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anygoal [31]
4 years ago
11

A lottery claims its grand prize is $10 million, payable over 20 years at $500,000 per year. If the first payment is made immedi

ately, what is this grand prize really worth? Use an interest rate of 6%. Show work
Business
1 answer:
Ronch [10]4 years ago
7 0

Answer:

Answer is $6,079,058.25

Explanation:

This is a simple present value problem.

Present value of annuity shows the worth of annual payments which is present.

As per the given statement, grand prize of lottery is $10 million. This is payable over 20 years at $500,000 per year. The interest rate is 6%.

To find the real worth of the grand prize, each $5 million payment must be "brought back" to their current value at a 6% per year rate.

N = 20; PMT = 500,000; FV = 0 ; I = 6% ; Payments in BEGIN mode.

PV= Cash flow/ (1+rate of return) to the power n

PV will be addedc exponential power 20 times giving answer as $6,079,058.25

Hence, PV = $6,079,058.25

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4 years ago
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Answer:

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Units sold                        991,000           1,000,000

Variable costs              1,280,000           1,500,000

Fixed costs                     955,000             905,000

                        <u>Actual Results</u>    <u>Flexible Budget</u>   <u>Static Budget </u>

Units sold              991,000             991,000              1,000,000

Revenues           $9,910,000         $9,910,000        $10,000,000

Variable costs  -$1,280,000        -$1,486,500         -$1,500,000

Contr. margin           $8,630,000        $8,423,500         $8,500,000

Fixed costs            -$955,000          -$905,000           -$905,000

Operating income   $7,675,000         $7,518,500          $7,595,000

The static budget only considers standard revenue (units sold and price) and costs (both variable and fixed). While a flexible budget will be calculated using standard costs but with actual units sold and produced. Both static and flexible budgets use the same fixed costs, only variable costs and revenues differ.

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Answer:

Please see attachment

Explanation:

Please see attachment

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