The Liberty Corporation has 120,000 shares outstanding with a current market price of $8.10 per share. The company needs to raise an additional $36,000 to finance new expenditures, and has decided on a rights issue. The issue will allow current stockholders to purchase one additional share for 20 rights at a subscription price of $6 per share. Suppose that the company was also considering structuring the rights issue to allow for an additional share to be purchased for 10 rights at a subscription price of $3. Prove that a stockholder with 100 shares would be indifferent between purchasing a new share for 10 rights at $3 or purchasing a new share for 20 rights at $6.