Start Discovering Solved Questions and Your Course Assignments
TextBooks Included
Active Tutors
Asked Questions
Answered Questions
considernbspwhere xt is an exponential wiener processa calculate the expected value of the increment dztb is zt a
this exercise deals with obtaining martingales suppose xt is a geometric process with drift mu and diffusion parameter
the exercises in this section prepare the reader for the next three chapters instead of dealing with the pdes an
a function fx z y t of four variables x z y t that satisfy the following pde is called the heat equationwhere a is a
you are given a function fx z y of three variables x z y the following pde is called laplaces equationaccording to this
consider the linear sde that represents the dynamics of a security pricedst 01 stdt 05 stdwtwith s0 1 givensuppose a
consider the geometric sdedst mustdt sigmastdwtwhere st is assumed to represent an equity index the current value of
let h be a wiener process consider the geometric process s againa calculate dstb what is the expected rate of change of
we consider the random process st which plays a fundamental role in biack-scholes analysesst s0emu1sigmawtwhere wt is
you are given the representationwhere the equality holds given the sequence of information sets it the underlying
let wf be a wiener process and t denote the time are the following stochastic
let y be a random variable withnbspey lt infina show that the mt defined bymt eyitis a martingaleb does this mean that
a random variable z ahs poisson distribution ifnbsppk pz lt k lambdake-k kfor k 0 1 2 nbspa use the expansionto
we say that z is exponentially distributed with parameter a gt 0 in the distribution function of z is given bypz lt z
you are given the price of a nondividend paying stock st and a european call option ct in a world where there are only
an at-the money call written on a stock with current price st 100 trades at 3 the corresponding at-the -money put
victoria bond is a premium bond with 8 coupon houston bond is a 4 coupon bond currently selling at a discount both
let the arbitrage-free 3-month futures prices for wheat be denoted by ft suppose it costs c to store 1 ton of wheat for
consider a fixed-payer plain vanilla interest rate swap paid in arrears with the following characteristics1 the start
consider the following investmentsan investor short sells a stock at a price s and writes an al-the-money call option
suppose you are a director of an energy company that has three divisions-natural gas oil and retail gas stations these
suppose you were a member of company xs board of directors and chairperson of the companys compensation committee what
edmund enterprises recently made a large investment to upgrade its technology while these improvements wont have much
investors generally can make one vote for each share of stock they hold tiaa-cref is the largest institutional
the president of southern semiconductor corporation ssc made this statement in the companys annual report sscs primary