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2
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2answers
55 views

Positive VaR when calculation on Total Return Indexes?

I recently saw a VaR calculation, and I was wondering whether that calculation made sense. Here the details: 1. Construction of a total return bond portfolio index. By total return I mean that the ...
0
votes
2answers
76 views

Factor immunization for bond portfolio

I'm trying to figure out some kind of immunization using a factor model I developed for interest rates. Here is the basic problem. Let's say that we have a bond portfolio containing $N$ bonds with ...
0
votes
1answer
18 views

convention in borrowing money in a multiperiod model

I have a question concerning the idea of consumption in multi period. The following is given $$C_1=W_0-xS_1+B$$ $$C_2=xS_2-BR$$ where $W_0$ is initial wealth $x$ is the weight on an asset with ...
4
votes
0answers
118 views

Integral-differential equation for forward rates

I am struggling in this question: Let $P(t,T)$ denote the price of a zero-coupon bond (with marturity at time $T$) at time $t \in [0,T]$. As usual, at time $t$ for maturity $T$, the forward rate is ...
3
votes
0answers
47 views

I want to Derive $P(t)=P(t,T_{n})+\sum_{i=1}^{n}[P(t,T_{i-1})-P(t,T_{i})]$

Derive the pricing formula $$P(t)=P(t,T_{n})+\sum_{i=1}^{n}[P(t,T_{i-1})-P(t,T_{i})]$$directly, by constructing a self-financing portfolio which replicates the cash flow of the floating rate bond. ...
3
votes
0answers
155 views

RQuantLib: any difference between FixedRateBond() and FixedRateBondPriceByYield() with flat term structure?

Please, consider the following functions from RQuantLib package: FixedRateBond() ...
2
votes
0answers
113 views

How to price zero coupon bonds with the Monte Carlo method?

Im trying to calculate monthly ZCB bond prices with a fixed maturity T, over a period of months via Monte Carlo methods. Here is my attempt: For the first month, the price is $P_{t_0}(0,T) = ...
2
votes
0answers
140 views

How to determine risk-free rate of Ecuador?

I have a question in determining the risk-free rate of Ecuador. For developed countries like United States and Great Britain, the risk-free rate can be obtained in financial database such as Reuter or ...
2
votes
0answers
156 views

What is the highest frequency greek for options on futures on bonds?

I'm considering exchange traded options of futures on bonds. Options on bond futures are usually American, thus the Black model is out of question. Which is the most imporatant Greek with respect to ...
1
vote
0answers
24 views

Please recommend a book regarding Monte Carlo simulation in OAS

I couldn't find a book that explains in details how to use Monte Carlo Simulation to generate a number of interest rate scenarios. And then based on the interest rate scenarios, how to calculate the ...
1
vote
0answers
76 views

Differential of stochastic term

Question 1: How does one come up with the equation in the red box below? It looks like some kind product rule, but I'm not sure how to apply Ito's lemma here. Bjork doesn't seem to explain it ...
1
vote
0answers
10 views

Annuity Duration Based on Closed Derivative is half of Effective Duration?

I am analyzing an annuity with a stub. I calculate the effective duration as (P(-10bps) - P(+10bps))/(2*Principal * (.001)) I then take the derivative of the standard annuity formula discounted by ...
1
vote
0answers
77 views

Provide a bond pricing differential equation and invoke Feynman-Kac

Grateful for any assistance. Consider the process: $dZ=r(t)Z\,dt$ , where $r(t)$ is stochastic and $Z=Z(r,t;T)$ is a zero coupon bond. Provide a bond pricing differential equation and invoke ...
1
vote
0answers
83 views

Bond pricing with HJM simulation

I'm using Glasserman 3.16 and 3.17 algorithm to price bonds. The algorithms evaluates the forward rates and the discount factor $B(0,t_j)$. My question is: How can I price bonds in a future time? I ...
0
votes
0answers
47 views

Bootstrap yield curve with QLNet / Quantlib

I am trying to grasp QLNet (C# version of Quantlib, all the functions of Quantlib have the same name and work the same way, so if you just know Quantlib, you can still help me), especially for pricing ...
0
votes
0answers
15 views

Amortizing Bond QuantLibXL

I would ask if anybody knows how to do get the NPV of an amortizing bond with QuantLibXL in the most automated way. I found some solutions but are very close to a manual calc, say, pass the vector of ...
0
votes
0answers
29 views

How to prove following order?

Consider a consol bond, i.e. a bond which will forever pay one unit of cash at $t = 1, 2, . . ..$ Suppose that the market yield $ y$ is constant for all maturities. (a) Compute the price, at $t = 0$, ...
0
votes
0answers
57 views

Duration calculation for perpetuity with continuous compounding

Let's say we have a continuously compounded perpetuity. Does macaulay duration = modified duration? I've read from wikipedia for Bond Duration that macaulay duration = modified duration for ...