A one-year long forward contract on a non-dividend-paying stock is entered into when the stock price is $40 and the risk-free rate of interest is 10% per annum with continuous compounding. a. What are the forward price and the initial value of the forward contract? b. Six months later, the price of the stock is $45 and the risk-free interest rate is still 10%. What are the forward price and the value of the forward contract?
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Ответ:
The correct solution is:
(a) $44.21
(b) $47.30
Explanation:
(a)
According to the question,
Stock price,
S = $40
Risk free rate,
r = 10%
= 0.10
Delivery rate,
t = 1
Mathematical constant,
e = 2.72
Now,
The forward price will be:
⇒![F= S\times e^{(r\times t)}](/tpl/images/1003/0861/8f9c5.png)
On substituting the estimated values, we get
⇒![=40\times 2.72^{(0.10\times 1)}](/tpl/images/1003/0861/d2ba9.png)
⇒
($)
(b)
6 months later,
The forward price will be:
⇒![F= S\times e^{(r\times t)}](/tpl/images/1003/0861/8f9c5.png)
⇒![=45\times 2.72^{(0.10\times 1)}](/tpl/images/1003/0861/4bd56.png)
⇒
($)
The initial value becomes assumed to be zero (0) since forward contracts constitute procurement deals which really determine the exchanging of a particular property though on a fixed period although at a price that has been accepted today.
Ответ:
Step 1: Set Realistic Goals. Goals for your money will help you make smart spending choices. ...
Step 2: Identify your Income and Expenses. ...
Step 3: Separate Needs and Wants. ...
Step 4: Design Your Budget. ...
Step 5: Put Your Plan into Action. ...
Step 6: Seasonal Expenses. ...
Step 7: Look Ahead
Step-by-step explanation: