Cheryl Mew
FINS2624 – Portfolio Management
Semester 1, 2011
LECTURE 1 – BOND PRICING
WHAT IS A BOND?
A bond is a claim on some fixed future cash flows. A commonwealth government bond (CGB) is a bond which pays semi-annual coupons, in which the maturity date/ coupon payment date is on the 15th of every month. A zero coupon bond is a bond with no coupons. The important information of a bond: 1. 2. 3. 4. 5. 6. • 1. 2. Transaction date: T Settlement date:T+2 Coupon payment dates Maturity date YTM Coupon rate Cum-interest or Ex-interest? If ex-interest If> 7 days to the next coupon payment-----> cum-interest
YIELD TO MATURITY
The Yield to Maturity (YTM) of a bond is: Interest rate that makes the present value of the bond’s
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Cheryl Mew
FINS2624 – Portfolio Management
Semester 1, 2011
LECTURE 2 – TERM STRUCTURE OF INTEREST RATES
YTM AND HPR
Yield to maturity (YTM) reflects the return required and set by the market on the assumption that the bond is held to maturity. In equilibrium, it is also the return that investors can expect to earn over the life of the bond. Holding Period Return (HPR) is the expected return over a future period, and is not based on the assumption that the bond is held to maturity. SIMILARITIES Both expressed as annualised returns (not effective rates) Use the settlement price as cost base Total returns accounting for both the coupon interest component and the capital gain/loss component
DIFFERENCES YTM is observed and set by the market, HRP is not YTM assumes that coupon interests are all invested at the same rate as quoted YTM, HPR allows for different reinvestment interest rates received at different times YTM assumes that bond is held to maturity, HPR assumes that bond is to be sold before maturity
CALCULATING HPR HRP is used for comparing the expected return among alternate investments over the same predetermined holding period. However, to accomplish this task, future interest rates for different lengths are required.
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a. The Yield to Maturity (YTM) is the nominal rate of return which investors would realize if they held the bond to maturity and the bond did not default.
The yield to maturity on a 15-year bond is a true estimate of the cost of 30-year bond
∆P/P = –D*(∆y) D* = D/(1 + y) = 7/1.073 = 6.52 ∆P/P = –D*(∆y) = –6.52(–0.09%) = .59% New price = $1,073(1.0059) = $1,079.33 Learning Objective: 11-02 Compute the duration of bonds; and use duration to measure interest rate sensitivity.
What are HR policies: Human resource policies (HR) are rules and guidelines that all workers must follow. Human resource policies are typically set in place by the corporate office of the company. These policies deal with recruitment, hiring, transferring, workplace expectations, benefits, payroll, and workplace health and safety. These HR policies affect the overall morale of ones companies. Keeping workers content keeps the company in a good stand point. Happy workers are going to perform their best which will give the company positive
Victoria should report the purchase price of the additional similar bonds as investment in long- term bonds-a noncurrent asset-and the two months' accrued interest as interest receivable-a current asset. The amount paid by Victoria for the two months' interest accrued between the last interest payment and the date of the purchase should not be included in the investment in long-
Jackson Corporation’s bonds have N=12 years remaining to maturity. Interest is paid annually, the bonds have a FV=$1,000 par value, and the coupon interest rate is PMT=8%. The bonds have a yield to maturity of I=9%. What is the current market price of these bonds? $928.39
Suppose that a 30-year U.S. Treasury bond offers a 4% coupon rate, paid semiannually. The market price of the bond is $1,000, equal to its par value.
In a more specific term, by breaking down the P&L of the portfolio, the realized profits of the short term, mid-term and long-term bonds are $327,000, $149,000 and $496,000, respectively. All the three bonds have similar trends in price line except that at the end of second period, the short-term bond fluctuates in the range of $100.6 to $101.8 while the other two bonds experience huge price rocket. For the short-term
To determine the price of the bond, the face value of the bond must be brought to its present value. The rationale behind this comes from an investment principle that considers that the money given up in the present could yield a gain in the long term if used as an investment. To arrive to the present value, we use a market rate that represents the yield the average investor would require to spend money in a new venture (in this particular case, 11%). Therefore, even though the Bond’s face value might be $1,000,000, your company is expected to get $924,623.74. The difference between this two numbers, $75,376.26, is considered a discount that you allow for offering a rate that is lower than the rate requested by the investors (in this case, 9%).
Why? Because the YTM is defined as the rate which, if used to discount the bond’s cash
Moreover, assuming that the bond interest rate $r$ is constant, the above-mentioned equation can be simplified to:
300 Year 4 300 Year 5 300 Year 6 300 YTM calculation assumes that coupon payments will be reinvested over time at the same level Future Value Analysis Time Cash-Flows All cash-flows referenced to Year 6.
Bond Discount represents an additional cost of borrowing and should be recorded as bond interest expense over the life of the bond. To follow the matching principle, bond discount is allocated to expense in each period in which the bonds are outstanding. This is referred to as amortizing the discount. Amortization of the discount increases the amount of interest expense reported each period. As the discount is amortized, its balance will decline and as a consequence, the carrying value of the bonds will increase, until at maturity the carrying value of the bonds equals their face amount. The journal entries are as follow:
The Human resource department, HR, has shown a big change in responsibilities and roles with the devolution of HR taking place all over the world. The job of HR has moved from being more tactical to being more strategic in nature. A major chunk of functions that were handled by HR manager before have now been given to the line managers and therefore allow the HR department to focus more on planning strategies which will help lead the organization to a better position.
Term structure interest rate is a rate which relates the interest rate or rate of return to the time to maturity.