an eight-year bond has a yield of 9% and a duration of 7.204 years. if the bond's yield increases by 50 basis points, what is the percentage change in the bond's price as predicted by the duration formula?

Answers

Answer 1

An eight-year bond has a yield of 9% and a duration of 7.204 years. The yield increase by 50 basis points (0.50%) will affect the bond's price. The percentage change in a bond's price will decrease by approximately 3.602%.

The duration formula, used to estimate the percentage change in a bond's price in response to a change in interest rates, is: Percentage Change in Price ≈ -Duration × Change in Yield

Applying the given values, we have:

Percentage Change in Price [tex]\approx -7.204 \times 0.0050[/tex]

Percentage Change in Price [tex]\approx -0.03602[/tex]

To express this as a percentage, multiply by 100:

Percentage Change in Price[tex]\approx -3.602\%[/tex]

As predicted by the duration formula, the bond's price will decrease by approximately 3.602% when the yield increases by 50 basis points. This shows that bond prices and yields are inversely related – when the yield goes up, the bond price goes down, and vice versa.

The duration of the bond helps us measure its sensitivity to changes in yield, providing a useful tool for estimating price changes due to interest rate fluctuations.

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Related Questions

_____ are items used to assist in producing other products and services.
Support products
Unsought products
Convenience products
Shopping products
Components

Answers

Components are items used to assist in producing other products and services. These are typically raw materials or parts that are combined with other components or materials to create a finished product.

Components can vary in complexity and size, ranging from small screws and bolts to large machinery parts or electronic circuits.
One of the key features of components is their role in the manufacturing process. They are essential for ensuring that products are produced efficiently and with a high level of quality. For example, a car manufacturer may require thousands of different components, including engines, transmissions, and wheels, to produce a single car.
In addition to their role in manufacturing, components can also have a significant impact on the performance and quality of the finished product. The choice of components can affect everything from the durability and reliability of a product to its overall functionality and aesthetics.
Overall, components are critical elements in the production of products and services. They play a vital role in ensuring that products are produced efficiently, with a high level of quality, and meet the needs of consumers.

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Demand Estimation Overview: I have collected real data on the sale of a microwavable cup of soup across 20 different cities for the same time period (a month). The variables in the dataset are: Quantity sold in the city for that month: Measured in thousands of units Price: measured in dollars Average Income in the city: Measured in thousands of dollars Ads: Average number of ads run in stores for that city during that month. Price of a substitute product: measured in dollars Population of the city: measured in thousands of people The dataset is on Canvas and, using Excel or any other statistical software, please answer the following questions: 1. Describe the patterns in quantity sold and own and rival prices during this time period using basic descriptive statistics. Graphs are welcome as well. 2. Take the logs of the variables, and estimate the demand function. a. Interpret the R-square. b. Interpret the coefficients for logP and logPsub c. Interpret the p-values associated with each independent variable 3. Are consumers price sensitive? Why or why not? (be as precise as you can - you have estimates!). Does this price sensitivity make sense given the good we are examining? 4. How sensitive are our consumers to changes in the rival good's price? Explain in detail. 5. Suppose we decide to charge a per ounce price of $2, while at the same time our rival charges a price of $2.15. All else equal, what would you expect sales to be? How confident are you in your forecast? Explain. 6. Suppose we are charging a price of $2 and our current marginal cost is $1.50 Are we maximizing profits at this price? If not, should we raise or lower price? Why?

Answers

To describe the patterns in quantity sold and own and rival prices, you can use basic descriptive statistics such as mean, median, and standard deviation. Graphs such as line charts or scatter plots can also be used to visualize the data.

The mean and median can provide an idea of the central tendency of the data, while the standard deviation can provide an idea of the variability. Scatter plots can show the relationship between the variables.

To estimate the demand function, you can use regression analysis with the log of quantity sold as the dependent variable and the log of own price, log of rival price, and other independent variables as predictors. The R-square represents the proportion of variance in the dependent variable that is explained by the independent variables. The coefficients for logP and logPsub represent the price elasticities of demand. The p-values associated with each independent variable indicate the statistical significance of the coefficients.

Consumers may be price sensitive or not depending on the price elasticity of demand. If the price elasticity of demand is greater than one, consumers are price sensitive, and a change in price will have a significant effect on quantity demanded. If the price elasticity of demand is less than one, consumers are less price sensitive.

The sensitivity of consumers to changes in the rival good's price can be determined by estimating the cross-price elasticity of demand. If the cross-price elasticity of demand is positive, it means that the rival good is a substitute, and a change in its price will affect the quantity demanded of the microwavable cup of soup.

If we charge a per ounce price of $2 while our rival charges a price of $2.15, the expected sales will depend on the price elasticity of demand and the cross-price elasticity of demand. If our product is relatively price inelastic, we may expect sales to be relatively stable. If the product is price elastic, we may expect a decrease in sales. The confidence in the forecast will depend on the accuracy of the demand function.

To determine if we are maximizing profits at a price of $2, we need to calculate the marginal revenue and compare it to the marginal cost. If the marginal revenue is greater than the marginal cost, we can increase the price to maximize profits. If the marginal cost is greater than the marginal revenue, we should decrease the price to maximize profits.

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Which one of the five competitive strategies discussed in Chapter 1 most closely approximates the competitive approach apple inc. is employing
a. focused low-cost provider
b. broad differentiation
c. focused differentiation
d. low-cost provider
e. best-cost provider

Answers

Based on Apple's strategy, the most appropriate competitive approach that Apple Inc. is employing is the "broad differentiation" strategy. Therefore the correct option is option B.

This has been the accomplished by the Apple's distinctive and original product design, user experience, brand recognition, and marketing activities.

According to Apple's strategy, the "broad differentiation" strategy is the most suited competitive approach.

Apple products are often more expensive than competitors' products, but the corporation has managed to cultivate a dedicated customer base prepared to pay a premium for the perceived quality and differentiation they provide. Therefore the correct option is option B.

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When quantity demand stays the same while income drops, what kind of product is it? a. Superior good b. Normal good c. Necessity d. Inferior good

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When quantity demand stays the same while income drops, the product is considered to be an inferior good. An inferior good is a type of product that experiences a decrease in demand as consumers' income increases. The correct answer is option d

This is due to the fact that as consumers' incomes rise, they are more likely to purchase higher-quality goods, which are often more expensive than inferior goods. For example, if a person's income drops and they can no longer afford to buy high-quality meat, they may switch to lower-quality meat. Although their income has dropped, their demand for meat has remained the same, leading to an increase in demand for inferior meat.


Inferior goods are often seen as products that are of lower quality or have bad demand curve features than higher-priced alternatives. They may also be viewed as products that are more basic or necessary for survival, such as generic brands of food or clothing.


It is important to note that while inferior goods may experience an increase in demand as income drops, they are not necessarily seen as lower quality or less desirable by all consumers. In some cases, consumers may choose to purchase inferior goods due to personal preference or other factors such as convenience or availability. The correct answer is option d

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marco's company buys fabric in bulk from manufacturers and then sells it by the bolt to fabric stores and small clothing designers. marco's company is a(n) .

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Marco's company, which buys fabric in bulk from manufacturers and sells it by the bolt to fabric stores and small clothing designers, is a Wholesale Distributor

A wholesaler is a business that purchases goods in large quantities from manufacturers or suppliers and then sells them in smaller quantities to retailers or other businesses.

In this case, Marco's company buys fabric in bulk and sells it by the bolt to fabric stores and small clothing designers.

As a wholesaler, Marco's company provides an important link between manufacturers and retailers, helping to distribute goods efficiently and cost-effectively.

Therefore, Marco's company can be classified as a wholesaler

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TRUE/FALSE. The demand curve comes from a consumer's making optimal choices subject to his / her constraints.

Answers

The statement "the demand curve comes from a consumer's making optimal choices subject to his/her constraints" is True, because It is derived from the concept of utility maximization.

What is Demand Curve?

The demand curve is a graphical representation of the relationship between the price of a good or service and the quantity demanded by consumers at different price levels. It is derived from the concept of utility maximization, which states that consumers aim to maximize their satisfaction or utility, given their preferences and budget constraints.

In order to create a demand curve, we consider the following steps:

1. Identify consumer preferences: Consumers have preferences for different goods and services based on their tastes, needs, and desires. These preferences are typically represented by utility functions.

2. Determine the consumer's budget constraint: The consumer has a limited amount of income to spend on goods and services, which creates a constraint on the choices they can make.

3. Utility maximization: The consumer seeks to maximize their total utility, given their preferences and budget constraint. This process involves finding the combination of goods and services that provides the highest level of satisfaction.

4. Determine the demand for a specific good or service: Based on the utility maximization process, we can identify how much of a particular good or service the consumer is willing to purchase at various price levels.

5. Plot the demand curve: By plotting the quantity demanded of a good or service against its price, we create a downward-sloping demand curve, which shows the relationship between price and quantity demanded.

In summary, the demand curve is a result of consumers making optimal choices to maximize their utility, while being subject to their budget constraints.

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Human resource planning is one of the most important elements in a successful human resource management program.TrueFalse

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True. Human resource planning is one of the most important elements in a successful human resource management program is correct.

The main task of HRM is workforce planning, as the focus is on the use of human resources. Because organizations do not own individuals in the same way that they own capital and other assets, individuals are rarely given the attention they deserve.

Many managers failed because they took talent for granted. One of the main tasks of management is personnel planning. This is very important as a company's talent gives them a competitive advantage. In the age of competitiveness, companies place more emphasis on employee training and skills.

Especially in business and industry, human resources play a central role in human activities. Because of its importance to organizational efficiency, most major commercial organizations have established separate HRP departments.

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Mercedes-Benz and other luxury goods producers can charge a premium for the ________ that consumers value. customer support differentiation luxury virtuous cycle

Answers

Mercedes-Benz and other manufacturers of luxury goods are allowed to charge more for the extravagance that customers value. Here option C is the correct answer.

Mercedes-Benz and other luxury goods producers can charge a premium for several reasons, one of which is the luxury that consumers value. Luxury can be defined as the state of great comfort and extravagant living, and luxury goods are products that provide an exceptional and exclusive experience to consumers.

Luxury goods producers like Mercedes-Benz invest heavily in creating products that are high-quality, aesthetically pleasing, and offer unique features and experiences that are not available in other products. This differentiation is another reason why luxury goods producers can charge a premium for their products.

Furthermore, luxury goods producers like Mercedes-Benz also offer excellent customer support services to their customers. This includes personalized services, such as tailored recommendations, concierge services, and after-sales support. The provision of such exceptional customer support services is another way luxury goods producers differentiate themselves from competitors and justify the premium price they charge.

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Complete question:

Mercedes-Benz and other luxury goods producers can charge a premium for the ________ that consumers value.

A - customer support

B - differentiation

C - luxury

D - virtuous cycle

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