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Which of the following is closest to the forward price of a share price if Cash Price = Rs.750, Futures Contract Maturity = 1 year from date, Market Interest rate = 12% and dividend expected is 6%? Rs.795 Rs.705 Rs. 845 None of these

Question

Which of the following is closest to the forward price of a share price if Cash Price = Rs.750, Futures Contract Maturity = 1 year from date, Market Interest rate = 12% and dividend expected is 6%? Rs.795 Rs.705 Rs. 845 None of these

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Solution

The forward price of a share can be calculated using the formula:

Forward Price = Spot Price * e^(r - q)T

Where:

  • Spot Price is the current price of the asset, in this case Rs.750
  • r is the risk-free (market) interest rate, in this case 12% or 0.12
  • q is the dividend yield, in this case 6% or 0.06
  • T is the time to delivery (in years), in this case 1 year
  • e is the base of the natural logarithm, approximately equal to 2.71828

Substituting the given values into the formula:

Forward Price = 750 * e^(0.12 - 0.06)*1 Forward Price = 750 * e^0.06 Forward Price = 750 * 1.0618365463474578 Forward Price = Rs. 796.38

So, the closest answer is Rs.795.

This problem has been solved

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