Question

In: Accounting

A 9-month short position of a forward contract on a stock is entered into today, when...

A 9-month short position of a forward contract on a stock is entered into today, when the stock price is $60. The stock has expected dividends of $1.0 in 2 months, $2.0 in 5 months, and $2.0 in 7 months respectively. The risk-free interest rate is 3.0% per annum with continuous compounding.

(a) What is the forward price today?
(b) What is the initial value of the forward contract today?

(c) 3 months later, the price of the stock decreases to $55 and the risk-free interest rate remains the same. What are the forward price and the value of the forward position then?


Question 3
A 9-month short position of a forward contract on a stock is entered into today, when the stock price is $60. The stock has expected dividends of $1.0 in 2 months, $2.0 in 5 months, and $2.0 in 7 months respectively. The risk-free interest rate is 3.0% per annum with continuous compounding.
(a) What is the forward price today?
(b) What is the initial value of the forward contract today?
(c) 3 months later, the price of the stock decreases to $55 and the risk-free interest rate remains the same. What are the forward price and the value of the forward position then?

(no more information.)

Solutions

Expert Solution

I hope my efforts will be fruitful to you...?


Related Solutions

A short forward contract with exactly 360 days to maturity on a stock is entered into...
A short forward contract with exactly 360 days to maturity on a stock is entered into when the stock price is $9.00 and the risk-free interest rate is 15.00% per annum with continuous compounding for all maturities.  The stock is certain to pay dividends per share of 20 cents in 60 days-time and 30 cents in 270 days-time. Assume one year is 365 days. Required: What are the forward price and the initial value of the forward contract? QUESTION 2 continued:...
Consider a 10-month forward contract on a stock when the stock is £50. Assume that the...
Consider a 10-month forward contract on a stock when the stock is £50. Assume that the risk-free rate of interest continuously compounded is 8% per annum for all maturities and that the dividends of £0.75 per share are expected after 3 months, 6 months and 9 months. What is the price of the 10-month forward contract? Considering the arguments of arbitrage opportunity explain in detail why the forward contract price must be exactly equal to the result of (a) above.
You have entered a short position in an oil futures contract. The contract size is 1,000...
You have entered a short position in an oil futures contract. The contract size is 1,000 barrels for each contract. The initial margin required is $20,000 per contract. The maintenance margin is $16,000. The contract is entered at market close on January 7 at a price of $100/barrel. Fill in the table below. If a margin call occurs, indicate in the margin call column the amount that has been added to the margin account as a result of the margin...
In October 2018, an investor entered a short position in forward on crude oil for delivery...
In October 2018, an investor entered a short position in forward on crude oil for delivery in October 2021. At that time, the spot price of crude oil was $70 per barrel and the risk-free rate of interest was 2% per annum. Currently, in October 2020, the spot price of crude oil is $40 per barrel and the risk-free rate of interest is 1% per annum. What is the value of the short position in the forward? A)30 B)32.78 C)33.59...
A short forward contract on an asset plus a long position in a European call option...
A short forward contract on an asset plus a long position in a European call option on the asset with a strike price equal to the forward price is equivalent to a)A short position in a call option b)A short position in a put option c)A long position in a put option d)None of the above
Use (European) options, how to replicate (the payoff of) a short position in a forward contract...
Use (European) options, how to replicate (the payoff of) a short position in a forward contract with delivery price K?
Today (t= 0) one party goes short a futures contract and another sells a forward contract...
Today (t= 0) one party goes short a futures contract and another sells a forward contract on the same commodity. The prices at t = 0, 1, 2, 3 where 3 = T = maturity are:    0F3 = 100      1F3 = 140      2F3 = 110      0F3 = 100    Assume that both contracts are held till maturity. Assume the commodity delivered at T = 3 is taken from previously held inventory. Assume that initial margin is met with T-Bills. Consider any appropriate daily marking-to-the-market...
An investor has just taken a short position in a one-year forward contract on a dividend...
An investor has just taken a short position in a one-year forward contract on a dividend paying stock. The stock is expected to pay a dividend of $2 per share in five months and in eleven months. The stock price is currently selling for $100 and the risk-free rate of interest is 8.50% per year with continuous compounding for all maturities. a.  What are the forward price and the initial value of the forward contract? The forward price is (sample answer:...
An investor has just taken a short position in a one-year forward contract on a dividend...
An investor has just taken a short position in a one-year forward contract on a dividend paying stock. The stock is expected to pay a dividend of $2 per share in five months and in eleven months. The stock price is currently selling for $100 and the risk-free rate of interest is 8.50% per year with continuous compounding for all maturities. a. What are the forward price and the initial value of the forward contract? The forward price is (sample...
Consider a 6-month forward contract on a stock whose current price is $40. The stock will...
Consider a 6-month forward contract on a stock whose current price is $40. The stock will not pay any dividend, and the risk-free interest rate is 4% per annum. The forward price of the stock is $43. Is there an arbitrage? If so, show the arbitrage strategy and resulting cash flows.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT