Falcon's Invoice Discounting: Your Path to Prosperity
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Forward and future interest rate
1. Futures and Forwards
A future is a contract between two parties requiring
deferred delivery of underlying asset (at a contracted
price and date) or a final cash settlement. Both
parties are obligated to perform and fulfill the terms.
A customized futures contract is called a Forward
Contract.
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2. Cash Flows on Forwards
Pay-off Diagram:
Spot price of
underlying assets
Sellerâs pay-offs
Buyerâs pay-
offs
Futures
Price
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3. Why Forwards?
They are customized contracts unlike Futures
and they are:
ďTailor-made and more suited for certain purposes.
ďUseful when futures do not exist for commodities
and financials being considered.
ďUseful in cases futuresâ standard may be different
from the actual.
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4. Futures & Forwards
Distinguished
FUTURES FORWARDS
They trade on exchanges Trade in OTC markets
Are standardized Are customized
Identity of counterparties is
irrelevant
Identity is relevant
Regulated Not regulated
Marked to market No marking to market
Easy to terminate Difficult to terminate
Less costly More costly
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5. Important Terms
ďSpot Markets: Where contracts for immediate delivery
are traded.
ďForward or Futures markets: Where contracts for later
delivery are traded.
ďBoth the above taken together constitute cash markets.
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6. Important Terms
ďFutures Series: All with same delivery month with same
underlying asset.
ďFront month and Back month.
ďSoonest to deliver or the nearby contract
ďCommodity futures vs. financial futures.
ďCheapest to deliver instruments.
ďOffering lags.
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8. Interest Rate Futures
Two factors have led to growth:
ď Enormous growth in the market for fixed income
securities.
ď Increased volatility of interest rates.
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10. Hedging Interest Rate
Risk
A CFO needs to raise Rs.50 crores in February
20XX to fund a new investment in May 20XX, by
selling 30-year bonds. Hedge instrument
available is a 20-year, 8% Treasury -bond based
Future. Cash instrument has a PV01 of
0.096585, selling at par and yielding 9.75%. It
pays half-yearly coupons and has a yield beta of
0.45. Hedge instrument has a PV01 of 0.098891.
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11. Hedging Interest Rate
Risk
Hence, FVh = FVc à [PV01c / PV01h] à βy
= 50 Ă [0.096585 / 0.098891] Ă 0.45
= Rs.21.98 Crores
If FV of a single T-Bond Future is Rs.10,00,000
then, Number of Futures (Nf) = 21.98/0.1
= 219.8 Futures
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12. Hedging Interest Rate
Risk
If corporate yield rises by 80bp by the time of
actual offering, it has to pay 10.55% coupon
semi-annually to price it at par. Thus, it has to pay
Rs.50,00,00,000 Ă 0.0080 Ă 0.5 = Rs.20,00,000
more every six months in terms of increased
coupons.
This additional amount will have a PV at 10.55%
= 20,00,000 Ă PVIFA5.275%, 60
= Rs.3,61,79,720 â Rs.3.618 Crores
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13. Hedging Interest Rate
Risk
Since corporate yield increases by 80bp, T-Bond
yield will increase by 178bp resulting in an
increased profit on short position in T-bond
futures
= 22,00,00,000 Ă 0.0178 Ă 0.5
= Rs.19,58,000 half yearly, which has a PV
= 19,58,000 Ă PVIFA4,89%,40
= Rs.3,41,09,729
= Rs.3.411 Crores
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14. Why Not perfect Hedge?
ďPV01 provides accurate and effective hedge for
small changes in yields.
ďPV01s of cash and hedge instruments change at
different rates.
ďPV01s need to be recalculated frequently
(practice is every 5bps). This can change the
residual risk profile.
ďAdditional costs related to recalculations need to
be kept in mind.
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15. A Transaction on the Futures Exchange
.
Buyer Buyerâs
Broker
Futures
Exchange
3
Buyerâs Brokerâs
Commission Broker
Futures
Clearing
House
Buyerâs Brokerâs
Clearing Firm
Buyerâs Brokerâs
Clearing Firm
Sellerâs Brokerâs
Commission Broker
Sellerâs
Broker
Seller
1a 1b Buyer and seller instruct their respective brokers to conduct a futures transaction.
2a 2b Buyerâs and sellerâs brokers request their firmâs commission brokers execute the transaction.
3 Both floor brokers meet in the pit on the floor of the futures exchange and agree on a price.
4 Information on the trade is reported to the clearinghouse.
5a 5b Both commission brokers report the price obtained to the buyerâs and sellerâs brokers.
6a 6b Buyerâs and sellerâs brokers report the price obtained to the buyer and seller.
7a 7b Buyer and seller deposit margin with their brokers.
8a 8b Buyerâs and sellerâs brokers deposit margin with their clearing firms.
9a 9b Buyerâs and sellerâs brokersâ clearing firms deposit premium and margin with clearinghouse.
1a
6a
7a
2a
5a
48a 8b
9a 9b
2b
5b
1b
6b
7b
Note: Either buyer
or seller (or both)
could be a floor
trader, eliminating
the broker and
commission
broker.
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16. Exchange Rate Risk
Hedging
Currency hedge is a direct hedge and not
a cross hedge as in case of interest rate
risk hedging. Hence, a hedge ratio of 1:1
works very well.
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17. Forward Rate Agreements
(FRAs)
FRAs are a type of forward contract wherein
contracting parties agree on some interest rate to
be paid on a deposit to be received or made at a
later date.
The single cash settlement amount is determined
by the size of deposit (notional principal), agreed
upon contract rate of interest and value of the
reference rate prevailing on the settlement date.
Notional principal is not actually exchanged.
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18. Determination of
Settlement Amount
Step-1:Take the difference between contract rate and
the reference rate on the date of contract settlement
Step-2: Discount the sum obtained using reference rate
as rate of discount.
The resultant PV is the sum paid or received. The
reference rate could be LIBOR (most often used) or
any other well defined rate not easily manipulated.
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19. Hedging with FRAs
Party seeking protection from possible
increase in rates would buy FRAs (party is
called purchaser) and the one seeking
protection from decline would sell FRAs
(party is called seller).
These positions are opposite of those
employed while hedging in futures.
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20. Illustration
A bank in U.S. wants to lock-in an interest rate for
$5millions 6-month LIBOR-based lending that
commences in 3 months using a 3Ă9 FRA. At the time
6-month LIBOR (Spot Rate) is quoted at 8.25%. The
dealer offers 8.32% to commence in 3 months. U.S. bank
offers the client 8.82%. If at the end of 3 months, when
FRA is due to be settled, 6-month LIBOR is at 8.95%,
bank borrows at 8.95% in the Eurodollar market and
lends at 8.82%.
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22. Index Futures Contract
It is an obligation to deliver at settlement an
amount equal to âxâ times the difference
between the stock index value on expiration
date and the contracted value
On the last day of trading session the final
settlement price is set equal to the spot index
price
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23. Illustration (Margin and Settlement)
The settlement price of an index futures contract on a
particular day was 1100. The multiple associated is 150.
The maximum realistic change that can be expected is 50
points per day. Therefore, the initial margin is 50Ă150 =
Rs.7500. The maintenance margin is set at Rs.6000. The
settlement prices on day 1,2,3 and 4 are 1125, 1095,
1100 and 1140 respectively. Calculate mark-to-market
cash flows and daily closing balance in the account of
Investor who has gone long and the one who has gone
Short at 1100. Also calculate net profit/(loss) on each
contract.
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25. Pricing of Index Futures Contracts
Assuming that an investor buys a portfolio
consisting of stocks in the index, rupee
returns are:
RI = (IE â IC) + D, where
RI = Rupee returns on portfolio
IE = Index value on expiration
IC = Current index value
D = Dividend received during the
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26. Pricing of Index Futures Contracts
If he invests in index futures and invests
the money in risk free asset, then
RIF = (FE â FC) + RF,
where
RIF = Rupee return on alternative investment
FE = Futures value on expiry
FC = Current futures value
RF = Return on risk-free investment
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27. Pricing of Index Futures Contracts
If investor is indifferent between the two
options, then
RI = RIF
i.e. (IE-IC) + D = (FE-FC) + RF
Since IE = FE
FC = IC + (RF â D)
(RF â D) is the âcost of carryâ or âbasisâ and
the futures contract must be priced to
reflect âcost of carryâ.
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28. Stock Index Arbitrage
When index futures price is out of sync with the
theoretical price, the an investor can earn
abnormal risk-less profits by trading
simultaneously in spot and futures market. This
process is called stock index arbitrage or basis
trading or program trading.
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29. Application of Index
Futures
In passive Portfolio Management:
An investor willing to invest Rs.1 crore can buy futures
contracts instead of a portfolio, which mimics the index.
Number of contracts (if Nifty is 5000)
= 1,00,00,000/5000 Ă100 = 20 contracts
Advantages:
ď Periodic rebalancing will not be required.
ď Potential tracking errors can be avoided.
ď Transaction costs are less.
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30. Application of Index
Futures
In Beta Management:
In a bullish market beta should be high and in a
bearish market beta should be low i.e. market timing
and stock selection should be used.
Consider following portfolio and rising market forecast.
Equity : Rs.150 millions
Cash Equivalent : Rs.50 millions
Total : Rs.200 millions
Assume a beta of 0.8 and desired beta of 1.2
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31. Application of Index
Futures
The Beta can be raised by,
a. Selling low beta stocks and buying high beta stocks
and also maintain 3:1 ratio. Or,
b. Purchasing âXâ contracts in the following equation:
150 Ă 0.8 + 0.02 Ă X = 200 Ă 1.2
i.e. X = (200 Ă 1.2 â 150 Ă 0.8) / 0.02
= 6000 contracts, assuming
Nifty future available at
Rs.5000, multiple of 4 and
beta of contract as 1.0
No. of contracts will be 600 for a multiple of 40 and
240 for a multiple is 100.
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32. Euro-rate Differentials (Diffs)
Introduced on July 6, 1989 in US, it is a
futures contract tied to differential between
a 3-month non-dollar interest rate and
USD 3-month LIBOR and are cash settled.
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33. Euro-rate Differentials (Diffs)
Example: If USD 3-month LIBOR is 7.45 and
Euro 3-month LIBOR is 5.40 at the settlement
time, the diff would be priced at 100 â (7.45 â5.40)
= 97.95. Suppose in January, the March
Euro/dollar diff is prices at 97.60, this would
suggest that markets expects the differential
between USD LIBOR and Euro LIBOR to be
2.40% at settlement in March.
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34. Euro-rate Differentials (Diffs)
They are used for:
1. Locking in or unlocking interest rate differentials when
funding in one currency and investing in another.
2. Hedging exposures associated with non-dollar interest-rate
sensitivities.
3. Managing the residual risks associated with running a
currency swap book.
4. Managing risks associated with ever changing interest-rate
differentials for a currency dealer
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35. Foreign Exchange Agreements
(FXAs)
They allow the parties to hedge movements
in exchange rate differentials without
entering a conventional currency swap. At
the termination of the agreement, a single
payment is made by one counterparty to
another based on the direction and the
extent of movement in exchange rate differentials.
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