0
votes
0answers
19 views

Why does the forward rate curve lies above the spot rate curve and the yield to maturity curve?

I saw a picture of 3 different yield curves, a spot rate curve, a forward curve, and a yield to maturity curve. The forward curve was at the top, the YTM curve at the bottom. I don't understand why.
1
vote
1answer
22 views

Compound interest calculator solving for time with deposits [closed]

I am attempting to solve a compound interest calculation for time given Principal = 100 Time(years) = t Rate(per year) = 8% Deposit(per month) = 5 Total = 300 I ...
4
votes
3answers
83 views

Interest Rate Convexity - Fundamental Question

I have a very basic question around convexity adjustments in swap valuations. I am comfortable with the mathematical derivation of the convexity adjustment. My question relates to when and why a ...
3
votes
2answers
41 views

Integration to calculate expected value of swap rate

In Hagan's paper on valuing CMS swaps (Convexity Conundrums: Pricing CMS Swaps, Caps, and Floors), there is: So the swap rate must also be a Martingale, and $$E \big[ R_s(\tau) \big| ...
1
vote
0answers
53 views

Optimize a trading strategy created in excel with R

I have created quite a complex back test in excel spanning 15 years with 17 parameters. I would like to optimize the parameters which would give me maximum return given a maximum draw-down percentage. ...
1
vote
1answer
72 views

Bloomberg Historical Fundamental Data - Point in time

I'm trying to retrieve historical stocks fundamental data from Bloomberg to backtest some quant ideas. I'm having trouble to find the correct point in time the data was available. For instance, the ...
0
votes
2answers
48 views

Can we derive 5 year zero coupon interest rate by using 1, 2 and 3 year zero coupon interest rate?

Given that the 1 year zero coupon bond interest rate is 5%, 2 year zero coupon bond interest rate is 6% and 3 year zero coupon bond interest rate is 7%. 4 year coupon bond price and interest rate are ...
0
votes
0answers
14 views

The equivalence of APV and WACC

How would you prove the equivalence of APV and WACC (for a firm with constant D/E ratio)?
0
votes
1answer
27 views

What are “df”, “t”, and “p” in these sharpe ratio related estimates?

I am looking at some sharpe ratio related estimates and have not seen Sharpe stats broken down this way before. I don't know what is meant by df, t, and p. Can someone explain that to me? Thank ...
0
votes
2answers
40 views

Portfolio Theory: Must VarCovar Matrix be based on return var/covar?

I am trying to estimate the minimum variance portfolio where the assets are currency derivatives. In the specific case it does not make sense to base correlations or variance on asset returns. I am ...
0
votes
2answers
91 views

The Difference between Notional and Par Value of a Bond

I have reached a confusing dilemma regarding the par and notional values of a bond. I have been told that the par value of a coupon bond is $100. However, the notional value of the bond is ...
1
vote
1answer
58 views

Liquidity Traders

I am thoroughly reading my first academic literature and I have found myself overwhelmed by terms that have been generalised in my studies. The extract is from "The Beauty Contest and Short-Term ...
1
vote
2answers
43 views

Perpetual American options

Formulate and solve the free boundary problem for the perpetual American options with the following payoffs. a.) $(S - K)_{+} + a$ where $a > 0$ b.) $(K - S)_{+} + a$ where $a > 0$ ...
1
vote
1answer
41 views

given someone's past investing history, is there a way to calculate his risk aversion?

given someone's past investing history, is there a way to calculate his risk aversion? Say, we know this client's investment history for example his past return, is there a way to calculate his risk ...
6
votes
5answers
442 views

Thoughts on how quantitative hedge funds use machine learning to invest in the stock market (algorithms, examples of data, etc.)

I believe there are several post on this general topic but I thought I would start my own thread. I'm a former fundamental hedge fund investor (i.e. modeling a company's financials, forecasting the ...
0
votes
0answers
28 views

Evaluation of Bayesian GARCH

I am using the bayesGARCH package to estimate Bayesian GARCH models and I was wondering how to evaluate them in terms of precision of forecast or at least the quality of the model. I have encountered ...
0
votes
0answers
23 views

FX Counterparty Risk Modeling

We are building PFE model for FX derivatives including but not limited to outright and barrier options. For counterparty risk purpose, we are assessing whether black karasinski would be good for fx ...
0
votes
0answers
21 views

Comparison of quality across different fundamentals data sources?

There are a variety of different mechanisms and rules used by each fundamentals data provider to standardize and report company fundamentals. For example, the transformation of reported statements to ...
1
vote
1answer
74 views

Calculation of Bond Carry from Synthetic future prices

I have only government bond yields with different maturities. How can I obtain sythetic future prices on bonds? After obtained the future prices, I am supposed to compute the return and carry returns. ...
0
votes
0answers
26 views

is mean and variance sufficient to determine the following question?

consider this question: I want to buy AAPL, and I could buy it from 3 brokers. I have their historical quote. Is there any statistic other than mean and variance I could use to determine if one broker ...
0
votes
2answers
32 views

Regime switching model getting data

I am trying to find a dataset (oil prices, S&P index, DAX returns etc.) in order to visualize the high volatility and low volatility periods in a plot. So far, I have not found a dataset that has ...
2
votes
2answers
55 views

Automate selection of BIC-minimizing ARIMA(1,0,X) model

I want to estimate an ARIMA(1,0,X) model. The MA(X) in the model is selected to minimize BIC. I have the following code employing the function auto.arima from ...
0
votes
0answers
15 views

Hedging non-deliverable forward

For a non-deliverable forward, the payoff at maturity is $N(1-\frac{F}{S_T})$, where $N$ is the notional, $F$ is the forward rate predetermined at $t=0$, $S_T$ is the spot exchange rate at maturity ...
1
vote
1answer
55 views

Derivative: Delta of a Down and Out Call Option with Barrier=Debt(K)

I am trying to compute the derivative of this function with respect to V0: This is the price of a down and out call option, assuming the barrier equal to the level of debt K. In other terms, I need ...
0
votes
0answers
15 views

Value at Risk Backtest type 2 error

I am wondering why in the most popular tests(Kupiec's POF, Christoffersen, the Null hypothesis is "our model is accurate". If we set our null hypothesis that way, we only have a decent result if we ...
1
vote
0answers
12 views

EMTA Guidelines

Does EMTA guidelines are only for Non-Deliverable trades? IF yes, then why this is applicable for Deliverable Option trades? EMTA Site - http://www.emta.org/ndftt.aspx
-1
votes
0answers
12 views

Calculation Agent Purpose in Vanilla Option Trades

What is the purpose of Calculation Agent in derivative trades? Why Calculation Agent is not required for Vanilla Option trades for deliverable currencies?
0
votes
0answers
15 views

Exercise probabilities in Black Scholes [duplicate]

In the Black Scholes Formula, why are the probability of an Asset or Nothing Call and Cash or Nothing Call being exercised different. The probabilities are N(d1) and N(d2) respectively.
3
votes
1answer
74 views

What is the covariance of two correlated Ornstein-Uhlenbeck processes?

What is the covariance of two correlated Ornstein-Uhlenbeck processes? I was trying correlation(1,2)*Var1^(1/2)*Var2^(1/2), but I am not sure! I took ...
2
votes
1answer
55 views

Online courses or C++ books combined with Finance (alternatives to Duffy and Joshi)

I am trying to find a book for our study group that teaches the bare minimum C++ needed for financial applications. I am trying to teach it in a project based manner. In case, I don't settle on one ...
1
vote
0answers
47 views

Replicating American call option

Consider a two-period binomial model for a risky asset with each period equal to a year and take $S_0 = 1$,$u = 1.2$, and $l=0.8$. The interest rate for both periods is $R = .05$ a.) If the ...
3
votes
1answer
66 views

Yahoo data meaning of “close” and “adjusted close”

When there's a 2-for-1 stock split, the number of shares doubles, while the value of the stock halves For symbol 2154 on the Tokyo Stock Exchange, there was such a 2-for-1 split on 2016/3/29. ...
1
vote
0answers
22 views

Event Study - Event Induced Volatility for One Firm

Normally, in a stock price event study, we assume that the daily variance in the estimation period is the same as that during the event window. The event-induced volatility literature (eg, Boehmer, ...
1
vote
0answers
15 views

Forward Exchange Rate Data: Germany x US

Would anyone know where I can find historical forward exchange rate data between germany and US, yen and US to download? In Bank of England website i already found. Thanks
4
votes
3answers
345 views

Default Probability Implied in Bond Prices?

Say I am trying to find the probability of default on JP Morgan implied by the price of their fixed income assets. Can this be done? Are there any pitfalls to this approach? I have heard of this ...
1
vote
0answers
17 views

First coupon CDO tranche

I am interested in Tranches on Credit Indexes. Let $T$ be the trade date, let $t_1<T<t_2$ be the accrual dates surrounding the trade date. I would like to know which option is correct ? A) ...
1
vote
0answers
28 views

Calculation of IRR [closed]

How do we calculate IRR if I have an investment that allows me to buy into 10% of a company @1m and the first year is a negative cash flow of 200,000 but the subsequent years till year 10 is a ...
1
vote
1answer
62 views

Generating random yields

I would like to test different methods for fitting a yield curve, like the Nelson-Siegel, cubic splines etc. I would like to generate random yield to maturity data, that somehow reflects the common ...
1
vote
1answer
63 views

What are the some good measures of risk for options?

I've seen a number of measures of risk in my reading: Sharpe, Sortino, Calmar, etc. In CAPM there is Beta, and I've seen papers discussing how to modify CAPM for asymmetry. There is Value at Risk and ...
1
vote
0answers
41 views

How are ETF fees deducted? What happens if you short an ETF?

When I buy an ETF, the ETF issuer wants a certain management fee (expense ratio). How is this usually paid? I've read that this might be deducted from dividends - is this the case? How does it work ...
0
votes
0answers
67 views

Applying Black-Scholes to valuing index options

I am currently attempting to use the Black-Scholes model to value index options. My issue is; what should I use as the price of the underlying? Say I want to value a call option on the German DAX with ...
1
vote
1answer
68 views

BSM Model - Actual probability

Actual probability of exercise of put option under BSM model is: PD = N(-d2(u)) (using expected return of stock, u) Risk-neutral equivalent is ...
1
vote
0answers
66 views

Two-period binomial model for American option

Consider a two-period binomial model for a risk asset with each period equal to a year and take $S_0 = 1$, $u = 1.5$, and $l = 0.6$. The interest rate for both periods is $R = .1$. a.) Price ...
1
vote
0answers
65 views

SDE for a portfolio of two correlated assets $ Y_{t} = 2 S^{1}_{t} S^{2}_{t}$

I am analysing a problem where I have two correlated stocks described by Brownian motions $$ \frac{dS^{1}_{t}}{S^{1}_{t}}=\mu_{1} dt + \sigma_{1} dW^{1}_{t} \quad \quad (1)$$ $$ ...
1
vote
0answers
40 views

On the construction of a Brownian motion from a Gaussian process

Let $X$ a Gaussian process defined by $$ X_t=\int_{0}^{t}\left(\frac{1}{\sigma}\left(r_s-\frac{\sigma^2}{2}\right)-\rho\sigma_P(s,T)\right)\mathrm{d}s+\sqrt{1-\rho^2}Z_2(t)+\rho Z_1(t);\;\;t\in[0,T] ...
4
votes
1answer
79 views

Predicting the Future FX Spot Rates

Say I need to predict what the spot rate between USD and CAD will be in 3 months. What will be the most accurate measure or model that I could possibly use? Does the 3 month forward rate necessarily ...
1
vote
1answer
69 views

How frequently do traders rebalance their gamma hedges?

Say, for instance, that you've set up a delta-neutral straddle (i.e. you are long volatility, short time decay) and want to dynamically hedge your gamma in order to offset losses due to theta. Is ...
1
vote
0answers
53 views

Modeling Interest-only Mortgages

First post on this forum - happy to be here. Please give feedback if this is off-topic so I can more meaningfully contribute moving forward. Can we infer a range of future all-in costs for I/O ARMs ...
3
votes
1answer
86 views

Why is the value of an adaptive stochastic process known at time t?

I am having a hard time to understand the concept of an adapted stochastic process. Using an analogy to finance, I have been told we can think of adaptiveness of a stock price process as having an ...
4
votes
1answer
80 views

Backesting VaR on overlapping intervals to year's end

Let us assume that each month of the year (up to November) we calculate a VaR (say 99%) with holding period to the end of the year. Thus the holding period starts with 12 months and goes down to 1 ...

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