Finance 319 Lecture 03.26.01 Course Website http://www.citi.umich/u/galka/319 Galina Albert Schwartz Department of Finance University of Michigan Business School 03.26.2001 Lecture NotesFinance 319 1 Lecture Summary Levich, Chapter 12: continued Option Prices Efficiency and LTCM crisis: Insider and Outsider Opinions: – Are they the same or differ? – Which is more informative? Could the Knowledge of History Help? Euro: – What do we know (a short summary) – Why is it still low? – Is there any way to predict the EURO’s future? 03.26.2001 Lecture NotesFinance 319 2 Today’s Citation: Your Wake Up Call! “It is often said that men are ruled by their imaginations; but it would be truer to say they are governed by the weakness of their imaginations,” Walter Bagehot (1826–77), English economist, critic. The English Constitution, ch. 2 (1867). Historical Curiosity: See URL: Lombard Street. A Description of the Money Market by Walter Bagehot Quiz: What is Bagehot rule? (Levich, p. 27) 03.26.2001 Lecture NotesFinance 319 3 Currency and Interest Rate Options: Strike price (or exercise price) [K] – the price given by the contract Call option - right to buy [C] Put option – tight to sell [P] Price paid for the option - option premium Let S be an underlying asset price at maturity date [expiration date] 03.26.2001 Lecture NotesFinance 319 4 Currency and Interest Rate Options: Characteristic feature is: Asymmetric payoff profile: limited gain (loss) and unlimited loss (gain) Levich, pp. 432 –435: At maturity: C = max[0, S - K] P = max[0, K - S] Option value is never negative. Option’s seller faces unlimited liability [since the asset could appreciate without limit] 03.26.2001 Lecture NotesFinance 319 5 Currency and Interest Rate Options: Levich, pp. 447, table 12.7 – a summary of marginal effects of parameter changes on Option prices – – – – – – Spot Price S Exercise Price K Domestic int. rate Foreign int. rare Spot rate volatility Time to maturity 03.26.2001 Call Put Call Put Call Put Call Put Call Put ambiguous effects Lecture NotesFinance 319 6 Currency and Interest Rate Options: How to Price? Option – – – – – Prices depend on (Levich, p. 465) Current asset price Strike price Interest rate(s) Time to maturity Volatility (assumed constant by Black-Scholes) Estimating Volatility: Levich, pp. 462 - 463 – historical approach – Implied approach 03.26.2001 Lecture NotesFinance 319 7 LTCM: was it all wrong? See Kho, Lee & Stulz, “US Banks, Crises and Bailouts: from Mexico to LTCM – The Banks lost it, not the taxpayers? See Miron Scholes, “Crisis and risk management”: – It was a volatility increase, not our fault 03.26.2001 Lecture NotesFinance 319 8 Currency and Interest Rate Options: Is the Pricing Efficient? Real Prices are higher than predicted by the B-S model. Why? – Model is wrong – Model’s assumptions do not hold exactly » Volatilities are not constant » Distributions are not normal (tails are sicker than normal) 03.26.2001 Lecture NotesFinance 319 9 Policy Matters - Public Policymakers As with any derivatives market, a generic question is whether the existence of the option market leads to negative spillover effects, such as an increase in the volatility of the underlying asset. A related public policy concern is the risk to which option traders are exposed and how the capital requirements for those risks should be measured. 03.26.2001 Lecture NotesFinance 319 10 Euro: PAST, current & future Levich, Ch. 2, pp. 70 -72 European Monetary Union – Past Verdict: » Too many conflicts of political / cultural interests » Too diverse economic interests, performance, traditions » Too little incentives for cross-subsidization Thus, more CONS than PROS: EMU will not be born, or it will dye fast 03.26.2001 Lecture NotesFinance 319 11 Euro: past, CURRENT & future European Monetary Union – Current Trends » Euro is too low (relative to fundamental level) » How to explain this? Past Verdict is correct? Market Participants are biased? Are they ALL wrong? 03.26.2001 Lecture NotesFinance 319 12 Euro: past, current & FUTURE European Monetary Union – Expectations for Future » Too early to judge, but Capital markets maturity improved dramatically Non-participating countries are still reluctant to join. It’s reflects both: history & common sense (but not always, example Danish referendum and the Central Bank Policy) » Is Current Trend self-contradictory? 03.26.2001 To some degree Explanations of current trend: – Market makers interests participants Lecture NotesFinance 319 13 Summary of Today’s Lecture Currency and interest rate options have asymmetric payoff profiles Efficiency: Option Markets are approximately efficient LTCM & Options Pricing efficiency Euro: past, current & future 03.26.2001 Lecture NotesFinance 319 14 Next Time Swaps: another asymmetric instrument U.S. Foreign Exchange Interventions Central Bank(s) Intervention(s) – Cases for intervention (example of EURO) » Implementation strategy » Success or failure? – Sterilization & Sterilized Intervention – Costs & benefits of intervention 03.26.2001 Lecture NotesFinance 319 15
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