a.
To compute: The five year spot and forward rates with annual compounding.
Introduction:
Yield-curve analysis is a technique to calculate the difference in interest rate between the note value and the term of to maturity. Yield curve analysis is the comparison of yields between issuers and it may vary by term to maturity.
b.
To explain: The concept of short rate, spot rate and forward rate and evaluate the relationship between them.
Introduction:
Yield-curve analysis is a technique to calculate the difference in interest rate between the note value and the term of to maturity. Yield curve analysis is the comparison of yields between issuers and it may vary by term to maturity.
c.
To compute: The expected yield to maturity and the price for the security.
Introduction:
Yield-curve analysis is a technique to calculate the difference in interest rate between the note value and the term of to maturity. Yield curve analysis is the comparison of yields between issuers and it may vary by term to maturity.
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Chapter 15 Solutions
EBK INVESTMENTS
- The expected return on a share of ExxonMobil stock in the U.S. is 15.6% while the expected return on a share of Royal Dutch Shell stock is 12.6% in the Netherlands. If the pure rate of return is 2% in both countries and the required risk premium is 6% for each company's stock, what is the long-term expected inflation rate in each country if the multiplicative form of the Fisher model is used in making the calculations?arrow_forwardSuppose that you have the following utility function: U=E(r) – ½ Aσ2 and A=3 Suppose that you have $10 million to invest for one year and you want to invest that money into ETFs tracking the S&P 500 (US) and S&P/TSX 60 (Canada) index, which are often used as proxies for the US and Canadian stock markets, respectively, and the Canadian one-year T-bill. Assume that the interest rate of the one-year T-bill is 0.35% per annum. You have found two ETFs that you are interested in. From a set of their historical data between 2001 and 2019, you have estimated the annual expected returns, standard deviations, and covariance as follows: ETFUS : E(r)= 0.070584 0.173687 ETFCDA : E(r)= 0.073763 0.16816 Covariance between ETFUS and ETFCDA = 0.02397 Answer the following questions using Excel: What is the optimal portfolio of ETFUS and ETFCDA? Also submit an Excel file to show your work.arrow_forwardSuppose that you have the following utility function: U=E(r) – ½ Aσ2 and A=3 Suppose that you have $10 million to invest for one year and you want to invest that money into ETFs tracking the S&P 500 (US) and S&P/TSX 60 (Canada) index, which are often used as proxies for the US and Canadian stock markets, respectively, and the Canadian one-year T-bill. Assume that the interest rate of the one-year T-bill is 0.35% per annum. You have found two ETFs that you are interested in. From a set of their historical data between 2001 and 2019, you have estimated the annual expected returns, standard deviations, and covariance as follows: ETFUS : E(r)= 0.070584 0.173687 ETFCDA : E(r)= 0.073763 0.16816 Covariance between ETFUS and ETFCDA = 0.02397 Answer the following questions using Excel: Determine your optimal asset allocation among ETFUS , ETFCDA , and T-bill, in percentage and in dollar amounts. Also submit an Excel file to show your…arrow_forward
- Suppose that you have the following utility function: U=E(r) – ½ Aσ2 and A=3 Suppose that you have $10 million to invest for one year and you want to invest that money into ETFs tracking the S&P 500 (US) and S&P/TSX 60 (Canada) index, which are often used as proxies for the US and Canadian stock markets, respectively, and the Canadian one-year T-bill. Assume that the interest rate of the one-year T-bill is 0.35% per annum. You have found two ETFs that you are interested in. From a set of their historical data between 2001 and 2019, you have estimated the annual expected returns, standard deviations, and covariance as follows: ETFUS : E(r)= 0.070584 0.173687 ETFCDA : E(r)= 0.073763 0.16816 Covariance between ETFUS and ETFCDA = 0.02397 Answer the following questions using Excel: Draw the opportunity set offered by these two securities (with increments of 0.01 in weight). Hint: In Excel, calculate the portfolio expected return and…arrow_forwardSuppose you live in the Fama-French three-factor model world. Goldman Sachs is selling two derivative securities to your company. Both will pay 100 million dollars over a 10 year period. Assume time value of money is zero. Security A will pay out cash that is positively correlated with economic indicators, thus paying out more when economy is booming and less when economy is tanking. Security B will pay out cash that is negatively correlated with economic indicators, thus paying out more when economy is tanking and less when economy is booming. What should be the fair valuation of these two securities at the start of this 10 year period. A<100 million; B>100 million A=B Both are smaller than 100 million and A<B Both securities should be priced lower than 100 millions. But A>Barrow_forwardDue to the integrated nature of their capital markets, investors in both the U.S. and U.K. require the same real interest rate, 2.1%, on their lending. There is a consensus in capital markets that the annual inflation rate is likely to be 1.7% in the U.S. and 2.5% in the U.K. for the next three years. The GBP/USD rate is currently 1.3053. What is your expected future spot for GBP/USD two years from now? (X.XXXX)arrow_forward
- A U.S. investor can borrow 1,000,000 or 500,000 GBP. The spot rate is $2.00/GBP, the one year forward rate is $2.02/GBP. The U.S. one year interest rate is 14% and the one year British interest rate is 12%. Determine if there is a covered interest rate arbitrage opportunity, and if so, clearly show each step involved in the arbitrage opportunity. Show the total dollar profit. If you determined that there is no arbitrage opportunity, describe why you made that decision.arrow_forwardThe market has an expected rate of return of 8.0 percent. The long-term government bond is expected to yield 4.8 percent and the U.S. Treasury bill is expected to yield 1.1 percent. The inflation rate is 3.2 percent. What is the market risk premium? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)arrow_forwardA financial institution has just bought 4-month European call options on the Chinese yuan.Suppose that the spot exchange rate is 14 cents per yuan, the exercise price is 15 cents per yuan,the risk-free interest rate in the United States is 1.5% per annum, the risk-free interest rate in Chinais 3.5% per annum, and the volatility of the yen is 16% per annum. Calculate the gamma of thefinancial institution’s position. Check the accuracy of your gamma estimate for a 0.1 cent increasein yuan.arrow_forward
- PIMCO gives the following example of an Inflation Linked Bond (ILB), called a Treasury Inflation Protected Security (TIPS) in the US. "How do ILBs work? An ILB’s explicit link to a nationally-recognized inflation measure means that any increase in price levels directly translates into higher principal values. As a hypothetical example, consider a $1,000 20-year U.S. TIPS with a 2.5% coupon (1.25% on semiannual basis), and an inflation rate of 4%. The principal on the TIPS note will adjust upward on a daily basis to account for the 4% inflation rate. At maturity, the principal value will be $2,208 (4% per year, compounded semiannually). Additionally, while the coupon rate remains fixed at 2.5%, the dollar value of each interest payment will rise, as the coupon will be paid on the inflation-adjusted principal value. The first semiannual coupon of 1.25% paid on the inflation-adjusted principal of $1,020 is $12.75, while the final semiannual interest payment will be 1.25% of $2,208, which…arrow_forwardThe market has an expected rate of return of 12.0 percent. The long-term government bond is expected to yield 4.8 percent and the U.S. Treasury bill is expected to yield 2.3 percent. The inflation rate is 3.2 percent. What is the market risk premium?arrow_forward
- EBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENT