It is not uncommon for the owner of a home to receive a letter similar to the

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It is not uncommon for the owner of a home to receive a letter similar to the one shown below. Write a paper based on this letter. Different members of your group can work on different parts of the question, but you should submit one paper from your group.

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a. What is the letter about?

b. A computer printout (shown above) was included with the letter. Assuming that these calculations are correct, discuss the advantages or disadvantages of accepting this offer.

c. The plan as described in the letter costs \(\$ 375\) to sign up. I called the company and asked what their plan would do that I could not do myself by simply making 13 payments a year to my mortgage holder. The answer I received was that the plan would do nothing more, but the reason people do sign up is because they do not have the self-discipline to make the biweekly payments by themselves. Why is a biweekly payment equivalent to 13 annual payments instead of equivalent to a monthly payment?

d. The representative of the company told me that more than 250,000 people have signed up. How much income has the company received from this offer?

e. You calculated the income the company has received from this offer in part \(\mathbf{d}\), but that is not all it receives. It acts as a bonded and secure "holding company" for your funds (because the mortgage company does not accept "two-week" payments). This means that the company receives the use (interest value) of your money for two weeks out of every month. This is equivalent to half the year. Let's assume that the average monthly payment is \(\$ 1,000\) and that the company has 250,000 payments that it holds for half the year. If the interest rate is 5\% (a secure guaranteed rate), how much potential interest can be received by this company?

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