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Questions tagged [asset-pricing]

The branch of Finance that studies and models how specific assets (such as options, bonds and stocks) are priced.

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Some basic Consumption CAPM questions

Say we are in a world described by the consumption CAPM. All investors in this world have quadratic utility. Also, assume that consumption is as follows: $$c_{t+1} = (1+m_t)c_t + s_t c_t e_t $$ where ...
elbarto's user avatar
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Policy rate and the mean of the stochastic discount factor: what is exogenous?

Let us fix the length of one period to be the tenor of the risk-free rate targeted by the central bank, e.g. 1 day. There exists a stochastic discount factor (SDF, a.k.a. pricing kernel). I am ...
Igor Pozdeev's user avatar
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Gaussian Affine Model and CAPM

When I assume an one-factor Gaussian term structure model such as the Vasicek model $dr_t = \kappa(\mu - r_t)dt + \sigma dW_t$ and specify a constant market price of risk of $dW$ to be $\lambda_t = \...
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Competitive Equilibrium in Securities Market: First Welfare Theorem

I'm working through Kerry Back's "Asset Pricing and Portfolio Choice Theory" book. Trying to work through the proof of the First Welfare Theorem in the context of securities markets on page 58. Back ...
Kai Sikorski's user avatar
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Does the near-zero value of Fannie and Freddie shares indicate the validity of the Discount Dividend Model?

The Discount Dividend Model posits that the value of equities is equal to the discounted value of future dividend payments of a firm; for a firm that doesn't pay a dividend, you presume that they are ...
coMPUTER sCIENCE sTUDENT's user avatar
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Habit formation ala Constantinides (1990)

Consider the following problem, from Constantinides (1990). \begin{align} V(W_0, x_0) \equiv \max_{c, \alpha} \mathrm{E}_0 \int_0^\infty e^{-\rho s}\gamma^{-1}[c(s) - x(s)]^\gamma \mathrm{d}s, \end{...
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Complete markets and convenience yields

I have been reading some papers on the safety/liquidity of US government debt and got a bit perplexed by the assumptions made in some of those papers. For example, this paper by Mehrotra and Sergeyev ...
Wittgenstein's Poker's user avatar
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CAPM Cost of Capital

In the CAPM model, the beta can be used to calculate the return required by the market for a security (cost of equity). This cost of equity can also be considered as a minimum return for possible ...
Max Rativ's user avatar
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Linearization around the steady state (Asset pricing application)

I am working through a linearization example from Colacito and Croce (2011). In the paper the following expression is derived: \begin{align} & (v^{i}_{c,t})^{\theta}=E_{t}[\delta e^{\Delta c^{i}_{...
David Lim's user avatar
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What is the economic meaning of multiple internal rates of return?

Recall that the internal rate of return (IRR) is the discount rate such that the net present value (NPV) of a project is 0. One interesting complexity of the internal rate of return (IRR) is that it ...
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Is there a widely accepted definition of "asset [price] inflation"?

A bit of googling found some conflicting ones... Capel and Houben (BIS) Asset inflation occurs when the prices of financial assets are rising even though they are already above their intrinsic or ...
the gods from engineering's user avatar
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What is the intuition behind projecting stochastic discount factor into the vector space spanned by the payoff vectors?

It makes sense to stochastic discount factor as a function of impatience and marginal utility of consumption, but what is the rationale to project it into the vector space spanned by the payoff ...
user1559897's user avatar
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Fundamental Theorem of Asset Pricing (Linear Algebra)

I saw this question in a textbook that I was recently reading and don't really know how to aprpoach this problem. Let $H$ be a finite dimensional vector space with inner product ($\cdotp$, $\cdotp$)....
Arthur L's user avatar
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Capital asset pricing model (CAPM) applied to countries

I'm struggling on trying to find a beta for an equially wighted profolio for three countries (A, B,C). All the data I'm given are montlhy retunrs of each countrys ...
Adrian Salgado's user avatar
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Calculating the optimal portfolio for an investor with quadratic utility

The problem is from Asset Pricing and Portfolio Theory by Back and can be found here. The relevant info from section 2.5 can be found here. Given that we have the Expected value and the variance of ...
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ICAPM when assets' mean returns and variance-covariance matrix are not constant over time

The intertemporal capital asset pricing model (ICAPM), under the usual assumptions, produces a multifactor pricing model like the one described in this question. When and how would it be possible to ...
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Difference in difference on election impact on asset prices?

I am looking to research the impact of Brexit on the FTSE100 index. FTSE100 is an stock index of the 100 largest UK companies. The UK also has FTSE250 which is an index of 250 mid-cap companies (not ...
s5s's user avatar
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Testing asset pricing models with Roll's critique in mind

Roll's critique (Roll, 1977) can be summarized as follows (quoting Wikipedia): Mean-variance tautology: Any mean-variance efficient portfolio $R_{p}$ satisfies the CAPM equation exactly: $$ E(R_{i})-...
Richard Hardy's user avatar
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How should assets be valued when there is some private info & informative prices?

Valuation with noisy data and informative prices Suppose everyone in the market for a particular asset has access to some very noisy information from which they can calculate the value of that asset. ...
andrewH's user avatar
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Relation between capm and efficient market hypothesis

I am coming from a machine learning/time series forecasting background and are currently studying Asset Pricing. I have a good understanding of what Markowitz Mean-Variance Optimization (MVO) does, ...
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Understanding how to estimate the model of Fung and Hsieh (2001) for the hedge funds risk factors

There is an old paper about the risk of hedge fund strategies that it gathers its focus in the trend followers. This is the Fung and Hsieh (2001) paper. $\textbf{Definition of Trend Followers (TFs):}$ ...
Oliver Queen's user avatar
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68 views

Can the Equity Premium Puzzle apply equally to bonds?

Mehra and Prescott (JME, 1985) use the consumption-based asset price model to express the expected spread of equity returns over, e.g., a risk-free Treasury bond, as \begin{equation*} \mathbb{E}...
user41062's user avatar
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Black-Litterman Weights for Intersecting Asset Classes

I'm trying to implement Black-Litterman for an arbitrary selection of assets some of which might be subsets or intersect with others. For example, one portfolio might be US Equities (VTI) A global ...
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Simple worked-out example of computing future cashflows of other countries' assets?

I read through a research note from Bridgewater and a lot of the discussion centered on finding attractive cashflows of global stocks in USD terms. Here is a line for ease of reference: Across a ...
Arash Howaida's user avatar
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246 views

How is equilibrium reached in CAPM such that the tangency portfolio = market portfolio?

From my research online, when learning CAPM with $n$ risky assets and a risk free asset with return $r_f$, I always see the conclusion that in equilibrium, the market portfolio = tangency portfolio ...
user523384's user avatar
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Cashflow Risk vs Discount Risk

I'm studying financial economics/asset pricing and I often hear the terms cashflow risk and discount risk but I'm not sure what they mean? The Campbell/Shiller (1988) decomposition includes cashflows (...
Alex's user avatar
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Terminal and annual surplus distribution in participating life insurance

I consider a participating life insurance contract which is fair if $P_0 = e^{-rT} \mathbb{E}^{\mathbb{Q}}\left[ L(T) \right)$ ($\mathbb{Q}$ denotes the risk-neutral measure), where $P_0$ is the ...
Stephanie's user avatar
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58 views

Consumption based asset pricing book with Epstein-Zin(-Weil)

Any advice for a book covering consumption based asset pricing in general and in particular also covers non-standard asset pricing models / utility functions such as Epstein-Zin(-Weil)? Besides the ...
tstudio's user avatar
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Approximate factor model: Weakly correlated and eigenvalue

To my best knowledge, in Ross's APT, it is assumed that the pricing model is the exact factor model. Chamberlain (1983 ECTA) expanded it into the approximate factor model. In the exact factor ...
Roy_Oishi's user avatar
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Monthly savings plans

Monthly savings plans in stocks or funds are typical investments for many people. On aggregate, these plans generate a large demand on the underlying assets, often around the end/beginning of a month. ...
skoestlmeier's user avatar
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expected pay off of an American option

I find it hard to get an intuitive understanding of the expected pay off of an American option. I read in this thread expected payoff of an American put option but what I don't understand is why do ...
user13485's user avatar
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256 views

Dataset - Fama French Replication

I am trying to replicate the Fama-French three-factor model. I am having issues in the dataset. 1) Using the CRSP/COMPUSTAT merged dataset for firm fundamentals from WRDS, and then dropping data on ...
FinSJ's user avatar
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122 views

Metric for evaluating sales with dynamic pricing

Suppose you have a sausage maker. He buys batches of ground meat, then makes and sells sausages. Suppose each batch of ground meat makes N sausages, and each batch has specific level of quality that ...
Carl's user avatar
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How to dynamically update/calculate the price if we have the following values?

Need to update/calculate the price, the given values are: Reserve (Stock) (higher the price can be lower) Cost (the higher, the price can be higher) Sales Speed (the higher, the price can be higher) ...
Bahramdun Adil's user avatar
1 vote
0 answers
59 views

Consumer based asset pricing model, differentiation problem

Just a small question about the differentiation technique used in the consumer based asset pricing model. I need to maximize the following equation: $U(c_t) + E_t[\beta \cdot u(c_{t+1})]$ $$\begin{...
Jansen's user avatar
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Bonds with embedded options pricing via binomial model

Notation: t - time; G(t) - zero-coupon yield curve; $r$, $r_d$, $r_u$ - interest rates. The task is to find market price of a bond for today, while knowing the price of a number of other bonds. ...
Binosaur's user avatar
1 vote
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47 views

Risk factors and diversification in asset pricing models

Consider a factor model like Fama and French (1993). Total risk has two components, systematic risk and idiosyncratic risk. Idiosyncratic risk can be diversified while systematic risk cannot. ...
drenoir's user avatar
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1 answer
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Put Call Parity Question - Calculating Risk free rate ; has my professor left something out or is it possible?

You buy a share of stock, write a 1-year call on the stock with strike price of $90, and buy a 1-year put option with the same strike. The cost of this three-instrument portfolio is $86.53. The stock ...
Daragh McQuaid's user avatar
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Why does S&P 500 have a P/E Multiple of ca. 25 while other indexes (for ex. DAX) around 16?

I was thinking about a topic for my bachelor´s thesis and came across an interesting thing: P/E and other multiples of S&P500 were higher than those of other markets. Is there any research on this ...
Matsvei Voltau's user avatar
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1 answer
70 views

Why is the portfolio weight of the risk-free asset capped at 1?

I am reading Investment Science by David Luenberger, and in it he creates a portfolio with a risk-free asset and a risky asset. α is the weight of the risk-free asset, and he sets α ≤ 1. Why is that? ...
wwjwjwjwj's user avatar
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Does the payoff in a future option contract include the price of the future contract?

This website has this diagram which shows the payoff as $0$ for $S_T\leq X$ or $S_T\geq X$ (depending on the position-option combination). But isn't the buyer/seller of the position down/up the ...
mjc's user avatar
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Calculating the value of this asset

calculate the cash value of a financed asset that is paid in the following way: an initial payment of 500,000, in month 2 a payment equal to half its value, in month 7 a payment equal to a third of ...
VOZ ESTOICA's user avatar
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Is there a type financial instrument that can realistically increase its value 100 fold

Is there a type of financial instrument with extreme volatility, which could realistically grow in value by 10 000% over less than a year? If there isn't one that's commonly traded, could I craft one ...
Francis L.'s user avatar
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What are the theoretical approaches to ambiguity?

I'm trying to understand the different approaches that economists took to investigate ambiguity. Two approaches particularly caught my eyes: the model by Klibanoff, Marinacci and Mukerji (2009), and ...
Eddie's user avatar
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Stochastic discount factor derivation

What are the intermediate steps to arrive at equation (4) in Lettau and Wachter 2007? Here is the paper: https://drive.google.com/file/d/1Bc0oOqKGm0otYbywf5gdfwzpRpA-D11p/view I am confused why there ...
liss559's user avatar
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66 views

Options, Futures and other derivatives, book by Hull, confusion of currencies

I have a small technical problem with a book by Hull: on the page 7, the first line, in the 11th edition of his book Options, Futures and Other Derivatives (please see the snippet below) he writes &...
user2925716's user avatar
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Cryptocurrency perpetual futures shorting mechanism

I am trying to understand shorts in a perpetual futures market. Let's consider a market of ETH/USDC, trading at 1000 USDC. When user A shorts 1 perp (assuming no leverage) they pay 1000 USDC, the ...
ad112's user avatar
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Has anyone developed a good methodology for high-frequency inflation nowcasting?

Let's say I want to know what happened to the value of the U.S. dollar between three minutes and two minutes back from ... NOW. I have given myself a two minute slack period for data collection and ...
andrewH's user avatar
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How can successful small caps outperform large caps, when they become large caps?

For example, pretend that some S&P 600 corporation succeeds and profits, like some biotech discovers multiple cures to disease like cancer. Assume that its market capitalization then skyrockets ...
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How can I represent this observation regarding options in a formula?

By observing how an option's expiration P/L changes as its underlying asset price changes, we can discover the following system of equations: $\begin{cases}S_{Long} = C_{Long} + P_{Short} \\ S_{Short} ...
user29918's user avatar