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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 10% more, though there will be additional costs of $360,000 incurred at the end of the year.

If the interest rate is 7%, what is 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?

1 Answer

3 votes

Answer:

$269,158.88

Step-by-step explanation:

The computation is shown below:

Before the difference of the amount, first we have to determine the value of the wine after one year which is shown below:

= $2,400,000 + $2,400,000 × 10%

= $2,400,000 + $240,000

= $2,640,000

And, the interest rate is 7%

Plus the additional cost is $360,000

So, the value of the wine now is

= ($2,640,000 - $360,000) ÷ (1 + 0.07)

= $2,130,841.12

So, the difference is

= $2,400,000 - $2,130,841.12

= $269,158.88

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