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18 November, 12:57

A vintner is deciding when to release a vintage of sauvignon blanc. If it is bottled and released now, the wine will be worth $2.4 million. If it is barrel aged for a further year, it will be worth 25 % more, though there will be additional costs of $840,000 incurred at the end of the year. If the interest rate is 7%, what is the present value of the difference in the benefit the vintner will realize if he releases the wine after barrel aging it for one year or if he releases the wine now?

A. He will earn $336,000 more if he releases the wine now.

B. He will earn $ 381,308 more if he releases the wine now.

C. He will earn $2,400,000 less if he releases the wine now.

D. He will earn $240,000 less if he releases the wine now.

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  1. 18 November, 15:56
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    Option B is correct (he will earn $ 381,308 more if he releases the wine now.)

    Explanation:

    Option B is correct (he will earn $ 381,308 more if he releases the wine now.)

    Worth of wine=$2,400,000

    Increase in worth of wine after one year=$2,400,000*0.25

    Increase in worth of wine after one year=$600,000

    After one year new worth of wine=$600,000+$2,400,000

    After one year new worth of wine=$3,000,000

    Amount Received at the end of year=$3,000,000-$840,000

    Amount Received at the end of year=$2,160,000

    Present Value=$2,160,000 / (1+0.07)

    Present Value=$2018691.589

    Earning=$2,400,000-$2018691.589

    Earning=$381308.411≅$381,308

    It means he will earn $ 381,308 more if he releases the wine now.
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