Portfolio+homework_9

docx

School

Harvard University *

*We aren’t endorsed by this school

Course

INVESTMENT

Subject

Finance

Date

Nov 24, 2024

Type

docx

Pages

2

Uploaded by JusticeWaterBuffaloPerson5170

Report
Portfolio homework: week_nine 1) You want to protect the value of a $250,000,000 portfolio over next 6 months; the beta of your portfolio is 1.3. Currently the S&P futures contract with six months to expiration has a price of $3100. Questions: 1) How many contracts you need to sell? Value of portfolio = 250,000,000 $ Beta of Portfolio = 1.3 Amount to be Shorted = 250,000,000*1.3 = 325000000 $ S&P Futures with a 6-month expiration has a price of 3100$ No. of Contracts to be Sold = 325000000/3100 = 104838.7 104839 2) Calculate the gain on the future contracts if S&P 500 index price declines 10% to $2790 six months later. Gain = No. of Contracts Sold * (Price at which it is sold - Price in current Market) Gain = 104839 * (3100-2790) = $ 32500090 3) Calculate the loss on the portfolio if S&P 500 index price declines 10% to $2790 six months later. Therefore 13% of our Portfolio = 250000000*13% = 32500000 Since the market has gone down our portfolio will go down too. Loss on our portfolio = $32500000 4) Explains how the hedge has worked.
In the decline of 10%, future profit was expected to be $ 32500090, and also due to decline in market, a loss of $32500090 due to tune of 13%. So, the ultimate profit/loss is: Profit/Loss= 32500090-32500000 = $90 So this is how the changes have been immunized and portfolio remained protected.
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help