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Suppose a corporation currently has $500 Million of USDs in excess cash available to repurchase stock or pay dividends on its 20 million shares. Suppose the corporation decides to use the $500 Million to repurchase shares on the open market. If the current stock price is $50, what will be the price of the stock after the repurchase? Note: Express your answers in strictly numerical terms. For example, if the answer is $500, write enter 500 as an answer."

Question

Suppose a corporation currently has 500MillionofUSDsinexcesscashavailabletorepurchasestockorpaydividendsonits20millionshares.Supposethecorporationdecidestousethe500 Million of USDs in excess cash available to repurchase stock or pay dividends on its 20 million shares. Suppose the corporation decides to use the 500 Million to repurchase shares on the open market. If the current stock price is 50,whatwillbethepriceofthestockaftertherepurchase?Note:Expressyouranswersinstrictlynumericalterms. Forexample,iftheansweris50, what will be the price of the stock after the repurchase? Note: Express your answers in strictly numerical terms. For example, if the answer is 500, write enter 500 as an answer."

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Solution

First, let's calculate how many shares the corporation can buy back with the $500 million.

Step 1: Number of shares to be repurchased = Amount available for repurchase / Current stock price Number of shares to be repurchased = 500million/500 million / 50 = 10 million shares

So, the corporation can buy back 10 million shares.

Step 2: Next, let's calculate the new number of shares after the repurchase.

Number of shares after repurchase = Total current shares - Number of shares repurchased Number of shares after repurchase = 20 million - 10 million = 10 million shares

Step 3: Finally, let's calculate the new stock price.

New stock price = Total value of the corporation / Number of shares after repurchase Since the total value of the corporation doesn't change due to the repurchase, we can use the current total value, which is the current stock price times the current number of shares.

New stock price = (5020million)/10million=50 * 20 million) / 10 million = 100

So, the price of the stock after the repurchase will be $100.

This problem has been solved

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