Concept explainers
To determine: The probability of having less than -3.9% return.
Introduction:
The
Standard deviation refers to the variation in the actual observations from the average.
To determine: The range of returns that would occur 95 percent of the time.
Introduction:
The Normal distribution curve is a bell-shaped curve formed based on the frequency distribution of the observations The mean or average of the observations and their standard deviation define the normal distribution curve.
Standard deviation refers to the variation in the actual observations from the average.
To determine: The range of returns that would occur 99 percent of the time.
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Essentials of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
- What is the stand-alone risk? Use the scenario data to calculate the standard deviation of the bonds return for the next year.arrow_forwardThe rate of return that you would earn if you bought a bond and held It to its maturity date is called the bond's yield to maturity (YTM). If Interest rates in the economy rise after a bond has been issued, what will happen to the bond's price and to Its YTM? Does the length of time to maturity affect the extent to which a given change in interest rates will affect the bond's price? Briefly explain with necessary numerical data.arrow_forward"Using the expectations theory of the term structure, it is better to invest in one-year bonds, reinvested over two years, than to invest in a two-year bond, if interest rates on one-year bonds are expected to be the same in both years." Is this statement true, false, or uncertain? O A. False: These investments are almost of the same profitability. OB. True: The expected return on one-year bonds, reinvested over two years, is always higher at amount it - it + 1 - OC. Uncertain: The answer depends on whether we can ignore the (12t)² and it-it+1 values.arrow_forward
- Suppose we observe the following rates: 1R1 = 6.7, 1R2 = 7.4, and E(2r1) = 6.7. If the liquidity premium theory of the term structure of interest rates holds, what is the liquidity premium for year 2? Please step by step.arrow_forwardConsider the following information relating to the following three assets: Asset C, the 10 year government bond rate (which can be used as a proxy for the risk-free rate of return) and the ASX 200 index (which can be used as a proxy for the market portfolio). Asset C: Standard deviation of returns (p.a.) 0.35, Expected return (p.a.) ? 10-year gov't bond: Standard deviation of returns (p.a.) 0, Expected return (p.a.) 0.03 ASX200 Index: Standard deviation of returns (p.a.) 0.15, Expected return (p.a.) 0.10 Correlation between Asset C and the 10-year government bond: 0 Correlation between Asset C and the ASX200 Index: 0.65 Correlation between the ASX200 Index and the 10-year government bond: 0 (a) What is the beta of Asset C? (to 2 decimal places) (b) According to the CAPM what is the expected return of Asset C? (express as a percentage figure to 2 decimal places e.g. 50.04%) (c) According to the CAPM what is the beta and expected return of a portfolio consisting of a 50% investment in…arrow_forwardAfter recently receiving a bonus, you have decided to add some bonds to your investment portfolio. You have narrowed your choice down to the following bonds (assume semiannual payments): a. Using the PRICE function, calculate the intrinsic value of each bond. Is either bond currently undervalued? How much accrued interest would you have to pay for each bond? b. Using the YIELD function, calculate the yield to maturity of each bond using the current market prices. c. Calculate the duration and modified duration of each bond.d. Which bond would you rather own if you expect market rates to fall by 2% across the maturity spectrum? What if rates will rise by 2%? Why?arrow_forward
- Quantitative Problem: Today, interest rates on 1-year T-bonds yield 1.3%, interest rates on 2-year T-bonds yield 2.3%, and interest rates on 3-year T-bonds yield 3.7%. a. If the pure expectations theory is correct, what is the yield on 1-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. % 1.3 Show All Feedback b. If the pure expectations theory is correct, what is the yield on 2-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. 2.4 % Show All Feedback c. If the pure expectations theory is correct, what is the yield on 1-year T-bonds two years from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. 3.8 Show All Feedbackarrow_forwardConsider the following information for a period of years: Arithmetic Mean Long-term government bonds 7.0 % Long-term corporate bonds 7.1 Inflation 4.0 What is the real return on long-term government bonds? ____%arrow_forwardThe outstanding bonds of Winter Tires Inc. provide a real rate of return of 3.2 percent. If the current rate of inflation is 2.1 percent, what is the actual nominal rate of return on these bonds?arrow_forward
- Suppose that y is the yield on a perpetual government bond that pays interest at the rate of $1 per annum. Assume that y is expressed with simply com- pounding, that interest is paid annually on the bond, and that y follows the process dy = a(y0 −y)dt + oydWt, where a, y0, and o are positive constants and dWt is a Wiener process. (a) What is the process followed by the bond price? (b) What is the expected instantaneous return (including interest and capital gains) to the holder of the bond?arrow_forwardQuantitative Problem: Today, interest rates on 1-year T-bonds yield 1.7%, interest rates on 2-year T-bonds yield 2.5%, and interest rates on 3-year T-bonds yield 3.4%. a. If the pure expectations theory is correct, what is the yield on 1-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. b. If the pure expectations theory is correct, what is the yield on 2-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. c. If the pure expectations theory is correct, what is the yield on 1-year T-bonds two years from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places.arrow_forwardSuppose we observe the following rates: 1R1= 0.75%, 1R2=1.20%, E(2r1)=0.907%. If the liquidity premium theory of the term structure of interest rates holds, what is the liquidity premium for year 2, L2?arrow_forward
- Intermediate Financial Management (MindTap Course...FinanceISBN:9781337395083Author:Eugene F. Brigham, Phillip R. DavesPublisher:Cengage Learning