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Bitcoin and other cryptocurrencies are demanded by those who wish to use them to complete transactions or those who wish to speculate on their future value. Bitcoins are supplied by thousands of competing miners who harness computing power to "dig" for Bitcoins by solving math problems. The more Bitcoins mined, the more difficult the math problems become. a. Use information in the chapter opener to explain why the supply curve of Bitcoins is likely to be upward-sloping. b. Increases in computing speed have, all else equal, made it easier for miners to mine Bitcoins. Draw a properly labeled graph showing how an increase in computing power affects the supply of Bitcoins. c. Suppose that the only change in the market for Bitcoins is the change described in (b). How would that change affect the equilibrium price and quantity of Bitcoins sold?

Step by step solution

01

Understand the Bitcoin Supply Curve

The supply curve is upward-sloping because as the price of Bitcoins increases, more miners find it profitable to invest in the computational power required to mine Bitcoins. This increase in potential reward prompts more people to mine, thus increasing the supply of Bitcoins.

02

Graphing the Effect of Increased Computing Power

To show how increased computing power affects the supply of Bitcoins, draw the initial supply curve (S1) and label the vertical axis as 'Price' and the horizontal axis as 'Quantity'. When computing speed increases, it lowers the cost of mining, shifting the supply curve to the right (from S1 to S2). This rightward shift indicates an increase in supply.

03

Analyzing the Effect on Equilibrium Price and Quantity

With the supply curve shifting to the right due to increased computing power, the new equilibrium will be at a lower price and a higher quantity compared to the original equilibrium. This happens because the supply increase makes Bitcoins more available, thus reducing the price and increasing the traded quantity.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Cryptocurrency Market Dynamics

Cryptocurrency markets, including Bitcoin, showcase unique dynamics. Unlike traditional markets, cryptocurrencies don't rely on tangible assets or government backing. They operate on decentralized networks powered by blockchain technology. The core participants in these markets are users and miners. Users wish to transact or speculate on cryptocurrencies' future value, while miners extract these digital coins using computational power. The interplay between supply and demand here is interesting. Demand stems from potential future profitability and the ability to execute anonymous transactions across borders. Meanwhile, supply is largely dictated by miners' capacity to solve complex algorithms, which requires significant computational resources. As these market dynamics evolve, so does the behavior of both suppliers and consumers.

Mining Difficulty

Bitcoin mining involves solving complex mathematical puzzles to verify transactions and add them to the blockchain. As more Bitcoins are created, the difficulty of these puzzles increases, requiring miners to utilize more computational power to achieve the same results. This increasing difficulty ensures the rate at which new Bitcoins are produced remains consistent, aligning with Bitcoin's pre-set schedule of supply. This process not only maintains controlled inflation but also enhances the security of the Bitcoin network by making it costlier and more resource-intensive to attempt malicious activities. Additionally, mining difficulty tends to fluctuate with the total hashing power of the network. When more miners join the network and contribute more hashing power, the difficulty adjusts upwards, balancing the rate of Bitcoin production.

Computational Power Impact

The impact of computational power on Bitcoin mining is significant. As technology advances, miners' ability to solve Bitcoin's mathematical puzzles becomes more efficient. Efficient computing reduces operational costs and increases the rate at which Bitcoins can be mined. This advancement in technology often leads to a decrease in the cost per Bitcoin mined, effectively reducing the barriers to entry for new miners. Additionally, with more computational power, the network's overall security is enhanced, making it more resilient against attacks. However, this increased efficiency also intensifies competition among miners, as each seeks to maximize their Bitcoin yield. As competition heightens, miners must balance their hardware investments against potential rewards.

Equilibrium Price and Quantity

The equilibrium price and quantity of Bitcoins are determined by the interaction between the supply and demand in the market. When computational power increases and reduces mining costs, the supply curve for Bitcoins shifts to the right, indicating an increase in supply. This shift results in a new equilibrium where the price is lower, and the quantity of Bitcoins traded is higher. Essentially, more Bitcoins become available at a lower price. This phenomenon is akin to traditional markets where increased supply generally leads to lower prices. However, the equilibrium can be influenced by other external factors, such as governmental regulations, technological advancements, or shifts in consumer preferences, which can all unexpectedly impact the price and availability of Bitcoin.