A stock is trading at 211.35 and will pay a dividend of 3.45 in two months. Two- and three- month zero-coupon bonds are trading at 0.9837 and 0.9753 per dollar of face, respectively. Three-month European puts struck on the stock at 216 are trading at 20.2. What's the price of a three-month ATM European call on the stock also struck at 216?
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- A Swiss stock has a monthly risk of 0.01 and the CHF/$ exchange rate has a monthly risk of 0.1. The correlation of these two risks is 0.22. What is the annual risk of a US investment into this stock to three decimal places in decimal terms (eg. 5.1% = .051)An NDP (non-dividend-paying) stock is trading at 100. A 1-year at-the-money European call on the stock is trading at 13 and the ly atm European put is trading at 10. Compute the ly forward price of the stock.Vijay
- 1) Assume that the risk-free rate is 7% per annum (continuous compounding) for all maturities. Compute the three-month forward prices of the following assets: i) A share that will distribute a $8 dividend in 2 months and a $12 dividend in six months. The current spot price of the share is $85. ii) The Swiss franc. The current spot price is 1.4 dollars for 1 Swiss franc and the foreign (i.e., the Swiss) risk-free rate is 6% per annum (continuous compounding).A 6-month European call option on a dividend-paying stock is cur- rently selling for $1.75. The stock price is $58.56, the strike price is $55, and a dividend of $1.20 is expected in 2 months and 5 months. The risk-free interest rate is 3% per annum for all maturities. (a) What opportunities are there for an arbitrageur? Detail your answer. (b) In this market a European put option with same strike price and maturity is also available for trading. Derive the no-arbitrage $3. price of the put option if the call option has a price of c = %3D (c) The European put option in the above section is trading at $3. What opportunities are there for an arbitrageur? Detail your answer.The Wall Street Journal reports that the rate on three-year Treasury securities as 1.20 percent and rate on five-year Treasury securities is 2.15 percent. According to the unbiased expectations theory, what does the market expect the two-year Treasury rate to be three years from today, E (3r2)?
- What is the lower bound for the price of a 7-month European call option on a dividend-paying stock when the stock price is $38.3, the strike price is $40, the risk-free interest rate is 1.1% per annum, and the stock is expected to pay a dividend of $2.56 in three months? Report your answer in dollars and cents.Consider a European call on a stock when there are ex-dividend dates in 5. four months and seven months. The dividend on each ex-dividend date is expected to be $2.50. The current stock price is $50, the exercise price is $51, the volatility is 20% per annum, the continuously compounded risk- free interest rate is 12% per annum, and the time to expiration is nine months. Calculate the price of the call.Answer the second question
- Consider the following two financial assets:(i) an ordinary share that is expected to pay a dividend of £2 next year with dividendgrowth expected to be 4% per annum thereafter;(ii) a corporate bond with an annual coupon rate of 7%, par (face) value of £1000,and maturity of 5 years. If the required return on similar UK equities is 10% and on similar UK bonds is 6%,calculate the value of the UK stock and the UK bond.Suppose that a stock is currently trading at £ 38, and that the current prices for European call and put options on this stock with maturity T 10 years and identical strike price K are equal to £30 and £35, respectively. Assuming that interest is compounded annually at rate 4%, determine the strike price to the nearest pence. Do not type in the pound sign. =Even though most corporate bonds in the United States make coupon payments semiannually, bonds issued elsewhere often have annual coupon payments. Suppose a German company issues a bond with a par value of €1,000, 15 years to maturity, and a coupon rate of 7.3 percent paid annually. If the yield to maturity is 8.4 percent, what is the current price of the bond? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Bond price