In: Finance
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/£ |
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 | ||||||||||