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let st btnbspbe as in the black-scholes model with st non-dividend paying an option p allows the holder to sell the
problem- a we want to transport water at a rate of q 5655 m3h from point 1 to 2 with the new commercial steel pipe
for the weak static replication of a discrete barrier option approximately how many price evaluations will be required
suppose we are a dollar investor the stock we wish to buy is priced in pounds how would we price a call option on the
you are an au bank an investor purchases a call option to buy a us share for 10 us how would you price and hedge this
consider a forward which gives the right and obligation to buy a stock at a fixed price k during a period t1 t2 thus is
the perpetual american call option is a call option that can be exercised at any time in the future and never expires
suppose we have american options a and b and b has half the notional of a but is otherwise identical consider a
suppose we have a forward contract with one year expiry with the additional property that either party can cancel the
a trigger fra is a fra that comes into existence if and only if the forward rate is above h at the start of the fra
1 for a piece of material the steady state flow of material across its thickness is 180 x 10-3 kgm2-hr if the
suppose we decide that all the trouble in the bgm model is caused by the non-tradability of the rates and therefore
every three months an inverse floater pays max 2l - k 0tau - l tau where l is the three-month libor rate for the
suppose a stock follows a process in the risk-neutral world which involves time-dependent parameters for the pricing of
suppose we wish to price an asian option by monte carlo using a jump-diffusion model with log-normal jumps if the
suppose a stock st follows a jump-diffusion process such that jumps can only occur in the time period from 0 to t1 an
show that if spot and volatility are uncorrelated then the risk-neutral density of spot can be written as an integral
a gilt and a corporate bond have the same principal and the same coupons and coupon dates how will their prices
each of the following products pays a function of the spot price s of a non-dividend-paying stock one year from now if
let p be a digital put struck at k1nbspand c be a digital call struck at k2 a digital put pays 1 if spot is below the
if interest rates increase how will the forward price of an asset change how will the value of a forward contract
suppose no-arbitrage bounds for an option price show that the price lies between l1 and l2 in a world without
show that if interest rates are zero and call option prices are a differentiable function of strike then the derivative
for each of the following pairs of prices of risky 1-year zero-coupon bond s with principal 1 and 1-year riskless
assume the interest rate is zero let s be the price of a non-dividend paying stock a derivative d pays fst at time t