In: Finance
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:
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.
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 | |||||