Chapter 4: Problem 13
[Requires appendix] Could any combination of home price, mortgage, or further borrowing on a home result in a simple leverage ratio of \(1 / 2 ?\) If yes, provide an example. If no, briefly explain why.
Short Answer
Expert verified
Yes, by setting the total of the mortgage and any further borrowing to half the value of the home, a simple leverage ratio of \(1 / 2\) can be achieved. For instance, if a home is worth $600,000, then a mortgage and further borrowing totaling to $300,000 will create this ratio.
Step by step solution
01
Identify the components of the ratio
The simple leverage ratio is calculated as Total Debt divided by Total Asset. In this scenario, Total Debt is the sum of the mortgage and any further borrowing, while Total Asset is represented by the home price.
02
Formulate the equation
Following the definition of leverage ratio, a mathematical equation can be formed: (Mortgage + Further Borrowing) / Home Price = \(1 / 2\).
03
Find mortgage and home price combination
Assuming a home price of $600,000, the mortgage and further borrowing should be half of it, i.e., $300,000 (which is \(1 / 2\) of the price), in order to achieve a simple leverage ratio of \(1 / 2\). This $300,000 can be a result of different combinations of mortgage and further borrowing. For example, it can be entirely mortgage, or a mix of mortgage and further borrowing.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Total Debt
In financial terms, total debt refers to the sum of all the money that an individual or entity owes to lenders. This includes various forms of debt such as loans, bonds, mortgages, and any other contractual obligations that require repayment. The concept of total debt is crucial in understanding one's financial health and leverage position. For example, when evaluating the leverage ratio of a homeowner, total debt would encompass not just the original mortgage on the house, but also any subsequent loans or lines of credit secured against the property.
In the context of the exercise, the total debt is the combination of the mortgage and any additional borrowing that the homeowner may have taken out. If the total debt amounts to half of the home's value, then the homeowner has a simple leverage ratio of 1 to 2, meaning for every dollar of asset value they have, there is fifty cents of debt.
In the context of the exercise, the total debt is the combination of the mortgage and any additional borrowing that the homeowner may have taken out. If the total debt amounts to half of the home's value, then the homeowner has a simple leverage ratio of 1 to 2, meaning for every dollar of asset value they have, there is fifty cents of debt.
Total Asset
The term total asset encapsulates everything of value that an individual or company owns. Assets can be tangible, like real estate and equipment, or intangible, such as patents and trademarks. In the context of a real estate transaction, the total asset usually refers specifically to the value of the property, namely the home price. It’s an essential aspect when calculating financial ratios.
For instance, if one is determining a leverage ratio for a property, the home's market value constitutes the total asset against which the total debt is compared. By understanding the total assets, students can better assess the financial stability and creditworthiness of an individual or business, as it represents the available collateral that can be utilized to secure further debt.
For instance, if one is determining a leverage ratio for a property, the home's market value constitutes the total asset against which the total debt is compared. By understanding the total assets, students can better assess the financial stability and creditworthiness of an individual or business, as it represents the available collateral that can be utilized to secure further debt.
Home Price
The home price is the amount for which a property can be purchased in a real estate market. It is a critical factor for both buyers and sellers, as it represents the monetary valuation of the property. Determining the right home price is influenced by several factors including location, size, condition, market trends, and comparable sales in the area.
In the exercise related to leverage ratio, the home price is considered the total asset value. It serves as the denominator in calculating the leverage ratio. For an ideal financial situation depicted in the exercise, if the home price is set at a certain amount, say $600,000, the homeowner's total debt should not exceed half of that price to maintain a leverage ratio of 1 to 2. This is a simplified scenario and real-world situations would involve more complex calculations considering changing property values and additional debt factors.
In the exercise related to leverage ratio, the home price is considered the total asset value. It serves as the denominator in calculating the leverage ratio. For an ideal financial situation depicted in the exercise, if the home price is set at a certain amount, say $600,000, the homeowner's total debt should not exceed half of that price to maintain a leverage ratio of 1 to 2. This is a simplified scenario and real-world situations would involve more complex calculations considering changing property values and additional debt factors.
Mortgage
A mortgage is a type of loan specifically designed for the purchase of real estate. When you take out a mortgage, the property itself typically serves as a collateral for the loan. Mortgages are pivotal for individuals and families seeking to buy homes, as they enable the purchase of a property by paying off the price over an extended period of time, generally with interest.
In connection to the leverage ratio problem, a mortgage contributes to the total debt of the individual. It is necessary to understand that while the mortgage allows for the purchase of an asset (the home), it also creates a liability that directly affects one's financial leverage. Thus, a wise approach to borrowing would involve ensuring that the mortgage – when combined with any other debts – does not lead to an overly high leverage ratio, which increases financial risk.
In connection to the leverage ratio problem, a mortgage contributes to the total debt of the individual. It is necessary to understand that while the mortgage allows for the purchase of an asset (the home), it also creates a liability that directly affects one's financial leverage. Thus, a wise approach to borrowing would involve ensuring that the mortgage – when combined with any other debts – does not lead to an overly high leverage ratio, which increases financial risk.
Borrowing
Borrowing is the act of receiving something with a promise to return it, usually with interest. In personal finance, this often refers to taking out loans or using credit. Borrowing enables individuals and businesses to have cash on hand for purchases, investments, or to meet financial obligations when they don't have immediate funds available.
When discussing homeownership and leverage, borrowing can extend beyond the initial mortgage. Homeowners may take out home equity loans or lines of credit, which are further financial obligations against the property's value. These additional debts must also be factored into the leverage ratio. The exercise under discussion highlights that further borrowing, together with the mortgage, must be managed to not exceed a certain portion of the home value to maintain a healthy financial leverage.
When discussing homeownership and leverage, borrowing can extend beyond the initial mortgage. Homeowners may take out home equity loans or lines of credit, which are further financial obligations against the property's value. These additional debts must also be factored into the leverage ratio. The exercise under discussion highlights that further borrowing, together with the mortgage, must be managed to not exceed a certain portion of the home value to maintain a healthy financial leverage.