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natulia [17]
3 years ago
5

Charlie Stone wants to retire in 30 years, and he wants to have an annuity of $1,000 a year for 20 years after retirement. Charl

ie wants to receive the first annuity payment at the end of the 31st year. Using an interest rate of 10%, how much must Charlie invest today in order to have his retirement annuity (round to the nearest $10)?
Business
1 answer:
lara [203]3 years ago
7 0

Answer:

Present value Due = $9,364.92

Explanation:

Given:

Number of payment (n) = 20

Periodic payment (PMT) = $1,000

Rate of interest (i) = 10% = 10/100 = 0.1

Present value of annuity = ?

Computation of Present value of annuity:

Present Value = PMT [\frac{1-(1+i)^{-n}}{i}] (1+i)\\

Present Value = 1,000 [\frac{1-(1+0.1)^{-20}}{0.1}] (1+0.1)\\\\Present Value = 1,000 [\frac{1-(1.1)^{-20}}{0.1}] (1.1)\\\\Present Value = 1,000 [\frac{1-0.148643628}{0.1}] (1.1)\\\\Present Value = 1,000 [\frac{0.851356372}{0.1}] (1.1)\\\\Present Value = 1,000 [\frac{0.851356372}{0.1}] (1.1)\\\\Present Value = 9,364.92

Present value Due = $9,364.92

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Answer:

The effective annual rate of interest is "10.38%".

Explanation:

The given values are:

Nominal annual interest rate,

Q = 10%

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Quarterly compounding,

q = 4

Now,

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=  [{1 + (\frac{Q}{q} )}^q] - 1

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8 0
3 years ago
John would like to move from the city into the suburbs and has been saving up a large down payment for a home. Which is the most
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The most cost effective way for John to buy a house in the suburbs is:

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This is to test the waters. During this time, he has to acclimatize himself into living in a new environment. He has to discover the pros and cons of living in the suburbs compared to living in the city like travel time in going to work, etc.

If after a year, he finds its more beneficial to live in the suburbs, then he can buy a house there. On the other hand, if he finds it costly to live in the suburbs compared to living in the city, he simply has to pay the necessary rent and utility bills, pack up his bags, and go home.
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The study of economics:
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A product is scarce when what happens?
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Kevin bought 265 shares of Intel stock on January 1, 2019, for $76 per share, with a brokerage fee of $165. Then, Kevin sells al
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Answer:

$2800

Explanation:

To find the Gain or loss on the sell of shares we jus need to deduct cost of purchasing and brokerage fee from sale proceeds

12 DECEMBER 2019

Gain/loss = Sales proceeds- Total Cost to purchase - Cost to sell

Gain/loss= ($88 x 265) - $20,305 - $215

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Gain/loss= $2800

WORKINGS

Purchase 1 Jan 2019

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Total cost to purchase =  $20,305

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3 years ago
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