In: Finance
Knight Inventory Systems, Inc., has announced a rights offer. The company has announced that it will take three rights to buy a new share in the offering at a subscription price of $61. At the close of business the day before the ex-rights day, the company’s stock sells for $85 per share. The next morning, you notice that the stock sells for $70 per share and the rights sell for $2 each.
What is the value of the stock ex-rights? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
Stock ex-rights | $ |
What is the value of a right? |
Value of a right | $ |
Are the rights underpriced or overpriced? |
(Click to select)UnderpricedOverpriced |
What is the amount of immediate profit you can make on ex-rights day per share? |
Immediate profit | $ |
Solution: | ||||
1. | Stock ex-rights | $ 79 | ||
Working Notes: | ||||
Stock ex-rights = [n x ROP + SP] /(n+1) | ||||
n= no. of Rights required to buy a Right share=3 | ||||
ROP = Right on price or Cum-Right price = $85 | ||||
SP = Subscription price = $61 | ||||
Stock ex-rights = [n x ROP + SP] /(n+1) | ||||
=[3x85 + 61 ] /(3+1) | ||||
=[255+61]/4 | ||||
=316/4 | ||||
=$79 | ||||
2. | Value of a right | $15 | ||
Working Notes: | ||||
Value of a right = ROP - Ex Right price | ||||
ROP = Right on price or Cum-Right price = $85 | ||||
Ex-rights price | $70 | |||
(after right selling price of stock is $70) | ||||
Value of a right = ROP - Ex Right price | ||||
= $85 - $70 | ||||
=$15 | ||||
3. | The rights are underpriced. | |||
Working Notes: | ||||
Since, | ||||
The rights sell for $2 each. | ||||
But | ||||
Theoretical value of a Right = $15 as calculated in 2. | ||||
Hence, | ||||
The rights are underpriced. | ||||
4. | Immediate profit | $3 | ||
Working Notes: | ||||
Buy 3 Rights for $2x3 = $6 | ||||
and pay subscription for a share =$61 | ||||
Immediately sell for $70 | ||||
Immediate profit= Sell price - Subscription price - Payment for Rights | ||||
= $70 - 61 - 6 | ||||
= 70-67 | ||||
=$3 per share | ||||
Please feel free to ask if anything about above solution in comment section of the question. |