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Consider a two period binomial model where in each round the stock increases or decreases by 10%. The current stock price is $20 and the risk free rate is 3.33% each period. We first consider a European call option with a strike $20
a) Calculate the value of the option based on replication. Specify what will be the replicating portfolio in each round.
b) Calculate the value of the option based on risk-neutral probabilities
c) In this part we are interested in an option on option. Specifically, consider a European call option on the original option that lets you buy it to buy the option at a price of $1 at t=1. What is the fair market value for this option?
Jan sold her house on December 31 and took a $10,000 mortgage as part of the payment. The 10-year mortgage has a 8% nominal interest rate, but it calls for semiannual payments beginning next June 30. How much repayment of principal was included? How ..
Ella Funt would like to set up her retirement account that will begin in 30 years. To play it safe, she wants to assume that she will live forever and she will withdraw $160,000 annually. Assuming her account will earn 10% interest during the next 30..
A company's common stock is currently selling for $54 per share. Last year, the company paid dividends of $2.98 per share. The projected growth at a rate of dividends for this stock is 4.93%. Which rate of return does the investor expect to receive o..
How do price/earnings ratio and the market/book ratio provide a feel for the firms riskiness as perceived by the investors who trade the firm’s stock?
Randy's tireland makes a product that sells for $69 per unit and has $53 per unit in variable costs. Annual fixed costs are $24,000. If Rambles sells 10 units less than breakeven, how much loss would the company recognize on its income statement?
Bond A pays $8,000 in 20 years. Bond B pays $8,000 in 40 years. (To keep things simple, assume these are zero-coupon bonds, which means the $8,000 is the only payment the bondholder receives.)
Grant, Inc. is a fast growing company and its dividend is expected to grow at a rate of 10 percent for the next two years. It will then settle to a constant growth rate of 5 percent. If the last dividend was $6.20 and the required rate of return is 1..
The Gilbert Instrument Corporation is considering replacing the wood steamer it currently uses to share guitar sides. The steamer has 6 years of remaining life. If kept, the steamer will have depreciation expenses of $650 for 5 years and #325 for the..
Messman Manufacturing will issue common stock to the public for $42.50. The expected dividend and growth in dividends are $2.12 per share and 5.80%, respectively. If the flotation cost is 8.95% of the issue's gross proceeds, what is the cost of exter..
The expected return for the general market is 13 percent and the risk premium is 7.9 percent. Tasaco, LBM, and Exxos have betas of 0.845, 0.602, and 0.591 respectively. what are the appropriate expected rates of return for the three securities?
May Industries has a bond outstanding that sells for $780. The bond has a coupon rate of 7.20 percent and 11 years until maturity. What is the yield to maturity of the bond?
Treasury bond yields are commonly used as the basis for yield curves because they are low risk and homogeneous in nature. The mutual fund, and not the investor, is responsible for all income taxes on capital gains and dividends earned by the fund. Li..
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