Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

U.S. Dollar/Euro.The table indicates that a 1-year call option on euros at a strike rate of $1.2496/ will cost the buyer $0.0502/, or 4.00%. But

U.S. Dollar/Euro.The table indicates that a 1-year call option on euros at a strike rate of $1.2496/ will cost the buyer $0.0502/, or 4.00%. But that assumed a volatility of 10.500% when the spot rate was $1.2562/. What would the same call option cost if the volatility was reduced to 10.500% when the spot rate fell to $1.2478/? Question content area bottom Part 1 The same call option cost if the volatility was reduced to 10.500% when the spot rate fell to $1.2478/ would be?? (Round to four decimal places.)

Table:

Pricing Currency Options on the Euro

A U.S.-based firm wishing to buy

A European firm wishing to buy

or sell euros (the foreign currency)

or sell dollars (the foreign currency)

Variable

Value

Variable

Value

Spot rate (domestic/foreign)

S0

$

1.2562

S0

0.7961

Forward rate (domestic/foreign)

F0

$

1.2470

F0

0.8020

Strike rate (domestic/foreign)

X

$

1.2496

X

0.8003

Domestic interest rate (% p.a.)

rd

1.454

%

rd

2.187

%

Foreign interest rate (% p.a.)

rf

2.187

%

rf

1.454

%

Time (years, 365 days)

T

1.000

T

1.000

Days equivalent

365.00

365.00

Volatility (% p.a.)

s

10.500

%

s

10.500

%

d1

0.0327

d1

0.0727

d2

-0.0723

d2

-0.0323

N(d1)

0.5130

N(d1)

0.5290

N(d2)

0.4712

N(d2)

0.4871

Call option premium (per unit fc)

c

$

0.0502

c

0.0337

Put option premium (per unit fc)

p

$

0.0529

p

0.0319

(European pricing)

Call option premium (%)

c

4.00

%

c

4.23

%

Put option premium (%)

p

4.21

%

p

4.01

%

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

International Finance Discussion Papers The Information Content Of High Frequency Data For Estimating Equity Return Models And Forecasting Risk

Authors: United States Federal Reserve Board, Dobrislav P. Dobrev, Pawel J. Szerszen

1st Edition

1288724810, 9781288724819

More Books

Students also viewed these Finance questions