financial management i_chapter 4
TRANSCRIPT
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Financial Management I
BBPW3103
Chapter 4
Valuation of Securities
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Valuation
Is the process to identify the of assets or investment
The valuation of assets can be done by severalmethods:
Book Value : The value of an asset as stated in balancesheet. The market value of the asset is difference with thebook value.
Liquidation Value : Is the value of asset when an asset issold
Market Value : Value of asset available in the market asdetermined by supply and demand in the market
Intrinsic Value : Is the present value of all the potentialcash flow that will be obtained after discounting at the rate
of return required by investor
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Valuation Process
Is a process to determine the value of asset by using ‘Time Value of Money’technique
Factor that influence the value of assetTotal cash flow : The value of asset depend on
the total cash flow that is expected.
Timing : Refer to the period of receiving thecash flow
Required Rate of Return : Refer to the returnthat required by the investor. The higher the riskof the investment, the higher return that will be
obtained.
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Basic Model Valuation
Os the process to determine the Present
Value of asset
3 basic steps in the valuation process
Estimating the amount and timing of cash flow
that would be received (CFt)
Determine the required rate of return (k)
Calculating the intrinsic value of asset that isPresent Value (V)
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Basic Model Valuation
The early formula of Present Value
PV = FV ‚ (1 + i)n
Then, modified to (for 1 year)
V = CF ‚ (1 + k)t
Present Value for more than one year
V =
=
n
n
2
2
1
1
k)(1
CF
............k)1(
CF
k)(1
CF
n
1tn
n
k)(1
CF
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Bond
Is the fixed income securities that will be
received interest at the fixed rate
Figure below is the concept of the bond
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Characteristics of Bonds
Claims on Assets and Earning : Bond holder have thepriority to claim on the earning and company assetscompared to preference share and ordinary share
Par Value : Is the value of the bond that stated of thedocument. This value will be received with interest
payment at the maturity date Coupon Rate : Refer to the return to bond holder
Indenture : Is the contract between trustee (bond holder)and the company that issued the bond
Maturity Date : Is the time that the bond will be redeem
Floating Rate : The Coupon Rate may change based onthe current interest rate
Zero Coupon Bond : The bond sold at the lower pricethan the par value
Embedded Bond : The bond that call back before thematurity date
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Rating of Bond
Process to determine the value and gradethe bond
2 rating agencies in Malaysia that is
Rating Agency Malaysia (RAM) : For Long-Term Bond, the valuation of ‘AAA’ indicates ahigh level of credit trust compare to the ‘AA’ and‘BBB’.
Malaysian Rating Corporation Berhad (MARC) :Use ‘AAA-D’ grade for long-term bond and use‘MARC1-MARC4’ for short-term bond
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Types of Bonds (Cont)
Convertible Bond : Refer to the bond that can beconvert to ordinary share at the price determinedby the company
Zero Coupon Bond : The bond don’t pay interestbut the bond sold at the lower price than the par value
Euro Bond : Bond that were initially issued in the
European countries using USD currency by theforeign companies
Foreign Currency Bond : Issued in the financialmarket of a country using its own country’s
currency
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Basic Valuation of Bonds
Bond value is the total present value of
payment that must be paid by issuer from
now until to maturity date
The formula of value bond is
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Basic Valuation of Bonds (Cont.)
Dimana :
V b = Nilai intrinsik atau harga semasa bond
I = Bayaran kupon
n = Tempoh bon sehingga matang k
b = Kadar pulangan diperlukan
M = Nilai muka
PVIF = Interest factor of Present Value
PVIFA = Interest factor of Present Value Annuity
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Basic Valuation of Bonds (Cont.)
Example 4.1 : Bond A has 10 years
maturity period. The coupon bond rate is
10% per year and the interest is paid
annually. The par value of the bond isRM1,000. The return required is 8% per
year. What is the value of the bond?
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Basic Valuation of Bonds (Cont.)
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Basic Valuation of Bonds (Cont.)
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Value of Bond and Required Rate of
Return
When the required rate of return different
from the coupon bond, the value of the
bond is different from the par value. This
causes of Changes in the economic situation that causes
the cost of the long-term funds to change as
wellChange in the company risk
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Value of Bond and Required Rate of
Return (Cont.)
Required Rate of Return > Coupon Rate(k>i)Example 4.2 : Bond A has a maturity period of
10 years with the coupon rate of 10% per year and the interest payable every year. The facevalue is RM1,000 and the required rate of returnis 12%.
V = I(PVIFAk,n) + M(PVIFk,n)= RM100(PVIFA12%,10) + RM1,000(PVIF12%,10)
= RM100 (5.650) + RM1,000(0.322)
= RM887.000
The Value of bond < face value of the bond
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Value of Bond and Required Rate of
Return (Cont.)
Required Rate of Return < Coupon Rate(k<i)Example 4.3 : Bond A has a maturity period of
10 years with the coupon rate of 10% per year and the interest payable every year. The facevalue is RM1,000 and the required rate of returnis 8%.
V = I(PVIFAk,n) + M(PVIFk,n)= RM100(PVIFA8%,10) + RM1,000(PVIF8%,10)
= RM100 (6.7101) + RM1,000(0.4632)
= RM1,134.21
The Value of bond > face value of the bond
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Value of Bond and Required Rate of
Return (Cont.)
Required Rate of Return = Coupon Rate(k=i)Example 4.4 : Bond A has a maturity period of
10 years with the coupon rate of 10% per year and the interest payable every year. The facevalue is RM1,000 and the required rate of returnis 10%.
V = I(PVIFAk,n) + M(PVIFk,n)= RM100(PVIFA10%,10) + RM1,000(PVIF10%,10)
= RM100 (6.1466) + RM1,000(0.3855)
= RM1,000.16
The Value of bond = face value of the bond
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Payment of Interest Twice a Year
To calculate the value of bonds that pay
interest twice a year
Change the annual interest (I) to interest twice
a year by dividing interest with 2 (I ‚ 2)
Change the number of maturity period (n) by
multiplying n with 2 (n x 2)
Change annual required rate of return (k) bydividing k with 2 (k ‚ 2)
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Payment of Interest Twice a Year (Cont.)
The formula is
= )M(PVIF)(PVIFA2
I2n,k/22n,k/2
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Yield To Maturity (TYM) (Cont.)
Example 4.6 : Orlid Company Bhd issued bonds
that have a par value RM1,000 with a coupon rate
10% per year and matured in 10 years. The present
price of the bond is RM1,080. What is the YTM for
the bond?
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Relationship Between Value and YTM
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Relationship Between Value and YTM
(Cont.)
From the table and figure aboveWhen the required rate of return same as the
coupon rate of the bond that is 10%, the value
and the par value of the bond is same that isRM1,000
When the required rate of return increase from10% to 12%, the value of the bond decreasefrom RM1,000 to RM887
When the required rate of return decrease from10% to 8%, the value of the bond increase fromRM1,000 to RM1,134.21
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Change to Required Returns
Change in return required is depend on the period of the
bond.
The shorter the maturity period of the bond, the lower
return to the bond holder. The longer the maturity period
of the bond, the higher return to the bond holder as
shown below
Required Rate of
Return (%)
Value of Bond 10
Years (RM)
Value of Bond 5
Years (RM) 8 1,134.21 1,079.87
10 1,000.00 1,000.00
12 887.00 927.82
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Ordinary Share
Ordinary share didn’t have maturity period.
It will remain forever as long as the
company is still in operation
Return to the shareholder in form of
dividend payment
The payment of dividend done after the
dividend to the preference share paid
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Characteristics of Ordinary Share
Claim on Earning : Ordinary shareholdershave right on surplus earnings after theinterest for bind holder and dividend for
preference shareholder have been paid – in form of cash or retained earning
Claim on Earning and Assets of Liquidation : The ordinary shareholderswill be the last to claim the earning andassets after the claims of bond holdersand preference shareholders
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Characteristics of Ordinary Share (Cont.)
Voting Right : Ordinary shareholders have rightto choose the Board of Director that be done bythe shareholders or via a Proxy (giving the rightto the third party to vote on behalf of
shareholders)
Pre-emptive Right : Allow the shareholders tomaintain the ownership in hand if the companyintends to issue new share
Limited Liability : If the liquidation of thecompany occurs, the liability of the ordinaryshareholders is limited to the total invested tothe company
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Valuation of Ordinary Share
The ordinary shareholders will receive return in2 formsDividend : Profit that are distributed to shareholders
Capital Gain : The difference between selling price and
the purchase price of the share
The dividend receive by the shareholders isdepend on the company profit and the growthrate of the company.
Growth rate (g) of the company can bemeasured using the below formula
g = ROE x r
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Valuation of Ordinary Share (Cont.)
Example : If the Return on Equity (ROE)
is 18% and the profit retained is 50%, the
growth (g) is 9% (18% x 50%)
Example : If the company retains 25% of
its profit, then the value of share will
increase to 4.5% (18% x 25%)
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Valuation of Ordinary Share – Holding in
One Period
The valuation process involves 3 steps:-
Assume the cash flow that is expected to be
received in the future (Dividend + Selling Price
of the Bond at the end of the Period)Estimate the cash flow required by investor by
taking into consideration the risk of expected
cash flow
Discount the dividend that is expected to be
received and the price of share at the end of the
period
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Valuation of Ordinary Share – Holding in
One Period (Cont.)
The formula is
Where
V = Present value of ordinary share
D1 = Cash dividend that is expected to bereceived at the end of the period
P1 = Price of share that is expected at the endof the period
K = Required Rate of Return
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Valuation of Ordinary Share – Holding in
One Period (Cont.)
Example 4.7 : Assume an investor plan to buy
share in Mercu Company. It expects that the
dividend payable will be RM0.15 at the end of the
one year. It believes that the share can be sold at
the price of RM2.40 for a period of one year holding.
What is the value of Mercu’s share if the required
rate of return is 12%?
V = [D1 ‚ (1 + k)
1
] + [P1 ‚ (1 + k)
1
]= [RM0.15 ‚ (1 + 0.12)1]+[RM2.40 ‚ (1 + 0.12)1]
= RM0.13 + RM2.14
= RM2.27
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Valuation of Ordinary Share – Holding in
Multiple Periods
Share are holding more than one period
such as more than one year.
The formula is:-
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Valuation of Ordinary Share – Holding in
Multiple Periods (Cont.)
Zero Growth
Means that the dividend are not expected to
growth (g=0). This means that the dividend
receive in the future is the same with thedividend received in the previous year
(D1=D2=….=Dn)
The formula is
V = D1 ‚ k
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Valuation of Ordinary Share – Holding in
Multiple Periods (Cont.)
Zero Growth (cont.)Rias Company is a company that has been
operating for a long time in the fast foodindustry. Lately, the company had paid dividendfor RM0.20 per share. The management expectthe dividend to maintain in the future. If therequired rate of return is 12%, what is the valueof the Rias share?
V = D1 ‚ k
= RM0.20 ‚ 0.12
= RM1.67
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Valuation of Ordinary Share – Holding in
Multiple Periods (Cont.)
Constant Growth Rate
The dividend increase from time to time
Below is the formula to calculate the share if
there are period
Below is the formula to calculate the share if thebond have infinity period
V = D1 ‚ (k – g)
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Valuation of Ordinary Share – Holding in
Multiple Periods (Cont.)
Inconstant Dividend Growth
The dividend paid at the inconstant growth
There are 3 steps to calculate the value of
shareCalculate the present value of the dividends for the
entire period of inconstant growth
Calculate the share price at the end of the inconstant
period of growth and then discount this price at thepresent value
Add the present value obtained from step 1 and step
2 to obtain the intrinsic value
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Valuation of Ordinary Share – Holding in
Multiple Periods (Cont.)
Inconstant Dividend Growth (Cont.)
Example 4.10 : Assume the following
information
K = Required rate of return is 12%n = Period of inconstant growth is 3 years
gs = Rate of dividend growth is 25%
gn = Fixed rate if 6%
D0 = Last dividend paid is RM0.20 per share
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Valuation of Ordinary Share – Holding in
Multiple Periods (Cont.)
Inconstant Dividend Growth (Cont.)Calculation :Step 1 : Calculate the expected dividend for each
year
D1 = D0(1 + g)1 = RM0.20(1 + 0.25)1 = RM0.25
D2 = D0(1 + g)2 = RM0.20(1 + 0.25)2 = RM0.3125
D3 = D0(1 + g)3 = RM0.20(1 + 0.25)3 = RM0.3906
Step 2 : Calculate the price of the bond
D4 = D0(1 + g)4 = RM0.20(1 + 0.25)4 = RM0.414
P3 = D4 ‚ (k – gn)
= RM0.414 ‚ (0.12 – 0.06)
= RM6.90
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Valuation of Ordinary Share – Holding in
Multiple Periods (Cont.)
Inconstant Dividend Growth (Cont.)
Calculation :
Step 3 : Discount the cash flow for 3 years
Vcs = RM0.25(PVIF12% , 1)+ RM0.3125(PVIF12% , 2)
+ RM0.3906(PVIF12% , 3)
+ RM6.90(PVIF12% , 3)
= RM0.223 + RM0.249 + RM0.278 + RM4.911
= RM5.66
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Required Rate of Return for Ordinary
Share
The rate of return is calculated based on
the value or price of share and the
dividend received.
The expected rate of return shown for the
2 aspects of growth
Zero Growth
Constant Growth Rate
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Required Rate of Return for Ordinary
Share (Cont.)
Constant Growth Rate
The formula is
Kcs = (D1 ‚ Vcs) + g
Example 4.12 : The ordinary share for Maju Jaya
Company sold at RM3.38. The company has just paiddividend of RM0.30 per share and is expected toexperience constant growth of 8.5%. What the returnthat your expect to receive?
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Preference Shares
Characteristics of Preference Share
Issuance of Several Classes of Preference
Share : Every class of share have different
characteristicsClaim of Assets and Earning : After bond holder
and before ordinary shareholders
Cumulative Dividend : If there are dividend
arrears, the company must pay those dividend
first before the dividend paid to ordinary
shareholders
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Preference Shares (Cont.)
Characteristics of Preference Share
(Cont.)
Provision for Protection : To protect the interest
of preference shareholdersConvertible Preference Share : The preference
share have option to convert it to several units
of ordinary share
Redeemable Preference Share : Company can
call back the share if the interest rate decrease
and will issue new preference share at the
lower rate
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Valuation of Preference Share
There are 3 steps to evaluate preferenceshare Assume the amount and timing of the cash flow
that will be received from the investment of preference share
Calculate the risk of cash flow that is expectedto be received and then determine the rate of return required by the investor
Calculate the intrinsic value by discounting allthe cash flow
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Valuation of Preference Share
The formula is
Vps = D ‚ kps
Example 4.13 : The annual dividend that
is expected to be receives is RM0.36 per shares. The rate of return required is 7%.The value of the preference share is
Vps = D ‚ kps = RM0.36 ‚ 0.07
= RM5.14
E d R f R f P f
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Expected Rate of Return for Preference
Share
The formula is
kps = D ‚ Vps
Example 4.14 : Cher Mate Company sold
its preference share at RM5.50 and paysdividend of RM0.25 per share. What theexpected return of the preference share?
kps = D ‚ Vps = RM0.25 ‚ RM5.50
= 4.54%