Determining an Arbitrage Opportunity

Next, look up the price of a share of Honda stock on the Tokyo Stock Exchange. Next, look up the exchange
rate of Yen/Dollar. Address the following questions:
At the current exchange rate, what is the no-arbitrage U.S. dollar price of one ADR?
When comparing the Honda ADR to the price of a share of Honda stock priced in Yen, does an arbitrage
opportunity exist?
If you were to develop a plan to make a trading profit,
Provide calculations where necessary to support your answer.

Sample Solution

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Bootstrapping in R

  1. Generate 100 samples of size 7 from a normal population with mean 129 and standard deviation of 66.8. For each sample, perform a bootstrap hypothesis test of 𝜇𝑥 = 129.0 using the test statistics 𝑥̅-129 and using as the estimated null distribution

a. The empirical distribution

b. The empirical distribution translated to have mean 129.0

Compute the average ASL for each test, averaged over 100 simulations.

  1. According to the U.S. National Transportation Safety Board, the number of airline accidents by year from 1983 to 2006 were 23, 16, 21, 24, 34, 30, 28, 24, 26, 18, 23, 23, 36, 37, 49, 50, 51, 56, 46, 41, 54, 30, 40, and 31.

a. Find a 95% confidence interval on the mean using the standard Student ’ s t – distribution.

b. Find a 95% confidence interval on the mean using Efron ’ s percentile method.

c. Find a 95% confidence interval on the mean using the BCa method.

d. Find a 95% confidence interval on the mean using the percentile – t method

e. How do the intervals compare? Which intervals do you trust? What does this tell you about the benefits of parametric methods on small ( n < 30) samples and the problems of using bootstrap on such samples? What does it tell you about the percentile – t method compared with the other bootstrap methods, at least when a formula for the standard error is known?

  1. Dataset catsM contains a set of data on the heart weights and body weights of 97 male cats. We investigate the dependence of heart weight (g) on body weight (kg). The data set is available in the boot package.

Sample Solution

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Market Penetration and Market Skimming

The following is an excerpt from a manager’s meeting for firm that produces entertainment/game consoles (like PlayStation, Xbox, Wii). They are trying to decide whether to use a price penetration or price skimming strategy in the upcoming launch of their game console. Can you help them decide?

Ken: Thanks for coming everyone. This is our price setting meeting for the launch of the new K-J Game Box next year. By way of background, on average our competitors have a unit cost of around $50. When they first launched, they sold the units to retailers at around $350, hence a $300 margin. The retailers then sold the product to their customers at around $700. And, as we know, those same competitive products are now sold into retailers at just $100, and resold to consumers for $200. Personally, I support adopting a similar pricing strategy – a market skimming approach at first, and then progressively lowering the price. What does everyone else think?

Jessica: Well that approach makes sense for some of our competitors. They have strong brands and they heavily invested in pre-launch promotion, thereby creating a pool of ‘innovators’ who are virtually willing to buy the product at any price. I’m not sure whether our product would have the same attraction – given our brand isn’t as strong and our limited pre-launch promotion to date.

Kurt: But do we really need the brand equity? This product has a number of technological advantages over our competitors. Once we get the product out there, we should be able to generate some publicity, which will automatically attract the ‘innovators’. To these consumers, price is not an issue. They just want the latest and the best technology. So I too favor a setting a skimming price.

Jane: I know that our competitors have typically gone down the price skimming track. But I think that there could be a greater opportunity for us by adopting a price penetration strategy. Look, we make profits in two ways – one from the sale of game consoles and two from the royalty fee for each game sold that operates on our system. And we know that while consumers will only buy one game console, they will buy many games, which can add up to a significant and ongoing income stream for us. Therefore, my plan would be to minimize the price of the game console. This means that we will get many more consoles out there (as compared to market skimming). And more consoles, means more games will be sold, which means more ongoing revenue.

Kevin: I’d agree that your plan would probably lead to much greater income streams in the long-term. But we’ve just invested tens of millions of dollars in developing this technology and you are talking about foregoing our profit margin on the game consoles. That’s profit that we get in the short-term, which we can put back into developing our next opportunity.

Julie: That’s a good point, which is why I would be nervous about relying upon any longer-term profits. We will probably introduce the K-J Game Box 2 in a few years time, and the profits from the game sales from version one will quickly disappear.

Keith: That assumes that we keep updating the technology. I would imagine that constant upgrading would be a nuisance for many consumers. We could position our product as ‘stable technology’ – I’m sure that there would be a considerable market segment of families that would be very interested in that possibility.

Jenny: I really wouldn’t think so. Most people want the latest and the greatest technology. Nobody wants to play computer games from ten years ago.

Kim: Actually, I think that Keith makes a good point. Sure a lot of people do want the most up-to-date technology. But Keith’s talking about a particular market segment, and as far as I know, none of our competitors have aggressively pursued them. Therefore, this appears to be a major gap in the market and an opportunity for the K-J Game Box to be clearly differentiated as a late entrant in a cluttered and competitive market.

Ken: OK, thanks, we’ve now heard everyone’s views and we have two distinct pricing, and indeed overall, strategies to consider.

QUESTIONS

What are the arguments for a price skimming approach, as outlined in the case?
Arguments:

Sample Solution

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The Global Revolution in

Provide a detailed description of the impact of the information revolution on the
following: global business opportunities, global criminal activity, and global order maintenance and law
enforcement.

Sample Solution

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