Question

In: Finance

B) Assume that the risk-free interest rate is 9% per annum and that the dividend yield...

B) Assume that the risk-free interest rate is 9% per annum and that the dividend yield on a stock index varies throughout the year. In February, May, August, and November, dividends are paid at a rate of 5% per annum. In other months, dividends are paid at a rate of 2% per annum. On July 31(ex-dividend), the value of the index is 1,300. What should be the forward price for delivery on December 31(ex-dividend) of the same year? Annualized dividend should be converted to monthly: For example, in February, monthly dividend is 5% divided by 12 and in January, monthly dividend is 2% divided by 12.

Solutions

Expert Solution

Ex-dividend Value of a month = Previous Month Value * (1 + Net Interest rate Per Month)

Value of index on Dec 31 (Ex-Dividend) = $1331.72


Related Solutions

The ASX200 index is currently sitting at 6458. The risk-free interest rate is 2% per annum....
The ASX200 index is currently sitting at 6458. The risk-free interest rate is 2% per annum. Exactly three months remain before the Nov-19 SPI200 futures contract expires. The SPI200 is quoted at 6410. This futures price implies that the dividend yield on the ASX200 market index is?
Suppose that the stock price is $31, the risk-free interest rate is 9% per year, the...
Suppose that the stock price is $31, the risk-free interest rate is 9% per year, the price of a three-month European call option is $2.70, and the price of a 3-month European put option is $2.24. Both options have the strike price $29. Assume monthly compounding. Describe an arbitrage strategy and justify it with appropriate calculations. Please write your solution in complete sentences.
spot price: 66 strike price 68 risk-free interest rate is 6% per annum with continuous compounding,...
spot price: 66 strike price 68 risk-free interest rate is 6% per annum with continuous compounding, please undertake option valuations and answer related questions according to following instructions: Binomial trees: Additionally, assume that over each of the next two four-month periods, the share price is expected to go up by 11% or down by 10%. Use a two-step binomial tree to calculate the value of an eight-month European call option using risk-neutral valuation. Use a two-step binomial tree to calculate...
spot price: 66 strike price 68 risk-free interest rate is 6% per annum with continuous compounding,...
spot price: 66 strike price 68 risk-free interest rate is 6% per annum with continuous compounding, please undertake option valuations and answer related questions according to following instructions: Binomial trees: Additionally, assume that over each of the next two four-month periods, the share price is expected to go up by 11% or down by 10%. a. Use a two-step binomial tree to calculate the value of an eight-month European call option using the no-arbitrage approach. b. Use a two-step binomial...
Derivatives Suppose the stock price is $31, the risk-free interest rate is 9% per year, the...
Derivatives Suppose the stock price is $31, the risk-free interest rate is 9% per year, the price of a three-month European call option is $2.69, and the price of a 3-month European put option is $2.25. Both options have the strike price $29. Assume monthly compounding. Describe an arbitrage strategy and justify it with appropriate calculations. Please write your solution in complete sentences.
A stock index is currently 990, the risk-free rate is 5%, and the dividend yield on...
A stock index is currently 990, the risk-free rate is 5%, and the dividend yield on the index is 2%. (a) Use a three-step tree to value an 18-month American put option with a strike price of 1,000 when the volatility is 20% per annum. (b) How much does the option holder gain by being able to exercise early? When is the gain made? (c) What position in the stock is initially necessary to hedge the risk of the put...
Assume that the real risk free rate is constant at 1.5 %. The yield is 2.3%...
Assume that the real risk free rate is constant at 1.5 %. The yield is 2.3% on 1-year treasury, 3.0% on 2-year treasury, 3.5% on 3-year treasury, and 5.0% on 5-year treasury securities. What is the expected rate on three year treasury securities, 2 years from now? What is the expected rate on 3year treasury securities, 2 years from now? Show all the work with formula
Assume that the risk-free rate of interest is 6% and the expected rate of return on...
Assume that the risk-free rate of interest is 6% and the expected rate of return on the market is 16%. Consider the following questions. a. A share of stock sells for $50 today. It will pay a dividend of $6 per share at the end of the year. Its beta is 1.2. What do investors expect the stock to sell for at the end of the year? b. I am buying a firm with an expected perpetual cash flow of...
A investor invests 1,000 in risk-free British gilts, paying 9%per annum. At the time of making...
A investor invests 1,000 in risk-free British gilts, paying 9%per annum. At the time of making the investment the exchange rate was $2.5= £1.5At the end of the year the exchange rate is $1.85= £1. What return has the investor made? What is the broad point with it?
Assume that the risk-free rate is 3% and the required return on the market is 9%....
Assume that the risk-free rate is 3% and the required return on the market is 9%. What is the required rate of return on a stock with a beta of 2.2? Round your answer to two decimal places.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT