Compute the mark-to- market value of the following long forward NZD (New Zealand Dollar) contract. The size of the long position is NZD 450,000 and the forward rate is Fn USD/NZD= 0.66; the current spot rate (at time of valuation) X0 USD/NZD= 0.64. The NZD and USD interest rate are: rNZD= 9% and rUSD= 3%; assume the contract matures in two years from now (so at t=2). Please calculate the forward price and mark to market value.
Contract Size= NZD 450,000 | ||||||||
Forward rate is USD/ NZD= 0.66 | ||||||||
Spot rate is USD/NZD = 0.64 | ||||||||
NZD interest rate is 9% | ||||||||
USD interest rate is 3% | ||||||||
Time = 2 years | ||||||||
Forward rate = | Spot rate (USD/NZD) | * | (1+ Interest rate in USD)^2 | |||||
(1+ Interest rate in NZD)^2 | ||||||||
= | 0.64 | * | (1 + 3%)^2 | |||||
(1 + 9%)^2 | ||||||||
= | 0.57 | |||||||
Mark market Value as on date is 450,000 * 0.64 USD/NZD = USD 288,000 | ||||||||
Mark market Value after 2 years would be 450,000 * 0.57 USD/NZD = USD 256,500 |
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