1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
levacccp [35]
3 years ago
15

Consider the put-call parity relationship for European call and put options on a stock that pays discrete dividends only. Assume

the initial stock price is S0, the continuously compounded risk-free interest rate is r, the options expire at time T , the stock price at time T is denoted ST and there are two discrete dividends paid between time 0 and time T at times t1 and t2, 0 < t1 < t2 < T with amounts denoted dt1 and dt2 respectively. Write the put-call parity formula and explain why it is true
Mathematics
1 answer:
babymother [125]3 years ago
8 0

Answer and explanation:

The solution is determined using the explained formula below

C₀ + X × e - r × t = P₀ + S₀

S₀ = Stock price today

X = Strike price

C₀ = European call option premium

P₀ = European put option premium

T = Time to expiration

r = Risk-free rate of return

another thing which we have to take into consideration is the impact of dividend on put-call parity.

Since interest is a cost to an investor who borrows funds to purchase stock and benefit to the investor who shorts the stock or securities by investing the funds.

Here we will examine how the Put-Call parity equation would be adjusted if the stock pays a dividend. Also, we assume that dividend which is paid during the life of the option is known.

Here, the equation would be adjusted with the present value of the dividend. And along with the call option premium, the total amount to be invested by the investor is cash equivalent to the present value of a zero-coupon bond (which is equivalent to the strike price) and the present value of the dividend. Here, we are making an adjustment in the fiduciary call strategy. The adjusted equation would be

C₀ + (D + X * e - r * t) = P₀+ S₀  where,

D = Present value of dividends

We can adjust the dividends in another way also which will yield the same value. The only basic difference between these two ways is while in the first one we have added the amount of the dividend in strike price, in the other one we have adjusted the dividends amount directly from the stock.

P₀ = C₀ + X * e - r * t – S₀ - (S₀ * e - r * t),

You might be interested in
Geometry...please help
nalin [4]
It's a little hard to tell without more information as to what you are learning, but could it be the Golden Ratio? I believe it might have been discovered in ancient Greece...
7 0
3 years ago
1) 2x – y = 1
aleksandrvk [35]

Answer:

1) (2, 3)

2) (2, -5).

Step-by-step explanation:

2x – y = 1

2x +2y = 10   Subtract to eliminate  the 2x:

2x - 2x - y - 2y = 1  - 10

-3y = -9

y = 3.

Plug this into the first equation:

2x - 3 = 1

2x = 4

x = 2.

2)

5x – y =15

x + y = -3     Adding to eliminate y:

5x + x - y + y = 15 + -3

6x = 12

x = 2

Plug this into the first equation:

5(2) - y = 15

-y = 15 - 10 = 5

y = -5.

6 0
3 years ago
Identify all number sets to which the square root of 25 belongs to.
const2013 [10]

Answer:

SOLUTION: Explain why the square root of 25 belongs to 4 subsets of the real numbers , but the square root of 5 only belongs to 1 . tell which subsets each belong to and why .

Step-by-step explanation:

The square root of 25 is 5, which  

1. A rational number, since 5 is the ratio of the two integers 5 and 1.

2. An integer since 5 is an element of {...,-3,-2,-1,0,1,2,3,.}  

3. A whole number, since 5 is an element of {0,1,2,3.}

4. A counting number, since 5 is an element of {1,2,3,}

The square root of 5 is only  

1. An irrational number, since it is not the ratio of any two integers.

[It can only be approximated by

this nonrepeating infinite decimal, it goes on forever:

2.2360679774997896964091736687312762354406183596115257...]

4 0
2 years ago
More math help please!
Nata [24]
AS we know that:

V=SA*h

And we have the volume and we can calculate the SA,,,

So that, we can conclude:
h= \frac{V}{SA} = \frac{323.5}{\pi (7)^2} =2.1015~~in

Are you satisfied?




3 0
3 years ago
Read 2 more answers
I feel real d.umb for asking this much of questions but tbh I don’t like algebra, my math teacher doesn't like me and she never
Iteru [2.4K]

Answer:

the first one is x=3

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • An A grade will be given to students having at least 450 total test points. There are two more tests to take before the semester
    13·1 answer
  • Find the value of a in the equation:
    13·1 answer
  • You are buying fabric to make a patio umbrella in the shape of a regular hexagon, as shown. The red fabric costs $3.75 per squar
    14·1 answer
  • A store owner buys backpacks at a certain price and sells them at a higher price. The difference is called the markup. If she pa
    13·2 answers
  • Ignore the answer I chose lolz help
    9·1 answer
  • Help me pleaseeeeeeeee
    14·1 answer
  • WILL GIVE BRAINLIEST write an equation for the nth term of the sentence and find the 91st term -2,3,8,13,...
    6·1 answer
  • Grammy is buying a pair of Jeans that regularly cost $40. They are on sale for 20% off.
    11·1 answer
  • Write an equation in slope intercept form of the line that passes through the point (3,-1) and has a slope of 4
    8·1 answer
  • Find the difference: -2-6
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!