# Financial Management: Common Stock Valuation Models Essay

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## Question:

Describe about the Financial Management for Common Stock Valuation Models.

### 1: Portfolio Valuation

#### a) Covariance between shares:

 Correlation = Covariance of both stock return / (SD of stock 1 * SD of stock 2) -0.3 = Covariance of both stock return / (18% * 32%) Covariance of both stock return = -0.3 * (18% * 32%) Covariance of both stock return = -0.01728

### b) Expected return and SD of the portfolio:

Expected return from the portfolio:

 Expected return = w1R1 + w2R2 Expected return = (35% * 12%) + (65% * 24%) Expected return = 4.2% + 15.6% Expected return = 19.80%

Standard Deviation from the portfolio:

 Variance = [(w12R12) + (w12R12) + (2* R1 * R2 *CovR1R2) Variance = [(((35%)^2)*((18%)^2))+(((65%)^2)*((32%)^2))+(2 * 35% * 65% * -0.01728)] Variance = 3.94% Standard Deviation = ?Variance Standard Deviation = ? 3.94% Standard Deviation = 19.84%

### c) Depicting the weight of portfolio:

 Weighted of Jay shares: Expected return = (R1 – R2) / R2 15.60% = W1 * (12% – 24%) / 24% W1 = 70%
 Weighted of Kay shares: Expected return = (R2 – R1) / R1 15.60% = W2 * (24% – 12%) / 12% W1 = 30%

### d) Calculating the variance and SD of the portfolio:

 Variance = [(w12R12) + (w12R12) + (2* R1 * R2 *CovR1R2) Variance = [(((70%)^2)*((18%)^2))+(((30%)^2)*((32%)^2))+(2 * 70% * 30% * -0.01728)] Variance = 1.78% Standard Deviation = ?Variance Standard Deviation = ? 1.78% Standard Deviation = 13.35%

### 2: Bond Valuation

#### a) Calculating the Market price of each bond:

 Bond A B C Total Period 5 10 8 Yield Rate 7.50% 7.50% 7.50% Half Year Coupon Rate 6.50% Coupon Payment 0 65 55 Coupon Rate p.a. 0% 5.50% No. of Coupon Payments 0 20 8 Half Yearly Yield Rate 3.75% 3.75% Face Value 1000 1000 1000 Market Price of Bonds 1000 1382.15 882.85

### b) Classifying the bond on premium, par, or discount:

The Face value and market value of Bond A has not changed, which only depicts the bond as At Par. In addition, the Bond B’s market value is higher than its face value, which depicts that the bond classification as At Premium. Furthermore, Bond C’s market value is lower than its face value, which classifies the bond as At Discount.

### c) Depicting the number of bond that needs to be issued by Jasmine for raising the capital:

 Total number for Bond sales = Total capital requirement / Bond B market price Total number for Bond sales = \$465260 / 1382.15 Total number for Bond sales = 337

In addition, Jasmine needs to sell around 337 of Bond B to attain the capital of \$465,260.

### 3: Share valuation

#### a) Depicting the current market price of NoChange Ltd with no growth potential:

 Zero growth dividend model = Dividend / (Discounting rate) Zero growth dividend model = \$4.25 / 10% Zero growth dividend model = \$42.5

### b) Depicting the current market price of ConstantGrowth Ltd with growth potential:

 Constant growth dividend model = Future Dividend / (Discounting rate – Growth rate) Constant growth dividend model = (Current dividend * Growth rate) / (Discounting rate – Growth rate) Constant growth dividend model = (\$4.25 * 4%) / (10% - 4%) Constant growth dividend model = \$73.67

### c) Depicting the current market price of SteadyGrowth Ltd:

 Steady growth dividend model = Future Dividend / (Discounting rate – Growth rate) Steady growth dividend model = \$4.25 / (10% - 4%) Steady growth dividend model = \$70.83

### d) Depicting the current market price of SuperGrwoth Ltd:

 The super normal growth for three years D1 = \$4.25 * 1.12 = \$4.76 D2 = \$4.76 * 1.12 = \$5.3312 D3 = \$5.3312 * 1.12 = \$5.970944 ) / (0.10 - 0.04) P3 = \$103.496 After three years, steady growth rate of 4% P3 = D3 * (1 + g) / (R - g) P3 = (\$5.970944 * 1.04 Present valuation of the share price: P0 = D1 / (1+R)1 + D2 / (1+R)1/2 + D3 / (1+R) 1/3 + P3 / (1+R) 1/3 P0 = \$4.76 / (1.10) + \$5.3312 / (1.10) 1/2 + \$5.970944 / (1.10) 1/2 + \$103.496 / (1.10)3 P0 = 4.3272 + 4.406 + 4.486 + 77.7581 P0 = \$90.977

### e) Depicting the current market price of QuickGrowth Ltd:

 The super normal growth for three years D1 = 4.25 D2 = \$4.25 * 1.12 = \$4.76 D3 = \$4.76 * 1.12 = \$5.3312 D4 = \$5.3312 * 1.12 = \$5.970944 After three years, steady growth rate of 4% P4 = D4 * (1 + g) / (R - g) P4 = (\$5.970944 * 1.04) / (0.10 - 0.04) P4 = \$103.496 Present valuation of the share price: P0 = D1 / (1+R) + D2 / (1+R)1/2 + D3 / (1+R)1/3 + D4 / (1+R)1/4 + P4 / (1+R)1/4 P0 = \$4.25 / (1.10) + \$4.76 / (.10)1/2 + \$5.3312 / (.10) 1/3 + \$5.970944 / (.10) 1/4 + \$103.496 / (.10) 1/4 P0 = 3.8636 + 3.93388 + 4.0054 + 4.0782 + 70.689 P0 = \$86.57033

### Conclusion:

The overall report mainly helps in depicting the calculation of bond valuation, portfolio valuation and share price valuation. In addition, the novice with the help of effective formula was able to complete the assignments requirements. Furthermore, the understanding of calculations mainly help in providing the working for different calculations.

### Recommendation:

The calculation of bond valuation, portfolio valuation and share price valuation could be effective used by the novice for detecting the prices of a security. In addition, these formulas could be applied in the real world for determining the risk and return, which could be generated from a particular investment.

## Bibliography:

Anderson, R.N. and Haslem, J.A., 2015. Common Stock Valuation Models: Estimation of the Discount Rate Using the Geometric-Mean Criterion. Baylor Business Studies, 7(2), pp.41-45.

Ballotta, L. and Kyriakou, I., 2015. Convertible bond valuation in a jump diffusion setting with stochastic interest rates. Quantitative Finance, 15(1), pp.115-129.

Berthelot, S., Francoeur, C. and Labelle, R., 2012. Corporate governance mechanisms, accounting results and stock valuation in Canada. International Journal of Managerial Finance, 8(4), pp.332-343.

Brada, J., 2014. Use of Forward Interest Rates and Forward Exchange Rates for the Valuation of Currency-Interest Rate Derivatives. ??esk? finan?Ќn? a ??Ќetn? ?Ќasopis, 2014(1).

Cici, G., Kempf, A. and P?tz, A., 2013, May. The valuation of hedge funds' equity positions. In AFA 2012 Chicago Meetings Paper.

Entrop, O., Peters, C. and Wilkens, M., 2014. Open-End Knock-Outs on Bond Futures: Valuation, Properties and Estimation of Hidden Profit Drivers.Properties and Estimation of Hidden Profit Drivers (April 21, 2014).

Guojun, W., Donghua, C. and Dequan, J., 2014. Does Differentiated Dividend Tax Affect Stock Valuation?. Nanjing Journal of Social Sciences, 4, p.004.

Iacob, M.E., Quartel, D. and Jonkers, H., 2012, September. Capturing business strategy and value in enterprise architecture to support portfolio valuation. In Enterprise Distributed Object Computing Conference (EDOC), 2012 IEEE 16th International (pp. 11-20). IEEE.

Parrino, R, Kidwell, D, Au Yong, H, Morkel-Kingsbury, N, Dempsey, M and Murray, J 2011, Fundamentals of corporate finance, 1st edn, Wiley, Sydney.

Quartel, D., Steen, M.W. and Lankhorst, M.M., 2012. Application and project portfolio valuation using enterprise architecture and business requirements modelling. Enterprise Information Systems, 6(2), pp.189-213.

Tian, Y., Rood, R. and Oosterlee, C.W., 2013. Efficient portfolio valuation incorporating liquidity risk. Quantitative Finance, 13(10), pp.1575-1586.

Vicente, M., Gama, N. and da Silva, M.M., 2013, September. The value of itil in enterprise architecture. In Enterprise Distributed Object Computing Conference (EDOC), 2013 17th IEEE International (pp. 147-152). IEEE.