Question

In: Finance

Kiko Peleh writes a put option on Japanese yen with a strike price of $ 0.008000...

Kiko Peleh writes a put option on Japanese yen with a strike price of $ 0.008000 divided by yen $0.008000/¥ ​( yen 125.00 divided by $ ¥125.00/$​) at a premium of 0.0080 cents 0.0080¢ per yen and with an expiration date six month from now. The option is for ​¥ 12 comma 500 comma 000 12,500,000. What is​ Kiko's profit or loss at maturity if the ending spot rates are yen 110 divided by $ ¥110/$​, yen 116 divided by $ ¥116/$​, yen 121 divided by $ ¥121/$​, yen 125 divided by $ ¥125/$​, yen 130 divided by $ ¥130/$​, yen 134 divided by $ ¥134/$​, and yen 140 divided by $ ¥140/$.

Solutions

Expert Solution

Profit for selling put options = Premium from the option - Payoff from the option

If put options are sold the writer has to pay the amount if the stock price is below the strike price. That will be a negative payoff for the writer.

Payoff to put option seller = Max[( Strike price - Spot price ),0 ]

Premium = 8 cents / yen = 0.00008 dollars / yen

S no Strike Price Premium ( Dollar / Yen) Spot rates ( Yen / Dollars) Spot rates [ Dollars/YEN = 1 / (YEN /DOLLARS)] Payoff [ MAX ( Strike price - spot price, 0)] Profit/loss( Premium - payoff) Total Profit / loss ( 12500000 * Profit /loss)
1 0.008 0.00008 110 0.00909 0.00000 0.00008 1000.00000
2 0.008 0.00008 116 0.00862 0.00000 0.00008 1000.00000
3 0.008 0.00008 121 0.00826 0.00000 0.00008 1000.00000
4 0.008 0.00008 125 0.00800 0.00000 0.00008 1000.00000
5 0.008 0.00008 130 0.00769 0.00031 -0.00023 -2846.15385
6 0.008 0.00008 134 0.00746 0.00054 -0.00046 -5716.41791
7 0.008 0.00008 140 0.00714 0.00086 -0.00078 -9714.28571

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