Question

In: Finance

PLEASE NOTE: I POSTED THIS QUESTION BEFORE BUT ONE EXPERT SIMPLY COPIED THE ANSWER TO ANOTHER...

PLEASE NOTE: I POSTED THIS QUESTION BEFORE BUT ONE EXPERT SIMPLY COPIED THE ANSWER TO ANOTHER QUESTION THAT WAS USING THE SAME INFORMATION.

WHAT I'M LOOKING FOR ARE 2 GRAPHS.

An investor is provided with the following information on American put and call options on a share of a company listed on the London Stock Exchange:

  • Call price (c0) = 33p
  • Put price (p0) = 49p
  • Exercise price (X) = 480p
  • Today: 11 June 2019
  • Expiry date: 20 December 2019
  • Current stock price (S0) = 458p
  • Risk-free interest rate (r) = 2.4%
  • The company pays no dividends.

Draw a graph showing the prices at expiry of a fiduciary call and another one showing a protective put, including all of their components, in relation to the price of the stock in a range between 350p and 600p.

Solutions

Expert Solution

FIDUCIARY CALL:
Under this strategy you buy a CALL instead of the share
The money saved by buying Call instead of share is invested at risk free rate
Strategy of Fiduciary Call Option:
1. Buy a CALL OPTION (pay premium =33p)
2. Invest Present Value of Strike price at risk free rate
This will enable excercising the option at expiration
Exercise Price=480p
Risk Free interest rate =2.4%
Number of days to   expiry=192
Years=192/365 0.526027
Present Value of Exercise Price =480/(1.024^0.526027)= 474 p
Invest 474 p at 2.4%)
PAYOFF from CALL option:
Price at expiration =S
If S< or=480, Payoff =0
If S>480, Payoff =(S-480)
PAYOFF from Investment =480p
Total Cost =474+33=507p
S A B=A+480-507
Price at Expiration(p) Payoff Call Option Net Profit(Fiduciary Call)
350 0 -27
375 0 -27
400 0 -27
425 0 -27
450 0 -27
475 0 -27
480 0 -27
500 20 -7
507 27 0
525 45 18
550 70 43
575 95 68
600 120 93
PROTECTIVE PUT
Strategy:
1. Buy one stock
2. Buy one Put option toprotect against loss
Cost of buying one stock=458p
Cost of buying one Put=49p
Total investment =458+49= 507 p -8
Payoff on Put Option:
Price at expiration is=S
If S> or=480, Payoff=0
If S<480,Payoff =(480-S)
Payoff on Stock= (S-458)
S A B=A+S-507
Price at Expiration(p) Payoff PUT Option Net Profit(Protective PUT)
350 130 -27
375 105 -27
400 80 -27
425 55 -27
450 30 -27
475 5 -27
480 0 -27
500 0 -7
507 0 0
525 0 18
550 0 43
575 0 68
600 0 93

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