Use the information below to calculate today's European put price. [round to two decimal places] The stock's price S is $52. After three months, it either goes up and gets multiplied by the factor U = 1.2, or it goes down and gets multiplied by the factor D = 1/U. Options mature after T = 0.5 year and have a strike price of K = $51. The continuously compounded risk-free interest rate r is 2.8 percent per year

Use the information below to calculate today's European put price. [round to two decimal places] The stock's price S is $52. After three months, it either goes up and gets multiplied by the factor U = 1.2, or it goes down and gets multiplied by the factor D = 1/U. Options mature after T = 0.5 year and have a strike price of K = $51. The continuously compounded risk-free interest rate r is 2.8 percent per year

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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The spot price of a non-dividend paying stock is recorded as ₺100 at the close of the day. You estimate that this price is equally likely to go up by 11.1% or go down by 10% every two months and observe that the continuously compounded annual risk-free rate is 20% per year across all maturities. Use a multistep binomial tree together with the risk-neutral valuation approach to compute the theoretical price of a European put option written on this stock with a strike price of ₺80 and exactly six months until expiration
Calculate the required rate of return for Mudd Enterprises assuming that investors expect a 3.4% rate of inflation in the future. The real risk-free rate is 2.0%, and the market risk premium is 6.0%. Mudd has a beta of 1.5, and its realized rate of return has averaged 9.0% over the past 5 years. Round your answer to two decimal places.
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Suppose the 1-year spot rate is 0.8%, and that a 2-year 1.5% annual coupon, a 3-year 2% annual coupon bonds are trading at par ($100). Calibrate a 2-year binomial interest rate model, assuming that interest rate volatility ?σ is 10%. What is the lowest rate at t=2?
Suppose the stock price is currently $75. For the next six months there is 7.5% probability that the stock will appreciate 8% with 4% annualized drift. The risk-free rate is 1.53% per year with continuous compounding. The dividend yield is 1 p.a.%. Value the following option using binomial tress and 12-time steps. a.) What is the value of a six-month European put option with a strike price of $86. b.) What is the value of a six-month American put option with a strike price of $70. c.) What is the value of a six-month European call option with a strike price of $86. d.) What is the value of a six-month European put option with a strike price of $70. e.) Estimate how high the minimum strike price must be for it to be optimal to exercise the put option immediately.
Calculate the required rate of return for Mudd Enterprises assuming that investors expect a 3.4% rate of inflation in the future. The real risk - free rate is 2.0%, and the market risk premium is 8.0%. Mudd has a beta of 1.7, and its realized rate of return has averaged 15.0% over the past 5 years. Round your answer to two decimal places.
Derive the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with a 4.0% coupon if it is currently selling at par and the probability distribution of its yield to maturity a year from now is as shown in the table below. (Assume the entire 4.0% coupon is paid at the end of the year rather than every 6 months. Assume a par value of $100.) Note: Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places. Economy Boom Normal Growth Recession Probability 0.35 0.40 0.25 YTM 11.0% 9.0 % 7.0 % Price Capital Gain Coupon Interest HPR % % %
A stock price is currently 40 and has a volatility of 25% and a dividend yield of 2%. the risk-free rate is 7%. what is the value of a european six-month put option with a strike price of 42 using a two-step tree? a. $3.15 b. $3.39 c. $3.67 d. $3.86
This section asks you to calculate prices for various options. In all cases, consider a rate r = 7.97% per year. Estimate the volatility of returns using the estimator: 1 n-1 σ²≈ T-t i=0 Si+1 log. Sti 2 The term of each option will be T = 182/360 (half a year). Determine a reasonable strike K, which is at similar levels to the price series you have downloaded. An option is a derivative instrument that gives its holder the right to buy or sell an underlying asset at a pre-agreed price K at a future date T. If this right can only be exercised in time T, we say that the option is of the European type. If it can be exercised at T or at any time prior to T, then we say that the option is American. Likewise, if the option grants the right to buy, we say that the option is Call type, if it grants the right to sell then the option is Puttype. These types of options are the simplest and are known as European vanilla options. In this case, if T is the expiration date of the contract, and St is…
You observe that a non-dividend paying stock currently trades for ₺150 on Borsa Istanbul. The annual standard deviation of its returns is expected to be 41% per year over the next year and the continuously compounded risk-free rate of interest is flat at 18% per year over all investment horizons. Compute the theoretical price of a European call option with a strike price of ₺200 and five months remaining until expiration written on a single share of this stock using to the Black-Scholes option pricing model
12. Let the current spot rate be 1.21 Sf/$. Let the exercise price be 1.20 $/€. Let the volatility of the swiss franc be 0.26. The time to expiration is 3 months. The US rate is 2% and the swiss rate is 4%.18. What is the delta of the call?19. What is the value of the call?20. What is its time value?21. What is the value of the corresponding put?
The stock price of Heavy Metal (HM) changes only once a month: either it goes up by 24% or it falls by 20.7%. Its price now is $48. The interest rate is 1.2% per month. What is the value of a one-month call option with an exercise price of $48? What is the option delta? The payoffs of the call option can be replicated by buying shares of stock and borrowing. What amount should be invested in stock and what amount must be borrowed? What is the value of a two-month call option with an exercise price of $49? What is the option delta of the two-month call over the first one-month period?

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