Question

In: Finance

Arthur Doyle is a currency trader for Baker​ Street, a private investment house in London. Baker​...

Arthur Doyle is a currency trader for Baker​ Street, a private investment house in London. Baker​ Street's clients are a collection of wealthy private investors​ who, with a minimum stake of £220,000 ​each, wish to speculate on the movement of currencies. The investors expect annual returns in excess of 25​%. Although officed in​ London, all accounts and expectations are based in U.S. dollars. Arthur is convinced that the British pound will slide significantly—possibly to $1.3200/£—in the coming 30 to 60 days. The current spot rate is $ 1.4261/£. Arthur wishes to buy a put on pounds which will yield the 25​% return expected by his investors. Which of the following put options would you recommend he​ purchase? Prove your choice is the preferable combination of strike​ price, maturity, and​ up-front premium expense.

Strike Price

Maturity

Premium

$1.36/£

30 days

$0.00081/£

$1.34/£

30 days

$0.00021/£

$1.32/£

30 days

$0.00004/£

$1.36/£

60 days

$0.00333/£

$1.34/£

60 days

$0.00151/£

$1.32/£

60 days

$0.00062/£

Solutions

Expert Solution

Payoff on Put Option:
Strike Price =X, Price at expiration=$1.3200/Pound
If X< or =$1.3200/Pound, Payoff =NIL
If X>$1.3200/Pound, Payoff =$(X-1.3200)
A B C D E=D-C F=E/C G=F*(360/B)
Strike Price Maturity(Days) Premium/Pound payoff Profit Return Annual Return % Return
$1.36/£ 30 $0.00081 $0.04 $0.03919             48.38                                580.59 58059%
$1.34/£ 30 $0.00021 $0.02 $0.01979             94.24                            1,130.86 113086%
$1.32/£ 30 $0.000040 $0 -$0.00004             (1.00)                                (12.00) -1200%
$1.36/£ 60 $0.00333 $0.04 $0.03667             11.01                                  66.07 6607%
$1.34/£ 60 $0.00151 $0.02 $0.01849             12.25                                  73.47 7347%
$1.32/£ 60 $0.00062 $0 -$0.00062             (1.00)                                  (6.00) -600%
RECOMMENDATION:
Strike Price of $1.32 will give negative Return
Hence, Put options withStrike Price $1.32 Not Recommended
Among the remaing choices:
Strike Price of $1.34 with 30 days gives max. Return 113086%
Strike Price of $1.34 with 30 days Recommended

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