If BMWshares are now trading at 50 euros and expectations are that annual dividends into the infinite future are 3 euros what is the required rate of return R assuming that the efficient markets hypothesis (EMH) holds?
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If BMWshares are now trading at 50 euros and expectations are that annual dividends into the infinite future are 3 euros what is the required
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- This is part a) question and it's answer in order to answer part b) question Question: You hold a consol that pays a coupon C in perpetuity. The current interest rate is i, and the average expectation in the market is that this will remain unchanged. What will be the price of the consol today? answer : According to the question we need to calculate the current price of the perpetual consol. Perpetual consoles are priced differently because their expected income is spread through an indefinite period. So, perpetual consoles are priced using the current yield. The current yield is calculated as:- coupon amountMarket price×100coupon amountMarket price×100 After calculating the current yield price is calculated by the above formula where, i = Current interest rate y = yield so, the price of this consol will be Price = i/y I please need the solutions for part b) question b) In the next period however, the interest rate changes unexpectedly to i . What is the new price of the bond? If…Suppose 1-year T-bills currently yield 7.00% and the future inflation rate is expected to be constant at 2.00% per year. What is the real risk-free rate of return, r*? The cross-product term should be considered , i.e., if averaging is required, use the geometric average. (Round your final answer to 2 decimal places.)This question will compare two different arbitrage situations. Recall that arbitrage should equalize rates of return. We want to explore what this implies about equalizing prices. In the first situation, two assets, A and B, will each make a single guaranteed payment of $100 in 1 year. But asset A has a current price of $80 while asset B has a current price of $90.a. Which asset has the higher expected rate of return at current prices? Given their rates of return, which asset should investors be buying and which asset should they be selling?b. Assume that arbitrage continues until A and B have the same expected rate of return. When arbitrage ceases, will A and B have the same price?Next, consider another pair of assets, C and D. Asset C will make a single payment of $150 in one year while D will make a single payment of $200 in one year. Assume that the current price of C is $120 and that the current price of D is $180.c. Which asset has the higher expected rate of return at current…
- Assume that you are given the following historical returns for the Market and Security J. Also assume that the expected risk-free rate for the coming year is 4.0 percent, while the expected market risk premium is 15.0 percent. Given this information, determine the required rate of return for Security J for the coming year, using CAPM. Year 1 2 O21.20% 3 4 5 6 O22.34% O 23.49% O24.63% O24.10% Market 10.00% 12.00% 16.00% 14.00% 12.00% 10.00% Security J 12.00% 14.00% 18.00% 22.00% 18.00% 14.00%If you are promised a nominal return of 16%, on a one-year investment, and you expect the rate of inflation to be 2%, what real rate do you expect to earn? Use the Fisher equation, NOT the approximation.If the expected inflation rate is 3.45%, the realized real rate of return is 3.80%, and the actual inflation rate is 2.15%, what is the required real rate of return? а. 1.45% b. 2.50% С. 5.60% d. 2.35%
- An investor wants to be able to buy 4% more goods and services in the future in order to induce her to invest today. During the investment period prices are expected to rise by 2%. Which statement(s) below is/are true?I. 4% is the desired real rate of interestII. 6% is the approximate nominal rate of interest requiredIII. 2% is the expected inflation rate over the period A. III only B. I, II, and III are true C. I only D. II onlyIf we require a 10% real return and we expect inflation to be 7%. Calculate the nominal rate of interest using the fisher effect equation and it's approximation. What is the difference between the two? Respuesta:5. Suppose 1-year T-bills currently yield 7.00% and the future inflation rate is expected to be constant at 6.00% per year. What is the real risk-free rate of return, r*? Disregard any cross-product terms, i.e., if averaging is required, use the arithmetic average.
- You are researching interest rates and their forecasts. Your research provides you with the following: 1-year rate = 6% 2-year rate = 6.125% 3-year rate = 8.5% 1-year rate, 2 years from now = 6.5% Assuming you can borrow $1 million, can you use this interest rate information to earn some risk-free profit. if yes, compute the profit. Show detailed workings. Assume that the pure expectations theory applies.It is given that dP/dt = rP (r being the annually compounded interest rate and P is the amount in the account at any given time). Suppose that an account earns at an annual rate of r percent compounded continuously and a person is drawing an income of H dollars per year withdrawn continuously (impossible, but a modeling assumption). Use phase line analysis to analyze the behavior of the account. Discuss the meaning of any equilibrium points and their stability. If r = 10% (a reasonable rate for long-term stock investments), and H = $10,000, how long should an initial investment of $50,000 be left untouched so that when withdrawals begin the capital is not depleted?Suppose the real risk-free rate is 3.00%, the average expected future inflation rate is 6.60%, and a maturity risk premium of 0.10% per year to maturity applies, i.e., MRP = 0.10%(t), where t is the number of years to maturity. What rate of return would you expect on a 1-year Treasury security, assuming the pure expectations theory is NOT valid? Disregard cross-product terms, i.e., if averaging is required, use the arithmetic average.