beccadoyle0809
06.05.2020 •
Business
Village Bank has $350 million worth of assets with a duration of 12 years and liabilities worth $301 million with a duration of six years. In the interest of hedging interest rate risk, Village Bank is contemplating a macrohedge with interest rate T-bond futures contracts now selling for 103-22 (30nds). The T-bond underlying the futures contract has a duration of nine years. If the spot and futures interest rates move together, how many futures contracts must Village Bank sell to fully hedge the balance sheet
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Ответ:
-2591.
Explanation:
From the question, we are given that Village Bank's assets,A = $350 million, duration for the assets,DA = 12 years, Village Bank's liabilities,L = $301 million, duration for the liabilities,DL = six years and the interest rate T-bond futures contracts now selling for 103-22 (30nds) and T-bond underlying the futures contract has a duration of nine(9) years.
The numbers of futures contracts must Village Bank sell to fully hedge the balance sheet is;
= - [ DA - (L/A) DL × A].
= - [ 12 - (301/350) × 6] × 350,000,000.
= - [ 12 - (0.86 × 6] × 350,000,000.
= - [ 12 - 5.16] × 350,000,000.
= - 2394000000.
Also, T-bond underlying the futures contract duration × price of future contract.
[ price of future contract = 100000 × 102 (20/30) = 102666.66667].
= 9 × 102666.66667 = 924000.00003.
Then, the numbers of futures contracts must Village Bank sell to fully hedge the balance sheet is;
= - 2394000000 ÷ 924000.00003.
= -2590.90909082497.
= - 2591.
Ответ:
Total amount of Benson's product costs - $ 205,200
Explanation:
Computation of Benson's product cost
Materials Used $ 120,000
Wages for assembly line workers $ 62,800
Property taxes for factory $ 14,000
Salary for factory manager $ 8,400
Total items considered for product costs $ 205,200
The other data provided in the question i.e Rent and Utilities for administrative offices, CEO' s salary and depreciation on delivery equipment are of the nature of selling and administrative expenses, and thus is not included in product costs.