Let a discrete dividend with the dividend yield dy be paid out on the underlying S at time ta. (i) Formulate the jump condition for the underlying price S at time ta and explain carefully the meaning of all parameters and variables you use in the jump condition. (ii) Consider the dividend yield dy = 0.2. The value of S immediately after the dividend payment is S = £10.00. What is the value of S immediately before the dividend payment?
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
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- A forward contract has an underlying asset which, in Cox-RossRubenstein notation, has S=22,u=1.2 and d=0.9. This forward contract matures in one time step and the return over this time step is R=1.02. Assuming the forward price is calculated rationally, what is the value of the forward at node (1,1)? (Give your answer as a positive number.)Consider the Black-Scholes equation for the option price V(S, t) if the underlying does not pay out dividends. (i) Show that V(S,t) = AS, where S is the underlying price, t is time, and A is a constant, is a solution to the Black-Scholes equation. (ii) For the solution V(S,t) = AS, define the value A (Delta) used for hedging.Find a portfolio with payoff at time T equal to if 0 ≤ S(T) ≤ 10, if 10 ≤S(T) ≤ 30, if 30 ≤S(T). VT = 2ST + 30, -3ST+80, ST-40, Here, ST denotes the price of the underlying asset at time T. You can hold cash, the asset, calls, and puts.
- This is part a) question and it's answer in order to answer part b) question Question: You hold a consol that pays a coupon C in perpetuity. The current interest rate is i, and the average expectation in the market is that this will remain unchanged. What will be the price of the consol today? answer : According to the question we need to calculate the current price of the perpetual consol. Perpetual consoles are priced differently because their expected income is spread through an indefinite period. So, perpetual consoles are priced using the current yield. The current yield is calculated as:- coupon amountMarket price×100coupon amountMarket price×100 After calculating the current yield price is calculated by the above formula where, i = Current interest rate y = yield so, the price of this consol will be Price = i/y I please need the solutions for part b) question b) In the next period however, the interest rate changes unexpectedly to i . What is the new price of the bond? If…If Po is the initial price of the security, P₁ is the price after you hold it for a year, and X represents a direct payment, an asset's rate of return is equal to: rate of return = (P₁ - Po) rate of return = (P₁ - Po) + X rate of return = (P₁-Po) / Po + XPo rate of return = (P₁ - Po)/Po + XCapital asset pricing model (CAPM) For the asset shown in the following table, use the capital asset pricing model to find the required return. (Click on the icon here O in order to copy the contents of the data table below into a spreadsheet.) ne Risk-free Market rate, R return, rm Beta, b nts 4% 0.7 1% The required return for the asset is %. (Round to two decimal places.) eТext edia Librai ial Calculat er Resource Enter your answer in the answer box and then click Check Answer. Check Answer mic Study ules Clear All All parts showing 10: DExercise(14); ools > This course (Introduction to Finance (FIN-101-D02) Distance Spring 2021) is hased on Zutter/Smart Princinles of Managerial Finance Rrief Re 4/13 O Type here to search insert
- Consider two assets with the following cash flow streams: Asset A generates $4 at t=1, $3 at t=2, and $10 at t=3. Asset B generates $2 at t=1, $X at t=2, and $10 at t=3. Suppose X=6 and the interest rate r is constant. For r=0.1, calculate the present value of the two assets. Determine the set of all interest rates {r} such that asset A is more valuable than asset Draw the present value of the assets as a function of the interest rate. Suppose r=0.2. Find the value X such that the present value of asset B is 12. Suppose the (one-period) interest rates are variable and given as follows: r01=0.1,r12=0.2, r23=0.3. Calculate the yield to maturity of asset A. (You can use Excel or ascientific calculator to find the solution numerically.)hi could you please help solve exercise 5.20?1. Write down the formulae for the return and expected return from time t = 0 and t = T on (a) a leveraged purchase, Klev, let w be the percent of the stock price purchased with own money, and r, the annual compounding interest rate you are able to borrow money. (b) a short position in stock, K.s, let c be the percent of the stock price reserved for collateral and re the annual compounding interest rate that the collateral attracts interest and r be the risk free interst rate you can invest in for non-collateral investments.
- What is the Delta of an at-the-money binary option with a payoff 0 at < $100, and payoff 1 at ≥ $100, as it approaches expiry?Differentiate among the expected rate of return (r⁄), the requiredrate of return (r), and the realized, after-the-fact return (r) on astock. Which must be larger to get you to buy the stock, r⁄or r?None