Let’s look at an old Roman age encryption scheme. Let’s say we intercepted a message from a

known Celtic hacker group. We know from experience that this group uses the characters from A to Z, then

a space, and then the numerals from 0 to 9 and employs a wrap around (moving left from A gives us 9).

The first leading pairs of letters tell us what the substitution code is using the code phrase “Trudy Jones”.

For example if the first two pairs are uy du the code is 24 and 32. This would mean that we move the first 2

letters 4 places to the right eg. A becomes E), and then the next 3 letters 2 places to the left (eg. A

becomes 8), then 4 places to the right for the next 2 characters and so on to encrypt the message.

a. What is the message hidden in: yj uo FQTM4UXYFY8? Remember that you’ll have to reverse the

algorithm (i.e. shift left first then right then left etc.) to decrypt the message.

b. The message is actually a nickname for a location. Give the location in upper case. What would be

the encrypted version of this location using the same encryption scheme as the original message?

 

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Let’s review how customer satisfaction rating and social media presence are related.

Visit http://www.jdpower.com/. Select one of your favorite companies and review the customer satisfaction surveys. What did you learn? How is customer satisfaction rated? Now visit the same company’s social media pages. Which mediums do they participate in? Do they make effort to stress customer satisfaction? What are their followers seeing and saying? Analyze their social media presence. What were you surprised to learn? Would you change any strategies? How effective is the social media presence?

Should be at least 75-150 words (could be more depending on topic)

 

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Let’s say a company pays a quarterly dividend. You just collected a $1 dividend today. Over the next five years, you expect the quarterly dividend to growth to the following amounts as of the end of each annual anniversary:

After 1 year, $1.1

After 2 years, $1.15

After 3 years , $1.25

After 4 years, $1.30

After 5 years, $1.45 

Assuming annual compounding, what is the compounded annual growth rate of the dividend?

 

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Let’s say that a clothing retailer currently oers a very strict return policy. Because

it has to pay an average of $10 to clean and restock any returned items, it only gives

back the price of the item minus $10 when you return it. A new CEO takes over and

decides to change the policy to oer 100% of the price back for returned goods. She

gured that only 1% of items were returned, so this should only add $.10 to the cost

of each item.

(a) Suppose that shoppers at the clothing store will either love or hate any given item

of clothing, but they aren’t sure at the time they see it in the store. Instead, they

have a probability of loving the item { 98%, 50%, 10%, etc. Then they decide

whether to buy the item or not; if they buy it, they learn whether they love it or

hate it; then they return the item if they hate it.

Explain why, in the logic of adverse selection, the extra cost of $.10 per item from

the policy change might be an underestimate: Why might more goods be returned

than before?

(b) Now suppose that shoppers don’t necessarily love or hate every piece, but some

of them might end up somewhere in the middle. Explain why, in the logic of

moral hazard, the more relaxed return policy might also lead to more returns

even among the shoppers who would have have bought an item of clothing under

the old strict return policy.

2

 

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