Interest Arbitrage Flashcards
Arbitrage
Capitalising on a discrepancy in quoted prices to make a risk less profit
3 types of arbitrage
Locational arbitrage
Triangular arbitrage
Covered interest arbitrage
Locational arbitrage
When a bank’s buying price (bid price) is higher than anothers selling price (ask price) for the same currency
(Overpay so other benefits)
Triangular arbitrage
When a cross exchange rate quote differs from the rate calculated from spot rate quotes.
Beal Bank:
Bid price of NZD: £0.020
Ask price of NZD: £0.022
Yardley Bank:
Bid price of NZD: £0.018
Ask price of NZD: £0.019
Is locational arbitrage possible? How much profit if given £1M?
Yes - bid price of one bank (Beal) > ask price of other (Yardley)
£1M / 0.019 to convert into NZD.
Then sell at 0.020
-£1M to get profit
Interest arbitrage
Transfer of short term liquid funds abroad to earn a higher rate of return
(Can be covered or uncovered)
(Like hot money)
Uncovered interest arbitrage vs covered
Uncovered has foreign exchange risk - currency could depreciate during investment period
Covered - spot purchase of foreign currency + sale of the forward of foreign coherency to offset (remove FE risk)
Carry trade
Borrowing low-yielding currencies and lending in high yielding currency’s
Comparing arbitrage strategies
Locational: capitalizes on discrepancies in exchange rates ACROSS LOCATIONS e.g just across banks
Triangular: capitalizes on discrepancies in cross-exchange rates.
Covered: capitalizes on discrepancies interest between the forward rate and the arbitrage interest rate differential.
Discrepancies
Trigger arbitrage, eliminating discrepancy, making FEM more orderly.
(Since they have been taken advantage of, market corrects itself)
Forward rate can differ from the spot rate by an amount that sufficiently offsets the interest rate differential between countries.
What is this known as?
Following this, what is no longer feasible?
IRP
Covered interest arbitrage (buy spot sell forward to remove FER) is not possible anymore.
IRP
A currency is worth what it can earn.
(Interest differential = difference between forward and spot rates of their respective currencies)
What is the return of a currency formula in IRP
The interest rate on that currency + expected rate of appreciation over a given period
When does IRP prevail
IRP prevails when return (interest rate of currency+expected appreciation) on 2 currencies are equal.
Example to show IRP.
Consider 2 methods investor can use to convert pounds into dollars.
A - invest pounds at the risk-free rate. Then convert into dollard at the maturity. (Just like previous maths examples)
B - invest dollars in US market instead. When no arbitrage opportunities exist, returns from both options equal (IRP holds)
What if IRP is violated
An arbitrage opportunity exists (since returns are not equal)
Example of IRP violated:
If forward rates same as spot rate, but interest rates different (interest differential is different from difference in forward and spot rates of respective currencies), investors would…
An arbitrage opportunity exists as returns aren’t equal.
They would borrow in the currency with the lower rate, then convert at spot rates, enter forward to convert cash plus expected interest at the same rate, invest money in the higher rate, then convert back (and repay for original borrowing)
Derivation of IRP & Forward premium
Forward premium formula (2 formulas)
Forward rate formula (hint, uses forward premium)
Forward premium (p)
1+home interest
/
1+foreign interest
-1
Or short form if interest differential is small:
Home Interest - foreign interest
Forward rate (F)
F = S (1+p)
S is spot exchange rate
Interpretation of IRP
It does not mean that both local and foreign investors will earn the same returns.
It JUST means investors cannot use CIA technique to achieve higher returns.