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Assume that a non-dividend-paying stock has an expected return of μ and a volatility of σ. An innovative financial institution has just announced that it will trade a security that pays off a dollar amount equal to ln ST at time T, where ST denotes the value of the stock price at time T.
(a) Use risk-neutral valuation to calculate the price of the security at time t in terms of the stock price, S, at time t.
(b) Confirm that your price satisfies the differential equation.
Multiple Choice: Bond K is selling at par with a 5% coupon. Bond L is selling for $1,030. Bond M is selling for $960 and has a YTM of 5.5%. Bonds K, L, and M are of similar quality and all mature in 6 years. Bonds K and L are noncallable, but Bond M ..
Suppose you know that a company’s stock currently sells for $57 per share and the required return on the stock is 11 percent. You also know that the total return on the stock is evenly divided between a capital gains yield and a dividend yield. If it..
Accounting statements can be manipulated. Please try to give an argument pro and con on this ethical issue. Any actual public examples you would like to cite would be most appreciated by all. Scenario: Enron utilized Special Purpose Entities (SPE) in..
In class the equation for the valuation of a put option was derived. This is the expected value of the present value of the (nonnegative) payoff obtained in exercising the option. This is the Black-Scholes-Merton equation. Mimicking that derivation, ..
Suppose an individual’s income for 2015 consisted of $42,000 in wages, $200 of qualified dividends, $500 in bank interest, and a $1,200 gain from the sale of stock purchased in 2010 and sold in 2015. Calculate this person’s federal tax liability if t..
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A bank plans to reduce its holdings of liquid assets but at the same time it does not with to increase its liquidity risk. What and how can the bank do to achieve its wishes? Please list and clearly explain a little bit.
Monica has decided that she wants to build enough retirement wealth that, if invested at 9 percent per year, will provide her with $3,600 of monthly income for 20 years. To date, she has saved nothing, but she still has 25 years until she retires. Ho..
The primary disadvantage of accrual accounting is that
You find a bond with 15 years until maturity that has a coupon rate of 8.0 percent and a yield to maturity of 7.1 percent. Suppose the yield to maturity on the bond increases by .25 percent. 1. What is the new price of the bond using duration? What i..
Anthony is considering the purchase of used car. The price, including the title and taxes, is $9,530. Anthony is able to make a $2,530 down payment. The balance, $7,000, will be borrowed from the Credit Union at an interest rate of 9.25% compounded d..
The standard deviation of stock returns for Stock A is 25%. The standard deviation of the market return is 15% and the correlation between Stock A and the market is 0.75. Calculate Stock A's beta. In a bull market with rapidly increasing stock prices..
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