24A


Calculations

 

 

1.        What are the profits and losses in case of a futures position ?

2.        What happens to the profit or loss due to daily settlement ?

3.        How does the Initial Margin affect the above profit or loss ?

4.        What is a spread position ?

5.        How are spread rates calculated ? Please illustrate with an example.

6.        How do we calculate spreads in case of two way quotations ?

7.        Please give a simple illustration to explain the mechanics of spread trading ?

1 What are the profits and losses in case of a futures position ?

The profits and losses would depend upon the difference between the price at which the position is opened and the price at which it is closed. Let us take some examples.


Example 1

  • Position - Long - Buy June Sensex Futures @ 15000
  • Payoff -
    • Profit - if the futures price goes up
    • Loss - if the futures price goes down
  • Calculation - The profit or loss would be equal to fifteen times the difference in the two rates.
    • If June Sensex Futures is sold @ 15500 there would be a profit of 500 points which is equal to Rs. 7500 (500*15).
    • However if the June Sensex However if the June Sensex Futures is sold @ 14700 , there would be a loss of 300 points which is equal to Rs. 4500 (300*15).


Example 2

  • Position - Short - Sell June Sensex Futures @ 15500
  • Payoff -
    • Profit - if the futures price goes down
    • Loss - if the futures price goes up
  • Calculation - The profit or loss would be equal to fifteen times the difference in the two rates.
    • If June Sensex Futures is bought @ 15900 there would be a loss of 400 points which is equal to Rs. 6000 (400*15).
    • However if the June Sensex Futures is bought @ 15200, there would be a profit of 300 points which is equal to Rs. (300*15).

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2 What happens to the profit or loss due to daily settlement ?

In case the position is not closed the same day, the daily settlement would alter the cash flows depending on the settlement price fixed by the exchange every day. However the net total of all the flows every day would always be equal to the profit or loss calculated above. Profit or loss would only depend upon the opening and closing price of the position, irrespective of how the rates have moved in the intervening days.

Let's take the illustration given in example 1 where a long position is opened at 15000 and closed at 15800 resulting in a profit of 800 points or Rs. 12000. Let's assume that the position was closed on the fifth day from the day it was taken. Let's also assume three different series of closing settlement prices on these days and look at the resultant cash flows.


Example 3

Daily closing settlement price

 

Case 1

Case 2

Case 3

Day 1

14900

14800

14500

Day 2

15350

15300

15100

Day 3

15280

15400

14950

Day 4

14950

14700

15200

Position closed

15800

15800

15800

 

Case 1

Settlement Price

Calculation

Profit / Loss

Position opened

15000

 

 

 

Day 1

 

14900

14900-15000

-100

Day 2

 

15350

15350-14900

450

Day 3

 

15280

15280 -15350

-70

Day 4

 

14950

14950 - 15280

-330

Position closed

15800

 

15800 - 14950

850

Net Profit/ Loss

 

 

 

800

 

Case2

Settlement Price

Calculation

Profit / Loss

Position opened

15000

 

 

 

Day 1

 

14800

14800 - 15000

-200

Day 2

 

15300

15300-14800

500

Day 3

 

15400

15400-15300

100

Day 4

 

14700

14700 - 15400

-700

Position closed

15800

 

15800-14700

1100

Net Profit/ Loss

 

 

 

800

 

Case3

Settlement Price

Calculation

Profit / Loss

Position opened

15000

 

 

 

Day 1

 

14500

14500 - 15000

-500

Day 2

 

15100

15100 -14500

600

Day 3

 

14950

14950 -15100

-150

Day 4

 

15200

15200 - 14950

250

Position closed

15800

 

15800 -15200

600

Net Profit/ Loss

 

 

 

800

 

In all the cases the net resultant is a profit of 800 points, which is the difference between the closing and opening price, irrespective of the daily settlement price and different MTM flows.

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3 How does the Initial Margin affect the above profit or loss ?

The initial margin is only a security provided by the client through the clearing member to the exchange. It can be withdrawn in full after the position is closed. Therefore it does not affect the above calculation of profit or loss.

However there may be a funding cost / transaction cost in providing the security. This cost must be added to your total transaction costs to arrive at the true picture. Other items in transaction costs would include brokerage, stamp duty etc.

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4 What is a spread position ?

A calendar spread is created by taking simultaneously two positions

  1. A long position in a futures series expiring in any calendar month
  2. A short position in the same futures as 1 above but for a series expiring in any month otherthan the 1 above.

Examples of Calendar Spreads

  1. Long June Sensex Futures - Short July Sensex Futures.
  2. Short July Sensex Futures - Long August Sensex Futures

A spread position must be closed by reversing both the legs simultaneously. The reversal of 1 above would be a sale of June Sensex Futures while simultaneously buying the July Sensex Futures.

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5 How are spread rates calculated ? Please illustrate with an example.

The profit or loss in case of spreads depends only upon the difference between the rates for the two different calendar months. The real position is only of the differential - irrespective of the two rates.

Let's take an example.

Example 4 - assuming the futures are being traded at the following rates

 

June

July

August

 

Bid

Ask

Bid

Ask

Bid

Ask

Rate

16200

16250

17000

17100

17500

17550

The spread calculations are as follows

Spread

Calculation

Rate

June - July

17000 - 16200

800

July -August

17500 - 17000

500

June - August

17500 - 16200

1300

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6 How do we calculate spreads in case of two way quotations ?

In case the prices are quoted as bid and offer, the spreads would also have a two way quotation. While calculating use thumb rule that the spread rate calculated must have the maximum spread possible from the two given rates.

Example 5 - Lets assume the futures are being traded at the following rates

 

June

July

August

 

Bid

Ask

Bid

Ask

Bid

Ask

Rate

16200

16250

17000

17100

17500

17550

The spreads would be calculated as follows.

Spread

Calculation

Rate

June - July

17000 -16250 & 17100- 16200

750

900

July - August

17500 -17100 & 17590- 17000

400

590

June - August

17500 -16250 & 17590-16200

1250

1390

Another thumb rule to check the correctness of calculation is that the bid offer difference of the spread must be equal to the sum of the bid-offer differences of the two futures contract. For example the bid-offer difference for June-August spread is 140 points which is equal to the sum of the bid-offer difference of June Futures 50 points and August Futures 90 points.

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7 Please give a simple illustration to explain the mechanics of spread trading ?

To illustrate lets assume that the market is in Contango i.e. the futures price is higher than the cash underlying price and the futures price of far month is higher than the futures price of the near month.

 

June

July

August

Rates

15500

16200

17000

The spread calculations are as follows

Spread

Calculation

Rate

June - July

16200 -15500

700

July - August

17000 -16200

800

June - August

17000 -15500

1500

 

Example 6

  • Position -
    • Receiving the spread – Buy near month futures + Sell far month futures
    • Paying the spread – Sell near month futures + Buy far month futures
  • Payoff -
    • Profit - Spread received > spread paid
    • Loss - Spread received< spread paid
  • June- July spread is paid at 700 points . If June -July spread can be reversed at higher than 700 points it would result in profit. Assuming that the spread is reversed at 800 points a profit of 100 points or Rs1500 would result.

Open

Spread

Sell June

Buy July

Pay

700

15500

16200

 

 

 

 

Close

 

Buy June

Sell July

Receive

800

15500

16300

Profit

100

0

100

Please note that the spread profit depends only upon the differential received or paid, irrespective of the futures rates. In the above example let's take three cases where reversal is done at 900 points but with substantially different levels for June and July.

Case 1 -17000 and 17900

Open

Spread

Sell June

Buy July

Pay

700

15500

16200

 

 

 

 

Close

 

Buy June

Sell July

Receive

900

16550

17450

Profit

200

1050

1250

Case 2 - 16550 and 17450

Open

Spread

Sell June

Buy July

Pay

80

4600

4680

 

 

 

 

Close

 

Buy June

Sell July

Receive

900

16550

17450

Profit

200

1050

1250

 

Case 3 - 16000 and 16900

Open

Spread

Sell June

Buy July

Pay

700

15500

16200

 

 

 

 

Close

 

Buy June

Sell July

Receive

900

16000

16900

Profit

200

500

700

You would notice that the profit is always 200 points irrespective of the rates as the spread received is constant at 900 points.