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The following table shows 2014 gold futures prices for varying contract lengths
The following table shows 2014 gold futures prices for varying contract lengths. Gold is predominantly an investment good, not an industrial commodity. Investors hold gold because it diversifies their portfolios and because they hope its price will rise. They do not hold it for its convenience yield. Contract Length (months) 3 6 9 $1,190.1 $1,191.8 $1,193.3 Futures price Calculate the interest rate faced by traders in gold futures, assuming a zero net convenience yield, for each of the contract lengths shown below. The spot price is $1,189.0 per ounce. (Do not round intermediate calculations. Enter your answers as a percent rounded to 4 decimal places.) Contract Length (months) 3 Interest Rate % % % 6 9
Expert Solution
Case 1: ANNUAL COMPOUNDING
1.
=(1190.1/1189)^(12/3)-1=0.370572728193719%
2.
=(1191.8/1189)^(12/6)-1=0.471538585053222%
3.
=(1193.3/1189)^(12/9)-1=0.482488335748421%
CASE 2: CONTINUOUS COMPOUNDING
1.
=12/3*LN(1190.1/1189)=0.369887799044902%
2.
=12/6*LN(1191.8/1189)=0.470430324419349%
3.
=12/9*LN(1193.3/1189)=0.481328091310429%
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