FINC 322 - Chapter 7-10 Answers

FINC 322 - Chapter 7-10 Answers - Attached is the file that...

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Attached is the file that contains answers to chapter-end problems for chapters 7 through 10. You can safely skip problems we do not cover in class but you might want to do problems that are a simple extension of or combination with what we have covered earlier. Thanks CL CHAPTER 7 Solutions to Questions and Problems Basic 1. The yield to maturity is the required rate of return on a bond expressed as a nominal annual interest rate. For noncallable bonds, the yield to maturity and required rate of return are interchangeable terms. Unlike YTM and required return, the coupon rate is not a return used as the interest rate in bond cash flow valuation, but is a fixed percentage of par over the life of the bond used to set the coupon payment amount. For the example given, the coupon rate on the bond is still 10 percent, and the YTM is 8 percent. 2. Price and yield move in opposite directions; if interest rates rise, the price of the bond will fall. This is because the fixed coupon payments determined by the fixed coupon rate are not as valuable when interest rates rise—hence, the price of the bond decreases. NOTE: Most problems do not explicitly list a par value for bonds. Even though a bond can have any par value, in general, corporate bonds in the United States will have a par value of $1,000. We will use this par value in all problems unless a different par value is explicitly stated. 3. The price of any bond is the PV of the interest payment, plus the PV of the par value. Notice this problem assumes an annual coupon. The price of the bond will be: P = $75({1 – [1/(1 + .0875)] 10 } / .0875) + $1,000[1 / (1 + .0875) 10 ] = $918.89 We would like to introduce shorthand notation here. Rather than write (or type, as the case may be) the entire equation for the PV of a lump sum, or the PVA equation, it is common to abbreviate the equations as: PVIF R,t = 1 / (1 + r) t which stands for P resent V alue I nterest F actor PVIFA R,t = ({1 – [1/(1 + r) ] t } / r ) which stands for P resent V alue Interest F actor of an A nnuity
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B-2 SOLUTIONS These abbreviations are short hand notation for the equations in which the interest rate and the number of periods are substituted into the equation and solved. We will use this shorthand notation in remainder of the solutions key. 4. Here we need to find the YTM of a bond. The equation for the bond price is: P = $934 = $90(PVIFA R% ,9 ) + $1,000(PVIF R %,9 ) Notice the equation cannot be solved directly for R . Using a spreadsheet, a financial calculator, or trial and error, we find: R = YTM = 10.15% If you are using trial and error to find the YTM of the bond, you might be wondering how to pick an interest rate to start the process. First, we know the YTM has to be higher than the coupon rate since the bond is a discount bond. That still leaves a lot of interest rates to check. One way to get a starting point is to use the following equation, which will give you an approximation of the YTM: Approximate YTM = [Annual interest payment + (Price difference from par / Years to maturity)] /
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FINC 322 - Chapter 7-10 Answers - Attached is the file that...

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