day end) 1240 500 5500 0 Since, it was a short position, gain of 500 (10*50)
6th June 1235 250 5750 0
7th June 1215 1000 6750 0
8th June 1245 -1500 5250 0
Total Cumulative Gain 250

4. Answers to the questions

a) As discussed above, there is only one margin call for initial margin of $5,000

b) The total cumulative gain for the account as on 8th June stands as $250

c) The correct answers is #2 - total cumulative gain t $750 as on 6th June.

Please let me know in case of any clarification.

Regards.


Related Solutions

​Consider an investor who contacts his/her broker on December 10th to enter into ‘SHORT’ position on 30 February Crude oil futures contract.
Contract to be traded = 30 contractsEach contract size = 1000 barrelMaintenance margin required = $4600 per contractSuppose that current futures price is $36.50 per barrel.Initial margin requirement is set at 110% of the maintenance margin.Suppose the following futures prices occur for each day. Note that following traded price and futures prices are per-barrel-price.datetradedpricesettlement pricedaily loss/gaincum. loss/gainAcct bal.Margin call (yes/no)"variation margin"margin call amt ($)Acct. bal(after adjusting margin call)10-Dec$36.50$36.7611-Dec$37.1612-Dec$37.5113-Dec$37.6514-Dec$37.00total cum.loss/gain=01) FIND THE INITIAL MARGIN AND MAINTENANCE MARGIN FOR THE TOTAL CONTRACT,...
The fact pattern is as follows: Adam who lives in NH, contacts his friend Bill who...
The fact pattern is as follows: Adam who lives in NH, contacts his friend Bill who lives in MA and his friend Charlie who lives in RI. As a result of their conversations, Adam invites Bill and Charlie to dinner. Two week later, the 3 meet for dinner. During dinner, Adam proposes that they all go into business with one another. Adam lays out his plan. He wants to set up an Advertising Agency and he has already has clients...
Exercise 1. An investor has a short position in a European put on a share for...
Exercise 1. An investor has a short position in a European put on a share for $4. The stock price is $40 and the strike price is $41. (a). Suppose now the investor enters also into a long position of put option with strike price $39. This put is on the same underlying and has the same maturity time. Describe the total payoff to the trader, via a payoff table or payoff diagram.
Consider a portfolio consisting of a long position in one stock and a short position in...
Consider a portfolio consisting of a long position in one stock and a short position in two call options. Both the current stock price (S0) and the exercise price (K) of call options are $20. The call option costs $3. a) Construct a table showing the payoffs and net profits for all possible price ranges. b) Draw a diagram showing the variation of an investor’s net profit with the terminal stock price c) For what price range does this portfolio...
Consider a portfolio consisting of a long position in one stock and a short position in...
Consider a portfolio consisting of a long position in one stock and a short position in two call options. Both the current stock price (S0) and the exercise price (K) of call options are $20. The call option costs $3. a) Construct a table showing the payoffs and net profits for all possible price ranges. b) Draw a diagram showing the variation of an investor’s net profit with the terminal stock price c) For what price range does this portfolio...
Consider a portfolio consisting of a long position in one stock and a short position in...
Consider a portfolio consisting of a long position in one stock and a short position in two call options. Both the current stock price (S0) and the exercise price (K) of call options are $20. The call option costs $3. a) Construct a table showing the payoffs and net profits for all possible price ranges. b) Draw a diagram showing the variation of an investor’s net profit with the terminal stock price c) For what price range does this portfolio...
Consider an investor with expected utility function who invests her initial wealth between a risky asset...
Consider an investor with expected utility function who invests her initial wealth between a risky asset with state-dependent rate of return r and a risk-free asset with rate of return r0. The investor is strictly risk averse. Suppose that E(r) < r0, that is, negative risk premium. Show - using either a diagram or calculus - that the optimal investment in the risky asset is to short sell the asset, that is, hold a portfolio with negative fraction of wealth...
Consider an investor with expected utility function who invests her initial wealth between a risky asset...
Consider an investor with expected utility function who invests her initial wealth between a risky asset with state-dependent rate of return r and a risk-free asset with rate of return r0. The investor is strictly risk averse. Suppose that E(r) < r0, that is, negative risk premium. Show - using either a diagram or calculus - that the optimal investment in the risky asset is to short sell the asset, that is, hold a portfolio with negative fraction of wealth...
Joi Chatman recently received her finance degree and has decided to enter the mortgage broker business....
Joi Chatman recently received her finance degree and has decided to enter the mortgage broker business. Rather than working for someone else, she will open her own shop. Her cousin Mike has approached her about a mortgage for a house he is building. The house will be completed in three months, and he will need the mortgage at that time. Mike wants a 25-year, fixed-rate mortgage in the amount of $400,000 with monthly payments. Joi has agreed to lend Mike...
Joi Chatman recently received her finance degree and has decided to enter the mortgage broker business....
Joi Chatman recently received her finance degree and has decided to enter the mortgage broker business. Rather than working for someone else, she will open her own shop. Her cousin Mike has approached her about a mortgage for a house he is building. The house will be completed in three months, and he will need the mortgage at that time. Mike wants a 25-year, fixed-rate mortgage in the amount of $400,000 with monthly payments. Joi has agreed to lend Mike...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT