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Mice21 [21]
3 years ago
10

3. You have $100 to invest. The price of XYZ stock is $100. You sell short one share of XYZ and then invest all available funds

(your initial $100 and any short-sale proceeds) in one-year zero-coupon bonds with 5% yield to maturity. One year later, the price of XYZ is $90. There are no dividends. What is the HPR on your initial $100?
Business
1 answer:
tigry1 [53]3 years ago
5 0

Answer:

HPR = holding period Return is 20%

Explanation:

  • Given original Investment = $100
  • Short sale proceeds for 1 share = $100
  • Investment made of $100 + short sale proceeds of $100 at 5% YTM.
  • So Maturity Value = Investment x (1+YTM)^number of years  
  • = 200 x (1 + 0.05)^1 = 210  

 

  • Therefore, In order to cover Short sale of 1 share, we will have to buy 1 share at a closing value of $90  
  • As such, holding period Return = (Investment proceeds from ZCB - Buying price of stock - Investment amount) / Investment Amount  
  • = (210 - 90 - 100) / 100 = 0.2 or 20%  

 

  • Hence, HPR = holding period Return is 20%  
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