
Answer-first summary for fast verification
Answer: $83.26 and $3.20
First compute the updated forward price for delivery at \(T=1.0\) using the spot price at \(t=0.25\): \[ F(0.25,1.0)=S_{0.25}e^{r(T-t)} =84\,e^{0.04\times 0.75} =84e^{0.03} \approx 86.56 \] The original fair delivery price established at inception was: \[ F(0,1.0)=80e^{0.04}=83.26 \] The value of the original long forward contract after 3 months is: \[ f_{0.25}=\big(F(0.25,1.0)-F(0,1.0)\big)e^{-r(T-t)} \] \[ = (86.56-83.26)e^{-0.03} \approx 3.20 \] So the correct pair is: - Updated forward price: **$86.56** - Value of original forward: **$3.20** **Correct answer: D**
Author: Manit Arora
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Question-165.3. Assume that today (T = 0) we enter into a fairly priced 1-year long forward contact on the stock of LinkedIn Corp (Ticker: LNKD) when the price of this non-dividend paying stock is $80.00 per share and the riskless rate is 4.0% per annum continuously compounded. Imagine that after three months (T = + 0.25) the price of LinkedIn’s stock increases to $84.00. After three months, what will be, respectively, the updated forward price F(0.25, 1.0) and the value (f) of the original forward contract?
A
$86.56 and $0.80
B
$86.56 and $3.20
C
$83.26 and $0.08
D
$83.26 and $3.20
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