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. | ||||