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Encyclopedic Dictionary of International Finance and Banking Phần 2 pot
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24
ARBITRAGEUR
An arbitrageur is an individual or business that exercises arbitrage seeking to earn risk-free
profits by taking advantage of simultaneous price differences in different markets.
ARITHEMETIC AVERAGE RETURN VS. COMPOUND (GEOMETRIC)
AVERAGE RETURN
It is one thing to calculate the return for a single holding period but another to explain a
series of returns over time. If you keep an investment for more than one period, you need to
understand how to derive the average of the successive rates of return. Two approaches to
multiperiod average (mean) returns are the arithmetic average return and the compound
(geometric) average return. The arithmetic average return is the simple mean of successive
one-period rates of return, defined as:
where n = the number of time periods and r = the single holding period return in time t.
Caution: The arithmetic average return can be misleading in multiperiod return computations.
A better accurate measure of the actual return obtained from an investment over multiple
periods is the compound (geometric) average return. The compound return over n periods is
derived as follows:
EXAMPLE 16
Assume the price of a stock doubles in one period and depreciates back to the original price.
Dividend income (current income) is nonexistent.
The arithmetic average return is the average of 100% and −50%, or 25%, as indicated below:
However, the stock bought for $40 and sold for the same price two periods later did not earn
25%; it earned zero. This can be illustrated by determining the compound average return. Note
that n = 2, r1 = 100% = 1, and r2 = −50% = −0.5.
Then,
Time periods
t = 0 t = 1 t = 2
Price (end
of period)
$40 $80 $40
HPR — 100% −50%
Arithmetic average return 1/n r = ∑ t
Compound average return = 1 r + 1 ( ) 1 r + 2 ( )… 1 r + n ( ) ≠ n – 1
100% 50% + ( ) –
2
--------------------------------------- 25% =
Compound return 1 1+ = ( )( ) 1 0.5 – – 1
2 = ( )( ) 0.5 – 1
11 = == – 1 1 – 0
ARBITRAGEUR
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EXAMPLE 17
Applying the formula to the data below indicates a compound average of 11.63 percent, somewhat
less than the arithmetic average of 26.1 percent.
The arithmetic average return is
(−0.300 + 1.167 − 0.083)/3 = .261 = 26.1%
but the compound return is
See also TOTAL RETURN; RETURN RELATIVE.
ARM’S-LENGTH PRICING
Arm’s-length pricing involves charging prices to which an unrelated buyer and seller would
willingly agree. In effect, an arm’s-length price is a free market price. Although a transaction
between two subsidiaries of an MNC would not be an arm’s-length transaction, the U.S.
Internal Revenue Code requires arm’s-length pricing for internal goods transfers between
subsidiaries of MNCs.
See also INTERNATIONAL TRANSFER PRICING.
ARM’S-LENGTH TRANSACTION
An arm’s-length transaction is a transaction between two or more unrelated parties. A transaction between two subsidiaries of an MNC would not be an arm’s-length transaction.
See also ARM’S-LENGTH PRICING.
ASIAN CURRENCY UNIT
Asian Currency Unit (ACU) is a division of a Singaporean bank that deals in foreign currency
deposits and loans.
ASIAN DEVELOPMENT BANK
Created in the late 1960s, the Asian Development Bank is a financial institution for supporting
economic development in Asia. It operates on similar lines as the World Bank. Member
countries range from Iran to the United States of America.
See also INTERNATIONAL MONETARY FUND; WORLD BANK.
(1) (2) (3) (4) (5)
Time Price Dividend Total return Holding period return (HPR)
0 $100 $−
1 60 10 −30(a) −0.300(b)
2 120 10 70 1.167
3 100 10 −10 −0.083
(a) $10 + ($60 − $100) = $−30
(b) HPR = $ −30/$100 = −0.300
[ ] ( ) 1 0.300 – ( ) 1 1.167+ + ( ) 1 0.083+ 3 – 1 = 0.1163 or 11.63%. ,
ASIAN DEVELOPMENT BANK
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ASIAN DOLLAR MARKET
Asian dollar market is the market in Asia in which banks collect deposits and make loans
denominated in U.S. dollars.
ASIAN DOLLARS
Similar to Eurodollars, Asian dollars are U.S. dollar-denominated deposits kept in Asianbased banks.
ASKED PRICE
See ASKED RATE.
ASKED RATE
Also called ask rate, selling rate, or offer rate. The price at which a dealer is willing to sell
foreign exchange, securities, or commodities.
See also BID RATE.
ASSET MANAGEMENT OF BANKS
A commercial bank earns profits for stockholders by having a positive spread in lending and
through leverage. A positive spread results when the average yield on earning assets exceeds
the average cost of deposit liabilities. A high-risk asset portfolio can increase profits, because
the greater the risk position of the borrower, the larger the risk premium charged. On the
other hand, a high-risk portfolio can reduce profits because of the increased chance that parts
of it could become “nonperforming” assets. Favorable use of leverage (the bank’s capitalasset ratio is falling) can increase the return on owners’ equity. A mix of a high-risk portfolio
and high leverage could result, however, in insolvency and bank failure. It is extremely
important for banks to find an optimal mix.
A bank is also threatened with insolvency if it has to liquidate its asset portfolio at a loss
to meet large withdrawals (a “run on the bank”). This can happen, because, historically, a
large proportion of banks’ liabilities come from demand deposits and, therefore, are easily
withdrawn. For this reason, commercial bank asset management theory focuses on the need
for liquidity. There are three theories:
1. The commercial loan theory. This theory contends that commercial banks should
make only short-term self-liquidating loans (e.g., short-term seasonal inventory
loans). In this way, loans would be repaid and cash would be readily available to
meet deposit outflows. This theory has lost much of its credibility as a certain
source of liquidity, because there is no guarantee that even seasonal working capital
loans can be repaid.
2. The shiftability theory. This is an extension of the commercial loan theory stating
that, by holding money-market instruments, a bank can sell such assets without
capital loss in the event of a deposit outflow.
3. The anticipated-income theory. This theory holds that intermediate-term installment loans are liquid because they generate continuous cash inflows. The focus is
not on short-term asset financing but on cash flow lending.
It is important to note that contemporary asset management hinges primarily on the shiftability
theory, the anticipated-income theory, and liability management.
See also LIABILITY MANAGEMENT OF BANKS.
ASIAN DOLLAR MARKET
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