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Suppose Canadian home-owners owe an

average of $193,000 on their mortgages.
Assume that mortgage debt is normally
distributed in Canada with a standard deviation
of $95,000.

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Final answer:

The question involves the normal distribution of Canadian mortgage debt with a mean of $193,000 and a standard deviation of $95,000 in the context of Mathematics, focusing on the implications for personal finance and the importance of equity in homeownership.

Step-by-step explanation:

The student's question pertains to the normal distribution of mortgage debt among Canadian homeowners, with an average debt of $193,000 and a standard deviation of $95,000. Understanding the properties of a normal distribution is essential in many applications, including finance and economics. Mastery of these concepts can help in assessing risks and making informed decisions regarding mortgages and investments.

Context of Mortgages

A mortgage is essentially a loan from a bank or financial institution that enables an individual to purchase a house. Typically, a down payment is required, and the rest of the home's cost is financed through the mortgage. The borrower then makes monthly payments over a set period, which may include interest, until the loan is fully repaid.

Understanding Mortgage Debt

For example, a homeowner purchasing a $250,000 house with a 20% down payment would pay $50,000 upfront and take a mortgage of $200,000. Over time, the homeowner pays off the mortgage while also potentially dealing with fluctuations in interest rates, which can affect the monthly payments. If the value of the house decreases below the remaining balance on the mortgage, the homeowner may find themselves in a situation known as being 'underwater' on their mortgage.

Equity and Financial Stability

As homeowners pay down their mortgage, they build equity in their home, which is the difference between the home's market value and the remaining balance of the mortgage. This equity can represent a significant part of an individual's net worth and financial security. Stable or increasing home prices generally benefit homeowners by increasing the value of their equity.

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