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# Black-Scholes Option Pricing, Residual dividend distribution

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1) What is the value of a 9-month call with a strike price of \$45 given the Black-Scholes Option Pricing Model and the following information?
Stock price \$48
Exercise price \$45
Time to expiration .75
Risk-free rate .05
N(d1) .718891
N(d2) .641713

2) Chandler Communications' CFO has provided the following information:
? The company's capital budget is expected to be \$5,000,000.
? The company's target capital structure is 70 percent debt and 30 percent equity.
? The company's net income is \$4,500,000.

If the company follows a residual distribution policy (with all distributions in the form of dividends), what portion of its net income should it pay out as dividends this year?

#### Solution Preview

1)What is the value of a 9-month call with a strike price of \$45 given the Black-Scholes Option Pricing Model and the following information?
Stock price       \$48
Exercise price       \$45
Time to expiration       .75
Risk-free rate       .05
N(d1)      .718891
N(d2)     .641713

We will use Black Scholes Pricing Formula
Value of call= S N(d1) - X * e ^{ -r(T-t) } * ...

#### Solution Summary

Calculates the value of a call option using Black-Scholes Option Pricing Model and the dividend paid using residual dividend distribution policy.

\$2.19