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A company share has a spot price of 200p today and an "over the counter" Forward Contract is to be arranged for the purchase of the company share in 1 year’s time

Finance Aug 05, 2020

A company share has a spot price of 200p today and an "over the counter" Forward Contract is to be arranged for the purchase of the company share in 1 year’s time.

Assuming that the applicable rate of interest is 5%, inflation is currently 2.5% and that there is an anticipated dividend of 3p payable within the next year, what would be the likely Forward price of the company share?

Expert Solution

Calculation of forward price would be as follows.

the underlying asset pays dividends over the life of the contract, the formula for the forward price is:

F=(S−D)×(e^(r×t))

where,

F=the contract’s forward price

S=the underlying asset’s current spot price=200p

e=2.7183

r=the risk-free rate that applies to the life of theforward contract=5%

t=the delivery date in years =1 year

D equals the sum of each dividend's present value

Here, assume dividend is paid each year end, therefore PV of next year's dividend=3p/(e^(r*t))

=3p/(e^0.05) [As rate of interest is 5%,t=1 year]

=2.853p

Therefore, forward price of share = (200p-2.853p)*(e^(0.05*1))

=197.15*1.0513

=207.26 (approximately)

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