please explain your answers

2 True/False 4 points per question. Total: 32 points. Please explain your reasoning just a sentence or two are fine, but you are also graded on the explanation. Note that there is no "uncertain option. 1. An investor traded in the options markets of stock S to construct a portfolio with the following payout at maturity. Because the losses from this strategy are capped, and the benefits are potentially unbounded the investor must have paid a positive price for this portfolio. Current stock price is so = 20. +Payout at T 20 10 0 20 30 40 50 r -10 -20 2. An investor bought a 30-year coupon-paying bond on January 1st, 2017. The bond pays a coupon C at the end of each calendar year. By January 1st, 2018 interest rates have increased at all maturities. The Holding Period Return of this investment from 1/1/2017 to 1/1/2018 must have been negative. 3. Suppose stock A has the same expected return as stock B, but a higher volatility. No rational investor with mean variance preferences will invest in stock A. 4. If the coupon rate is equal to the yield to maturity on a bond, then the price of the bond is always equal to the par value. Support your answer with an example. 5. Assume that two bonds, A and B, are similar in all respects but A has more convexity than B. If the yield is the same on both bonds, then you would prefer bond A. 6. The Fed issues a statement there will be large economic fluctuations in the coming months due to the difficulty in accurately estimating the impact of the coronavirus. You expect that option prices should increase as a result of this news. 7. There is a very volatile security which pays you a positive return when the market performs poorly and a negative return when the market performs well. The expected return on this asset is 2%, which is equal to the risk-free rate. It would never be optimal to include this asset in a rational mean-variance investor's portfolio. 8. A financial journalist discusses the stocks of two companies from the same industry and with the same beta. Discuss whether the journalist's statement below is correct: Everyone knows that company DOOG, inc. has much better managers than DAB, inc. Fur- ther, every investors knows that DOOG, inc. operates more efficiently, is more innovative, and more profitable than DAB, inc. Therefore, the stock of DOOG, inc will earn a higher return than DAB, inc