Tutorial Week 8

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University of Wollongong *

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Finance

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Jan 9, 2024

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Tutorial week 8 6.4 Define yield to maturity. Why is it important? for a bond, the discount rate that makes the present value of the coupon and principal payments equal to the price of the bond. It can be measured which is how much investment and how much return. 6.9 An investor holds a 10-year bond paying a coupon of 9 per cent. The yield to maturity of the bond is 7.8 per cent. Would you expect the investor to be holding a par-value, premium or discount bond? What if the yield to maturity were 10.2 per cent? Explain. If the YTM is 7.8%, the investor will be holding a premium. If the YTM is 10.2%, the investor will be holding a discount. 6.6 Zero coupon bonds: Chelsea Carter is interested in buying a 5-year zero coupon bond whose face value is $1000. She understands that the market interest rate for similar investments is 7.96 per cent. Assume annual coupon payments. What is the current price of this bond? Bond Value = 1000 / (1+0.076) ^5 = $693.33 6.7 Zero coupon bonds: 10-year zero coupon bonds issued by the Queensland Treasury has a face value of $1000 and interest is compounded semi-annually. If similar bonds in the market yield 11.32 per cent, what is the value of these bonds? Bond Value = 1000 / ((1+(0.1132/2)) ^(2*10) = $332.50 6.15 Bond price: Metasale Ltd is issuing 8-year bonds with a coupon rate of 7.99 per cent and semi-annual coupon payments. If the current market rate for similar bonds is 9.53 per cent, what will be the bond price? Assume each bond has a face value of $1000. If the company wants to raise $1.25 million, how many bonds does it have to sell? C/2 = (1000*0.0799)/2 = 39.95 i/2 = 0.0953/2 = 0.04765 YTM = n = 8*2 = 16 Bond Value = 39.35 * ((1-(1/(1+0.04765) ^16)) / 0.04765) + 1000 * ((1+0.04765) ^16) = 440.30 + 474.83 = $915.13 1,250,000 / 915.13 = $1,365.93
6.16 Bond price: QBE Insurance Group Ltd has outstanding bonds with a face value of $1000 that will mature in 6 years and pay an 8 per cent coupon, interest being paid semi-annually. If you paid $1036.65 today and your required rate of return was 6.6 per cent, did you pay the right price for the bond? C = (1000 * 0.08) / 2 = 40 I = 0.066 / 2 = 0.033 YTM = 2 * 6 = 12 40 * ((1-(1/(1+0.033)^12))/0.033) + (1000/(1+0.033)^12) = $1,068.45 The price is lower than the actual price of the bond. This means this is a good deal for the buyer. 7.8 Why is share valuation more difficult than bond valuation? The time and size are less certain. Shares have no maturity value. 7.9 You are currently thinking about investing in a share currently trading at $25. The share recently paid a dividend of $2.25 and is expected to grow at a rate of 5 per cent for the foreseeable future. You normally require a return of 14 per cent on shares of similar risk. Is the share overpriced, under-priced or correctly priced? D1 = 2.25 * 1.05 = 2.3625 P0 = 2.3625 / (0.14 – 0.05) = $26.25 Therefore, $26.25 is higher than $25 which means the share is under-priced. 7.14 Constant growth: Kathleen Ferrero is interested in purchasing the ordinary shares of Vespertine Pty Ltd which are currently priced at $39.96. The company expects to pay a dividend of $2.58 next year and expects to grow at a constant rate of 8 per cent. a What should the market value of the share be if the required rate of return is 14 per cent? b Is this a good buy? Why or why not? P0 = 2.58 / (0.14 – 0.08) = $43 Yes, this makes profits. 7.15 Constant growth: The required rate of return is 23 per cent. Gnangara Pty Ltd has just paid a dividend of $3.12 and expects to grow at a constant rate of 5 per cent. What is the expected price of the share 3 years from now? D4 = 3.12 * (1.05) ^4 = 3.7923795 P3 = 3.7923795 / (0.23 – 0.05) = $21.07 7.16 Constant growth: Pedro Sanchez is interested in buying shares in TreeTop Pty Ltd which is growing at a constant rate of 8 per cent. Last year the company paid a
dividend of $2.65. The required rate of return is 18.5 per cent. What is the current price for this share? What would be the price of the share in year 5? D6 = 2.65 * (1.08) ^6 = 4.205216956 P5 = (2.65 * (1.08) ^6) / (0.185 – 0.08) = $40.05 7.26 Gerald Neut owns shares in Patina Pty Ltd. Currently, the market price of the share is $36.34. The company expects to grow at a constant rate of 6 per cent for the foreseeable future. Its last dividend was worth $3.25. Gerald’s required rate of return for such shares is 16 per cent. He wants to find out whether he should sell his shares or add to his holdings. a What is the value of this share? b Based on your answer to part a, should Gerald buy additional shares in Patina Pty Ltd? Why or why not?
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