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The discount rate is the interest rate the Federal Reserve charges commercial banks and other financial institutions for short-term loans. The discount rate applies to the Federal Reserve's lending facility, known as the discount window.
The discount rate is the interest rate the Federal Reserve charges commercial banks and other financial institutions for short-term loans. The discount rate applies to the Federal Reserve's lending facility, known as the discount window.
The discount rate can also refer to the interest rate used in discounted cash flow (DCF) analysis to determine the present value of future cash flows. In this case, investors and businesses can use the discount rate to evaluate potential investments.
Commercial banks in the United States have two primary ways to borrow money to meet their short-term operating needs. They can borrow and lend from other banks without requiring any collateral, using market-driven interbank rates, or they can borrow money from the Federal Reserve Bank to meet their short-term operating needs.
Federal Reserve Bank loans are processed through the Federal Reserve's 12 regional branches. Financial institutions use these loans to cover any cash shortfalls, avoid any liquidity issues or, in the worst case scenario, prevent bank failure. This lending facility provided by the Fed is called the discount window.
These loans have very short terms: 24 hours or less. The interest rate charged is the standard discount rate. The Board of Governors of the Federal Reserve sets this discount rate. [1]
The Fed's discount window program operates three levels of lending, with each level using a separate but related interest rate. It also allows emergency credit approval for troubled banks.
The Federal Reserve independently determines the discount rate for the first two levels. The interest rates at Level 3 are based on prevailing interest rates in the market.
IMPORTANT NOTE: All three types of Fed Discount Window loans are collateralized. Banks are required to maintain a certain level of guarantees or collateral to back loans. Emergency credit may require collateral, but it is based on circumstances and the Fed's vote.
Borrowing institutions rarely use this tool, mainly when they are unable to find a willing lender in the market. The discount rate offered by the Fed is relatively high compared to interbank borrowing rates to discourage too frequent use of the discount window.
The discount window is mainly used as an emergency option for troubled banks - borrowing from it may even send a signal of weakness to other market participants and investors.
Use of the Fed's discount window surged in late 2007 and 2008 as financial conditions deteriorated sharply and the central bank took steps to inject liquidity into the financial system.
In August 2007, the Board of Governors lowered the key discount rate from 6.25% to 5.75% and the premium over the federal funds rate from 1% to 0.5%. In October 2008, the month after Lehman Brothers collapsed, discount window borrowing peaked at 700 million from 1959 to 2006.
Due to the financial crisis, the Board of Governors extended the loan period from overnight to 30 days and then to 90 days in March 2008. [2] Once the economy recovered, these temporary measures were reversed and the discount rate reverted to overnight lending only.
The Fed maintains its own discount rate under the U.S. discount window program. Most central banks around the world use similar measures, although they vary by region. For example, the European Central Bank (ECB) provides a standing facility with the same purpose. Financial institutions can obtain overnight liquidity from the central bank in exchange for providing sufficient eligible assets as collateral. [3]
Note: Most commonly, the Fed's discount window loans are overnight loans only, but during times of extreme economic distress, such as during the 2008-2009 credit crisis, the loan term can be extended.
The same term "discount rate" is also used in discounted cash flow analysis. DCF is used to estimate the value of an investment based on its expected future cash flows. Based on the concept of the time value of money, DCF analysis helps evaluate the feasibility of a project or investment by using a discount rate to calculate the present value of expected future cash flows.
This analysis begins with estimating the investment required for the proposed project. Then, consider the future returns it is expected to generate. Using the discount rate, the current value of any future cash flows can be calculated. If the net present value (PV) is positive, the project is considered feasible. If it is negative, the project is not worth investing in.
In this context of DCF analysis, the discount rate refers to the interest rate used to determine present value. For example, 110. In other words, 100 today (present value).
If one knows (or can reasonably predict) all of these future cash flows (such as the future value of $110), then, using a specific discount rate, one can obtain the present value of such an investment.
For investment or business projects, what discount rate should be used? When investing in a standard asset such as a Treasury bill, it is common to use the risk-free rate of return (often thought of as the interest rate on a three-month Treasury bill) as the discount rate.
On the other hand, if a business is evaluating the feasibility of a potential project, it can use the weighted average cost of capital (WACC) as the discount rate. This is the average cost of capital a company pays to borrow money or sell equity.
In either case, if the investment or project is to be approved, the net present value of all cash flows should be positive.
There are different types of discount rates that apply to various investments in a business. The type required depends on the needs and requirements of the investor and the company itself. The following are the most common:
To calculate the discount rate, use the following formula:
Among them:
Here is an example showing how the discount rate works. Suppose you want to determine the discount rate for a specific investment using the following variables:
|future value|
<!-- @@@ -->3,500 |Number of years|10
Now, let's use the formula above to determine the discount rate. For fractional exponents, you can convert it to a decimal (1 ÷ 10):
DR = ( FV ÷ PV ) 1/n - 1 DR = (
<!-- @@@ -->3,500 ) 1/10 - 1 DR = $1.42857 0.1 - 1 DR = 1.03631 - 1 DR = 0.03631
Therefore, in this case, the discount rate is 3.631%.
The discount rate reduces future cash flows, so the higher the discount rate, the lower the present value of future cash flows. A lower discount rate results in a higher present value. As this implies, when the discount rate is high, money in the future will be worth less than it is today - meaning its purchasing power will be reduced.
There are three steps to calculating the DCF of an investment:
The discount rate used depends on the type of analysis performed. When considering an investment, investors should use the opportunity cost of using their funds elsewhere as an appropriate discount rate. This is the rate of return an investor can earn in the market from an investment of comparable size and risk.
Firms can choose the most appropriate among several discount rates. This could be a discount rate based on opportunity cost, its weighted average cost of capital, or the historical average rate of return on similar projects. In some cases, using the risk-free rate may be most appropriate.
The discount rate is the lending rate in the Fed's discount window, where a bank can obtain a loan if it cannot obtain funds from another bank in the market. Discount rates can also be calculated using discounted cash flow models to make business or investment decisions.
[1] Federal Reserve. "The Discount Window."
[2] Federal Reserve History. "Federal Reserve Credit Programs During the Meltdown."
[3] European Central Bank. "What Is the Marginal Lending Facility Rate?"
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现在, 让我们使用上面的公式来确定贴现率。对于分数指数, 您可以将其转换为小数（1 ÷ 10）：
DR = ( FV ÷ PV ) 1/n - 1 DR = ( 贴现率是美联储向商业银行和其他金融机构收取短期贷款的利率。贴现率适用于美联储的贷款工具，该工具被称为贴现窗口。
贴现率也可以指在折现现金流（DCF）分析中使用的利率，以确定未来现金流的现值。在这种情况下，投资者和企业可以使用贴现率来评估潜在的投资。
美国的商业银行有两种主要方式可以借钱来满足其短期运营需求。他们可以使用市场驱动的银行间利率，在不需要任何抵押品的情况下向其他银行借款和贷款，或者他们可以从联邦储备银行借钱来满足其短期运营需求。
联邦储备银行的贷款通过美联储的12个地区分行进行处理。金融机构利用这些贷款来弥补任何现金短缺，避免任何流动性问题，或者在最坏的情况下，防止银行倒闭。美联储提供的这种贷款工具被称为贴现窗口。
这些贷款的期限非常短：24小时或更短。收取的利率是标准贴现率。联邦储备委员会理事会设定此贴现率。[1]
美联储的贴现窗口计划运行三个级别的贷款，每个级别使用一个单独但相关的利率。它还允许为陷入困境的银行紧急批准信贷。
美联储独立确定前两个级别的贴现率。第三级的利率基于市场上的现行利率。
重要提示： 美联储贴现窗口贷款的所有三种类型都是有抵押的。银行需要维持一定水平的担保或抵押品来支持贷款。紧急信贷可能需要抵押品，但它基于具体情况和美联储的投票结果。
借款机构很少使用此工具，主要是在他们无法在市场上找到愿意的贷款人时。与银行间借款利率相比，美联储提供的贴现率相对较高，以阻止过于频繁地使用贴现窗口。
贴现窗口主要用作陷入困境的银行的紧急选择从中借款甚至可能向其他市场参与者和投资者发出疲软的信号。
随着金融状况急剧恶化，以及央行采取措施向金融系统注入流动性，美联储贴现窗口的使用在2007年末和2008年飙升。
2007年8月，理事会将主要贴现率从6.25%降至5.75%，将高于联邦基金利率的溢价从1%降至0.5%。2008年10月，雷曼兄弟倒闭后的那个月，贴现窗口借款达到4035亿美元的峰值，而1959年至2006年的月平均值为7亿美元。
由于金融危机，理事会将贷款期限从隔夜延长至30天，然后在2008年3月延长至90天。[2] 一旦经济复苏，这些临时措施就被撤销，贴现率恢复为仅隔夜贷款。
美联储在美国的贴现窗口计划下维持其自身的贴现率。全球大多数中央银行都使用类似的措施，尽管它们因地区而异。例如，欧洲中央银行（ECB）提供具有相同目的的常备便利。金融机构可以从中央银行获得隔夜流动性，以换取提供足够的合格资产作为抵押品。[3]
注意： 最常见的是，美联储的贴现窗口贷款仅为隔夜贷款，但在极端经济困境时期，例如2008-2009年信贷危机期间，贷款期限可以延长。
同一个术语“贴现率”也用于折现现金流分析中。DCF用于根据投资的预期未来现金流来估计投资的价值。基于货币时间价值的概念，DCF分析通过使用贴现率计算预期未来现金流的现值来帮助评估项目或投资的可行性。
这种分析首先要估计拟议项目所需的投资。然后，考虑它预计产生的未来回报。使用贴现率，可以计算出任何未来现金流的当前价值。如果净现值（PV）为正，则认为该项目可行。如果为负，则该项目不值得投资。
在DCF分析的这种背景下，贴现率是指用于确定现值的利率。例如，今天投资100美元于一个利率为10%的储蓄计划，将会增长到110美元。换句话说，110美元，即未来价值（FV），当以10%的利率折现时，相当于今天的100美元（现值）。
如果一个人知道（或可以合理预测）所有这些未来的现金流（如110美元的未来价值），那么，使用特定的贴现率，就可以获得这种投资的现值。
对于投资或商业项目，应该使用多少的贴现率？在投资标准资产（如国库券）时，通常使用无风险回报率（通常被认为是三个月期国库券的利率）作为贴现率。
另一方面，如果企业正在评估潜在项目的可行性，则可以使用加权平均资本成本（WACC）作为贴现率。这是公司为借款或出售股权而支付的平均资本成本。
无论哪种情况，如果投资或项目要获得批准，所有现金流的净现值都应为正。
有不同类型的贴现率适用于企业的各种投资。所需的类型取决于投资者和公司自身的需求和要求。以下是最常见的：
要计算贴现率，请使用以下公式：
其中：
这是一个示例，展示了贴现率的工作原理。假设您想使用以下变量确定特定投资的贴现率：
|未来价值|
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