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hjlf
3 years ago
15

An investment project involves an immediate outlay of $8 million. The net cash flows received at the end of years 1, 2, and 3 wi

ll be $3 million, $4 million, and $2 million. A 10% discount rate is applicable so that the present value factors for years 1, 2, and 3 are 0.9091, 0.8264, and 0.7513. The NPV of the investment will be: (a) (b) (c) (d) $1 million $9 million $0.46 million $7.54 million
Mathematics
1 answer:
My name is Ann [436]3 years ago
4 0

Answer:

(c) 0.46 million

Step-by-step explanation:

As provided immediate cash outlay = $8 million.

This will represent cash outflow at period 0, as it is made immediately, no time period has lapsed.

Cash inflows as provided and the respective present value factor are:

Year         Cash Inflow       Factor              Discounted Value

1                 $3 million         0.9091                $2,727,300

2                $4 million         0.8264               $3,305,600

3                 $2 million         0.7513                $1,502,600

Total present value of cash inflow = $7,535,500

Therefore, net present value = $7,535,500 - $8,000,000 = - $464,500

That is - 0.46 million

Correct option is

(c) 0.46 million

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Answer:

The expected payout of the game is $230.46.

Step-by-step explanation:

The given table is

Payout Amount :    $160       $4400      $145000      

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We need to find the expected payout of the game.

The formula for expected payout is

\text{Expected payout}=\sum n_iP(x_i)

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Using the above formula we get

\text{Expected payout}=160\times 0.146+4400\times 0.024+145000\times 0.0007

\text{Expected payout}=23.36+105.6+101.5

\text{Expected payout}=230.46

Therefore the expected payout of the game is $230.46.

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