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Stock Valuation Guide: Methods, Types & Practical Examples for CA, CMA, ACCA & CIMA

Stock valuation is the process of determining the intrinsic or fair value of a company's stock. Investors and analysts use various methods to assess the worth of a stock to make informed decisions about buying, selling, or holding the shares. Here are some common approaches to stock valuation:

1. Fundamental Analysis:

This method involves analyzing a company's financial statements, industry position, management team, and economic outlook to estimate its true value. Key financial ratios and metrics, such as price-to-earnings (P/E) ratio, price-to-book (P/B) ratio, and dividend yield, are often used in this approach.
2. Price-to-Earnings Ratio (P/E Ratio):

The P/E ratio is one of the most popular valuation metrics. It compares the stock price to the company's earnings per share (EPS). A high P/E ratio may indicate that the stock is overvalued, while a low P/E ratio may suggest an undervalued stock. However, it's crucial to consider the company's growth prospects and industry norms when interpreting the ratio.
3. Price-to-Book Ratio (P/B Ratio):

The P/B ratio compares the stock's market value to its book value (total assets minus intangible assets and liabilities). A P/B ratio below 1 may indicate that the stock is undervalued, but it's essential to assess the company's financial health and future growth prospects.
4. Discounted Cash Flow (DCF) Analysis:

DCF analysis estimates the present value of a company's future cash flows, considering factors like projected revenue, expenses, and capital expenditures. This method attempts to determine the intrinsic value of a stock based on its ability to generate cash flow in the future.
5. Dividend Discount Model (DDM):
DDM is used to value stocks that pay dividends regularly. It calculates the present value of expected future dividends, considering factors like dividend growth rate and discount rate.
6. Comparable Company Analysis (CCA):

In CCA, analysts compare the valuation multiples (P/E, P/B, etc.) of the company in question with those of similar publicly-traded companies. This approach assumes that similar companies in the same industry should have similar valuation ratios.
7. Comparable Transaction Analysis (CTA):

Similar to CCA, CTA compares the valuation of the target company with prices paid for similar companies in recent mergers and acquisitions. It's essential to note that stock valuation is not an exact science, and different methods can yield varying results. Additionally, stock prices are influenced by market sentiment, geopolitical events, and overall market conditions, which might not always reflect a company's true intrinsic value. Therefore, it's crucial for investors to consider multiple factors and use a combination of valuation methods to make well-informed investment decisions.
Abbreviation

Po = Current price/Present price/intrinsic value of share

P1=coming year price /next year price/ expected price of share

D0=Current dividend/present dividend/last year dividend

D1= coming year dividend/next year dividend/ expected dividend/Year end dividend

Eo=Current earnings per share /present earning per share

E1=next year Earnings per share / Expected earnings per share

Ke=Cost of equity/cost of capital/expected rate of return/discount rate/opportunity cost/required rate of return

G=Growth rate/Increasing rate of dividend

B=Retention ratio/ percentage of retain earnings

r=return on equity/rate of return

D/p ratio=Dividend payout ratio

Common stock valuation methods

There are three methods to valuation of common stock

1.Zero Growth Model

2.Constant growth Model

3.Dividend discount Model(DDM)

Let’s to discuss some Important formula

Under Zero growth Model

1.Po=Do/Ke [ where no mention growth rate in the sum)

Under constant growth Model

2.Po=D1/Ke-g[ where mention growth rate in the sum)

Under dividend discount Model(DDM)

There are two parts in dividend discount Model (DDM)

1.Single period Valuation Model

3.Po=d1+p1/1+ke

2.Multi period valuation model

4.po=D1 /(1+ke)1 D2 /(1+ke)2+ …….Dn+pn/(1+ke)n

5.=g=b*r

6. b=1-D/p ratio

7.D/P ratio=1-b

8.Po=Eo*D/P ratio

9.P1=E1* D/p ratio

10.D1=D0(1+g)

Practical Example -01

ABC company pays a dividend of Tk.10 per share. Company’s growth rate is zero percent. If the cost of equity is 12%. What will be the present value of share?

We know that,

Po = Do/Ke

= 10/0.12

= Tk.83.33

Bond Valuation: Definition, Formula & Examples Guide for CA, CMA, ACCA & CIMA Students:

Bond valuation is the process of determining the fair value or intrinsic worth of a bond. It is essential for investors and financial analysts to assess whether a bond is a good investment and to compare different bonds with varying characteristics. Bonds are debt securities issued by corporations, governments, or other entities to raise capital. When you buy a bond, you are effectively lending money to the issuer, and in return, you receive periodic interest payments (coupon payments) and the principal amount (face value) back at maturity.
There are several factors that come into play when valuing a bond:

Coupon rate:
This is the annual interest rate specified on the bond, which is used to calculate the periodic coupon payments.
Maturity date:

The date on which the bond will reach its full face value and be redeemed by the issuer.
Face value (par value):

The nominal or original value of the bond, which will be returned to the bondholder at maturity.
Market interest rates:

The prevailing interest rates in the market at the time of valuation. Bonds with fixed coupon rates will be more or less attractive based on how their coupon rate compares to the current market rates.

There are two primary methods of bond valuation are:

Present Value (PV) Method:

This method discounts all the future cash flows (coupon payments and face value) of the bond back to the present at a discount rate that represents the bond's required rate of return. The present value of these cash flows represents the fair value of the bond.
Yield to Maturity (YTM)(r):
The YTM is the total return anticipated on a bond if it is held until it matures. It takes into account the current market price of the bond, its coupon rate, and the time remaining until maturity. The YTM is the discount rate that equates the present value of the bond's cash flows to its current market price.

If the bond's current market price is higher than its fair value (determined by the PV method), the bond is said to be trading at a premium. Conversely, if the market price is lower than the fair value, the bond is trading at a discount.

Keep in mind that bond valuation can be more complex for bonds with special features such as variable coupon rates, embedded options, or convertible features. Additionally, credit risk associated with the issuer's ability to pay its obligations should also be taken into account while valuing a bond.

There are three way to issue Bond such as-

1. Bond issue at par

2. Bond issue at Premium

3. Bond issue at discount

There are some matter are consideration for Bond valuation

1. Maturity Value

2. Required rate of return

3. Amount of Interest

4. Period of repayment (Years)

5. Bond issue at discount / at premium

6. Flotation cost consideration (if any)

7.NSV = Net sale value calculation [when flotation cost exist]

8. Flotation cost charged only Face value [whether or not, Bond issue at discount or at a premium]
9.Coupon rate / discount rate {where consider interest implies against coupon rate/Discount rate denote(r)}
10.Multiple compound interest =Annually, Half-yearly, quarterly, monthly, Bi- monthly
11.Bi monthly = once in every two month [when 1 year , m = 6]
Abbreviation

YTC =Yield to call

CY = Current Yield

MV / RV =Maturity value

Int=Amount of interest

r =Yield to maturity /required rate of return/ discount rate

N=Numbers of year
Bi- monthly = once in every two months

semimonthly/Twice a month = occurring twice a month

M = Yearly interest factor( wheres, M implies,divided to the rate of interest & multiply the number of years)

YTM (r)=Yield to Maturity/ required rate of return/ discount rate

PVIFA = Present value interest factor Annuity or, {1-1/(1+r)n/r}

PVIF = Present value interest factor respectively or, {1/(1+r)n }

RV / MV= Redeemable value

N=Number of years

CP=call price

SV=sales value

FV= Face value
Perpetual bond = where no mention any year & maturity time ,but continuing forever.....
FC = Flotation cost
Some Important Formulas of Bond Valuation

1. Bond Valuation (Bv)=Int{1-1/(1+r)n/r}+MV/(1+r)n (Normal way)

2. Bond Valuation (Bv)=MV/(1+r)n (When determined O coupon bond)

3. Bond Valuation (Bv)=Total interest/Discount rate(when no mention time period)

4. Bond Valuation (Bv) = (Int*PVIFA) + (RV*PVIF)(when Calculate BV by using (PVIFA & PVIF )

5.PVIFA ={1-1/(1+r)n /r}

6.PVIF ={1/(1+r)n }

7.Bond value(Bv) =(Int*PVIFA)+(RV*PVIF) (When PVIFA & PVIF exist in the question)

8. Bond value (Bv)=Int/r

9. Current Yield =(Int/sales value)*100

10. YTM = Int+RV-SV/N/ RV+SV/2*100 (When flotation cost not exist)

11. YTM=Int+RV-NSV/N/ RV-NSV/N*100 (When flotation cost exist)

12. YTC=Int+CP-SV/N/ CP+SV/N*100 (When call price & call years is given)

13. Capital Gain / Loss =YTM- Current Yield

14. FV=SV (1+r) n [ when coupon rate not exist in the question)

15.Perpetual bond(Bv) = Int /r [where no mention any year & maturity time ,but continuing forever.....]

16.Sale Value(SV) = (Interest / Current Yield) [ whether no mention sales value]

Note- YTM value half year, then convert full year
Let’s start with Practical Example-01.

Uttara Motors bond have 10 years remaining to maturity.

Interest is paid annually .The Bond have a Tk.1000 par value, and the coupon interest rate 8%.

The Bond has a yield to Maturity of 9%.

Requirement:

1. What is the current market price of these Bond?

Here,

FV=Tk.1000, MV=Tk.1000 , Interest =1000*8% = TK.80, r= 9% or 0.09, N=10 years

We know that,

Bond Valuation (Bv)=Int{1-1/(1+r)n/r}+MV/(1+r)n

=80 {1-1/(1+0.09)10/0.09}+1000/(1.09)10

= 80 {1-0.4224/0.09}+1000/2.3674

= 80* {0.5776/0.09}+422.40

= (80*6.4177)+422.40

= 513.42+422.40

= Tk.935.82(Ans)

Cost of Capital: Meaning, Formula, Examples & Easy Calculation Guide for CA, CMA, ACCA & CIMA Students:

The cost of capital refers to the required rate of return that a company must achieve in order to attract investment and fund its operations. It is the cost of financing a company's activities through a mix of debt and equity. The cost of capital is a crucial concept in corporate finance and is used in various financial decision-making processes, such as evaluating potential investments, determining capital structure, and assessing overall corporate performance.

There are different components of the cost of capital:-

Cost of Debt:

This is the interest rate a company pays on its debt, such as bonds or loans. It represents the cost of borrowing money.

Cost of Equity:

This is the return that shareholders require for investing in the company's stock. It is often estimated using models like the Capital Asset Pricing Model (CAPM), which considers the risk-free rate, the company's beta (a measure of its volatility compared to the market), and the market risk premium.

Weighted Average Cost of Capital (WACC):

This is the weighted average of the cost of debt and the cost of equity, taking into account the company's capital structure (the proportion of debt and equity in its financing). It reflects the overall cost of funding the company's operations and projects.

The formula for calculating WACC is:

WACC=EV×Re+DV×Rd×(1−Tc)WACC=VE​×Re+VD​×Rd×(1−Tc)

Where:

EE = Market value of the company's equity
DD = Market value of the company's debt
VV = Total market value of the company's equity and debt
ReRe = Cost of equity
RdRd = Cost of debt
TcTc = Corporate tax rate

It's important to note that the cost of capital can vary depending on factors such as the company's risk profile, the industry it operates in, prevailing interest rates, and overall economic conditions. Companies aim to invest in projects or activities that generate returns greater than their cost of capital, ensuring value creation for shareholders.

Calculating and understanding the cost of capital is essential for making informed financial decisions and evaluating the attractiveness of investment opportunities.

There are four sources for collect long term capital-

1. Cost of debt /Bond /debenture /Loan

2. Cost of preferred stock

3. Cost of common stock

4. Cost of retained earning
Abbreviation

Ki = Cost of debt before tax

Kd= Cost of debt after tax

Int= interest

Tr =Tax rate

NSV = Net sales value (sales-floatation cost)

RV =Redeemable value

SV = sales value

N = Numbers of years

Kp= Cost of preferred stock

PD =Preference dividend

Po =Sales price/Market price /Issue Price

Fc= Flotation cost

Ke=Cost of common stock/common share/Equity

Do=Current year dividend/ last year dividend/normal dividend

D1=Next year dividend/End of year dividend/ expected dividend/ coming year dividend

Po=Sales price/market price /issue price

G=Growth rate /Increase rate

Pt= personal tax

Kr=Cost of retained earning
Some important formulas of cost of capital
(01). (Part- cost of debt)

01.Ki = (Int/NSV)*100 [when, no mention years & tax rate]

02.Kd = {(Int(1-tr)/NSV)}*100 [when, no mention years & But exist tax rate]

03.Kd = Ki(i-tr) [when, cost of debts % & exist tax rate]

04. Kd = Int(1-tr)+ RV-NSV/N /RV+NSV/2 *100 [when, years &Tax rate exist ]
(2).(Part-cost of preferred stock /preference share)

05.Kp = ( pd/po)*100 [when years & flotation cost not exist]

06.Kp = (pd/po-Fc)*100 [when no mention years but flotation cost exist]

07.Kp = (pd+RV-NSV/N/RV+NSV/2*100 [when exist years & flotation cost ]

08.Kp = pD(1+DT)/Po-Fc*100

09.kp = PD(1+DT)+RV-NSV/N /RV+NSV/2*100
(3).(Part- cost of common stock /common share / Equity)

10.Ke = Do/Po*100 [When exist dividend rate & sales price/ market price]

11. Ke = D1/Po-Fc+G)*100 [When exist dividend increase rate & sales price/ market price]

12.D1 = Do(1+G)

(4). (Part- cost of Retained Earning)

13.Kr = ke(1-Pt)

14.Kr = D1/Po+g*100

15.Ke = D1(1-Pt)/Po+g*100
Lets start with Practical Examples....
(01). (Part- cost of debt)

Practical Example (01)

A company has 15% perpetual debt of Tk.100,000. The tax rate is 50%. Determine the cost of capital before- tax as well after tax, assuming the debt is issued at (i)par (ii)10% discount(iii)10% premium.

Solution (i) at par

Here,Debt=1,00,000,Interest=1,00,000*15%=15,000,NSV=1,00,000, Tr=50%,

Before tax cost of debt

Ki=(Int/NSV)*100 [when, no mention years & tax rate]

=(15,000/1,00,000)*100

=15%
After tax cost of debt

Kd ={(Int(1-tr)/NSV)}*100 [when, no mention years & But exist tax rate]

={(15,000(1-0.50)/1,00,000)}*100

=7.50%

Solution (ii) at 10% discount

Here, debt=100000, Interest=(1,00,000*15%)=15,000,,NSV={1,00,000-(1,00,000*10%)}=Tk.90,000

Tr=50%

Before tax cost of debt

Ki=(Int/NSV)*100 [when, no mention years & tax rate]

=(15,000/90,000)*100

=16.67%

After tax cost of debt

Kd ={(Int(1-tr)/NSV)}*100 [when, no mention years & But exist tax rate]

={(15,000(1-0.50)/90,000)}*100

=8.34%

Solution (iii) at 10% premium

Here,NSV=1,00,000*.110=Tk.1,10,000,Tr=50%

Before tax cost of debt

Ki=(Int/NSV)*100 [when, no mention years & tax rate]

=(15,000/1,10,000)*100

=13.64%

After tax cost of debt

Kd ={(Int(1-tr)/NSV)}*100 [when, no mention years & But exist tax rate]

={(15,000(1-0.50)/1,10,000}*100

=6.82%

For the full overview pls vist- corporate practice bd