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8/15/2019 Liquidity and tax treatment
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1.0 Liquidity
Liquidity describes the degree to which an asset or security can be quickly bought or sold in
the market without affecting the asset’s price. An asset that can be converted into cash
immediately are said to be have high liquidity and asset that cannot be converted into cashimmediately are considered low liquidity. The more liquid an asset is, the more desirable it is
(holding everything else constant (!ishkin, "##$. %enerally, liquidity is defined as the
ability of a firm to meet its debt obligations without incurring unacceptably large losses.
&or e'ample, if a person wanted to buy a refrigerator worth !)### but has no
cash, he probably have a painting collection worth !)###, he unlikely hard to find
someone that willing to trade the painting collection for a refrigerator. *nstead he needs to
sell the collection and use the cash to purchase the refrigerator he might happen to take a
long time to sell the collection and if he need sell, he might sell the collection at discount
which the painting collection can be said as the illiquid asset because it cannot converted
into cash as immediate as the asset’s owner wanted and cannot sustained its value.
*nvestors are care about liquidity+ they are willing to accept a lower interest rate on
more liquid investment than on less liquid illiquid investment, all other things being equal.
-ence a less liquid asset must pay a higher yield to compensate savers for their sacrifice of
liquidity. (-ubbard, "##
1.1 Liquidity Premium
Liquidity premium is a premium that investors will demand when any given security
cannot be easily converted into cash, and converted at the fair market value. /hen the
liquidity premium is high, then the asset is said to be illiquid, which will cause prices to fall
and interest rates to rise.
/e can use 01 Treasury securities to compare liquidity among different financial
instruments. !arkets for Treasury securities are e'tremely liquid, whereas matching buyers
and sellers of corporate bonds is more difficult. Therefore corporate bond markets are much
less liquid than government bond market and so investors require an additional premium in
their yields. (-ubbard, "##
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1.2 Changes in liquidity and liquidity premium (-ubbard, "##
The theory of portfolio allocation tells us that for any yield, investor prefer to hold
more liquid instruments such as government bonds than illiquid ones. Therefore, if the
market for corporate bonds becomes less liquid, the spread between yields on less liquidand more liquid instruments increases.
Lenders value liquidity. Therefore an instrument traded in a less liquid market will
have a lower price and greater required return than an instrument traded in a more liquid
market.
a. A decrease in liquidity causes lenders to decreases their demand curve for that
asset, shifting the demand curve from Bd illiq0 to Bd liliq1. This shifted lowers the price
and raises the yield in the illiquid market.b. Lenders reallocate their funds from the less liquid market to the more liquid
market, shifting the demand curve from Bd liq0 to Bd liq1. As a result, the price rises
and the interest rate falls in the more liquid market, while the price falls, the
interest rate rises in the less liquid market.c. The liquidity premium embodied in the change in the spread in bond prices the
difference in the yield on the less liquid instruments equals i illiq1 – i illiq0 . Lenders
are less willing to hold the illiquid instrument and require a higher return+
borrowers using that instrument to raise funds will have higher costs of funds. An
increase in the liquidity of an asset reduces it’s required of return+ a decrease in
liquidity raises the required of return.
The difference between P liq1 – P illiq1 is the premium that the investor received as they willing to
take position on the less liquid market.
2.0 Taxation
2
&igure )
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Ta'ation refers to the act of a ta'ing authority actually levying ta'. The ta' levied by a
government on a product, income or activity were to finance government e'penditure. 2ne
of the most important uses of ta'es is to finance public goods and services such as street
lighting and cleaning. Ta' can be indirect ta' and direct ta'.
2.1 Tax Treatment
*n determining whether interest is ta'ed, savers must compare differing ta' rates on
the returns from their investment. *nvestor would prefer to invest in ta'3e'empt bonds than
ta'able bonds. This is because a ta'able income in the yield would affect their income from
the investment. &or e'ample, interest received on municipal bonds is obligations of state
and local government, is e'empt from federal, state and local income ta'es, rather than
treasury bonds which the municipal bond will have higher after3ta' yield.
*f nothing else changes, a decrease in a bond’s ta' liability raises it prices and decreases its
yield.
a. *f municipal bonds become ta' e'empt, lenders decrease their holdings of
ta'able 0’1 government bonds, and the demand curve shifts to the left, from
Bd tax0 to Bd tax1 in (b, reducing the price of ta'able bonds.
b. Lenders increase their demand for ta'3e'empt bonds, so that the demand curve
shifts from Bd tax-ex0 to Bd tax-ex1 in (a, raising the price of ta'3e'empt bonds.
c. The difference in the bond prices is matched by a difference in the required
returns. The gap between i tax1 and i tax-ex1 is the ta' component of the difference in
yields.
REFERENCE
3
&igure "
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-ubbard, . %. ("##. Money, the Financial System, and the Economy , th 4dition, 0nited
1tates5 6earson Addison3/esley.
*ncome Ta' Treatment, etrieved from5
http577www.investopedia.com7e'am3guide7cfp7income3respect3decedent7cfp8.asp
!ishkin, &rederic 1. ("##$. The 4conomics of !oney, 9anking : &inancial !arket, )# th
4dition, ;ew