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Assume You Win a $1,000,000 Contest, and the Prize Will

question 125

Multiple Choice

Assume you win a $1,000,000 contest, and the prize will be paid in equal 10 equal installments over 10 years. The payments will be made on June 30 of each year beginning with June 30 this year. If the current rate of interest is 7 percent, what is the present value of your winnings? Use the information in the table to determine your answer.
Present value of an annuity of $1 at compound interest:
 Periods4.0%4.5%5.0%5.5%6.0%6.5%7.0%10.%11.0%12.0%13.0%0.9610.9560.9520.9470.9430.9380.9340.9090.9000.8920.884154943887409758099086961.8861.8721.8591.8461.8331.8201.8081.7351.7121.6901.668209674132396302545205102.7752.7482.7232.6972.6732.6482.6242.4862.4432.4012.361309962593014832857183153.6293.5873.5453.5053.4653.4253.3873.1693.1023.0372.974490539515118021874535474.4514.3894.3294.2704.2124.1554.1003.7903.6953.6043.517582984828366820799078235.2425.1575.0754.9954.9174.8414.7664.3554.2304.1113.997614876953320154265441556.0025.8925.7865.6825.5825.4845.3894.8684.7124.5634.422705703797385229422076616.7326.5956.4636.3346.2096.0885.9715.3345.1464.9674.798874892157797530931264777.4357.2687.1076.9526.8016.6566.5155.7595.5375.3285.131933798220691023020525668.1107.9127.7217.5377.3607.1887.0236.1445.8895.6505.426109072736309835857232224\begin{array}{ccccccc}\text { Periods}&\mathbf{4 . 0 \%} & \mathbf{4 . 5 \%} & \mathbf{5 . 0 \%} & \mathbf{5 . 5 \%} & \mathbf{6 . 0 \%} & \mathbf{6 . 5 \%} & \mathbf{7 . 0 \%}&10.\%&11.0\%&12.0\%&13.0\% \\&0.961 & 0.956 & 0.952 & 0.947 & 0.943 & 0.938 & 0.934 & 0.909 & 0.900 & 0.892 & 0.884 \\1&54 & 94 & 38 & 87 & 40 & 97 & 58 & 09 & 90 & 86 & 96\\&1.886 & 1.872 & 1.859 & 1.846 & 1.833 & 1.820 & 1.808 & 1.735 & 1.712 & 1.690 & 1.668 \\2&09 & 67 & 41 & 32 & 39 & 63 & 02 & 54 & 52 & 05 & 10\\&2.775 & 2.748 & 2.723 & 2.697 & 2.673 & 2.648 & 2.624 & 2.486 & 2.443 & 2.401 & 2.361 \\3&09 & 96 & 25 & 93 & 01 & 48 & 32 & 85 & 71 & 83 & 15\\&3.629 & 3.587 & 3.545 & 3.505 & 3.465 & 3.425 & 3.387 & 3.169 & 3.102 & 3.037 & 2.974 \\4&90 & 53 & 95 & 15 & 11 & 80 & 21 & 87 & 45 & 35 & 47\\&4.451 & 4.389 & 4.329 & 4.270 & 4.212 & 4.155 & 4.100 & 3.790 & 3.695 & 3.604 & 3.517 \\5&82 & 98 & 48 & 28 & 36 & 68 & 20 & 79 & 90 & 78 & 23\\&5.242 & 5.157 & 5.075 & 4.995 & 4.917 & 4.841 & 4.766 & 4.355 & 4.230 & 4.111 & 3.997 \\6&14 & 87 & 69 & 53 & 32 & 01 & 54 & 26 & 54 & 41 & 55\\&6.002 & 5.892 & 5.786 & 5.682 & 5.582 & 5.484 & 5.389 & 4.868 & 4.712 & 4.563 & 4.422 \\7&05 & 70 & 37 & 97 & 38 & 52 & 29 & 42 & 20 & 76 & 61\\&6.732 & 6.595 & 6.463 & 6.334 & 6.209 & 6.088 & 5.971 & 5.334 & 5.146 & 4.967 & 4.798 \\8&74 & 89 & 21 & 57 & 79 & 75 & 30 & 93 & 12 & 64 & 77\\&7.435 & 7.268 & 7.107 & 6.952 & 6.801 & 6.656 & 6.515 & 5.759 & 5.537 & 5.328 & 5.131 \\9&33 & 79 & 82 & 20 & 69 & 10 & 23 & 02 & 05 & 25 & 66\\&8.110 & 7.912 & 7.721 & 7.537 & 7.360 & 7.188 & 7.023 & 6.144 & 5.889 & 5.650 & 5.426 \\10&90 & 72 & 73 & 63 & 09 & 83 & 58 & 57 & 23 & 22 & 24\end{array}


Definitions:

Marginal Product

The additional output that can be produced by adding one more unit of a specific input, holding all other inputs constant.

Value Of Marginal Product

describes the additional revenue generated from employing one more unit of input, such as labor or capital.

Wage Rate

The amount of compensation a worker receives per unit of time or per task performed, often expressed per hour or per piece.

Supply Of Labor

The total number of workforce hours available for work in an economy at a given wage rate.

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