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kozerog [31]
3 years ago
12

To save for​ retirement, a student invests ​$60 each month in an ordinary annuity with 6 % interest compounded monthly. Determin

e the accumulated amount in the​ student's annuity after 35 years.
Business
1 answer:
professor190 [17]3 years ago
6 0

Answer:

The student invests $60 each month and the interest rate is 6%. The interest rate is compounded monthly so we will take the interest rate as 0.5% (6/12).

The number of periods will be 420 (35*12) as the payments are made every month.

The present value is 0 as he is not making any investment at the start.

We need to find the future value of these payments, and for that we need to put these values in a financial calculator

PV= 0

PMT= 60

I= 0.5

N=420

Compute FV

FV=85,482

The total accumulated amount in the students annuity will be $85,482.

Explanation:

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Irina18 [472]
Should be b! hope this helps
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2 years ago
An external competitor to Construction (from another island) is offering to build the new homes for $1300 each. Here are facts a
cupoosta [38]

Answer:

a. The minimum transfer price (per home) that Construction would be willing to accept would be $1,270

b. The maximum transfer price (per home) Island Evaluations would be willing to accept would be $1,300

Explanation:

a. According to the given data If Construction accepts the proposal of Island Evaluations, then it has to foregone the profits which could have been earned if Construction accepted the proposal of local villagers to build an incline, a bridge and a campground.

Hence, minimum transfer price (per home) for Construction should be such that it covers the profit foregone as given above:

Now, profit foregone is calculated as per the table below:

Figures in $

Particulars Revenue Cost Profit

Incline        1400          600 800

Bridge         1500 950  550

Campground 2700 1200 1500

Total        5600 2750 2850

Therefore, the transfer price should be such which can generate a profit of $2,850 for Construction.

Therefore, total revenue which should be generated = Cost of building five new homes + Profit foregone

= 700*5 + 2850 = $6,350

Hence, minimum transfer price (per home) should be = 6350/5 = $1,270

b. The maximum transfer price (per home) that Island Evaluations will be willing to accept is $1,300 per home as quoted by the external competitor from another island.

4 0
2 years ago
1.Here are data on two companies. The T-bill rate is 4% and the market risk premium is 6%.
kenny6666 [7]

Answer:

Explanation:

1.

According to the CAPM model

Fair return = Risk-free rate of return + (Beta × Market Premium)

For $1 discount store:

Expected return = 4% +(1.5 × 6%)

Expected return = 0.04 + (1.5 × 0.06)

Expected return = 0.04 + 0.09

Expected return = 0.13

Expected return = 13%

For everything $5

Expected Return = 4% + (1 × 6%)

Expected return =  0.04 + (1 × 0.06)

Expected return = 0.04 + 0.06

Expected return = 0.10

Expected return = 10%

2.

From the above calculation;

For $1 discount store:

Since the expected return is greater than the forecasted return at 12%.

Thus, it is overpriced.

For everything $5

Here, it is obvious from the above calculation that the expected return is lesser than the forecasted return at 11%.

Therefore, it is underpriced.

3) Beta can be defined as the security change that takes place due to market functuations. Thus, Beta manages the systematic risk associated with firms. From the information given, Kaskin Inc. has a more systematic risk(beta) than Quinn Inc. Thus, option A is the most accurate.

4)

To first find the growth rate by using CAPM model.

Required return = Risk free return + \beta (market return - risk free return)

Required return = 0.08 + 1(0.18 - 0.08)

Required return = 18%

Using the formula:

Required return = (next year dividend/current price) + growth rate

18% = (9/100) + g

0.18 = 0.09 g

g = 0.09

Growth rate g = 9%

To determine the price at year 1; we have:

= year \ 1 \  dividend \times \dfrac{1+g}{ke-g}

= 9 \times \dfrac{1+0.09}{0.18 - 0.09}

= $109.00

Therefore, the investor can earn a profit of $9 after selling the stock for $109 at the end of the year 1.

5.

According to beta

For portfolio A.

Risk premium per unit = (21 - 8)%/1.3

Risk premium per unit = (0.21 - 0.08)/1.3

Risk premium per unit = 0.1

Risk premium per unit = 10%

For portfolio B.

Risk premium per unit = (17 - 8)%/0.7

Risk premium per unit = (0.17 - 0.08)/0.7

Risk premium per unit = 0.1286

Risk premium per unit = 12.86%

From above, it is clear that the risk associated with portfolio B is lesser compared to portfolio A.

Thus; the correct option is b. A; B

4 0
2 years ago
If the USA could produce 1 ton of potatoes or 0.5 tons of wheat per worker per year, while Ireland could produce 3 tons of potat
Anuta_ua [19.1K]

Answer:

A. The USA specializes in potatoes because of its comparative advantage in producing potatoes.

Explanation:

US         1 ton of potatoes or 0.5 tons of wheat = 2

Ireland  3 tons of potatoes or 2 tons of wheat = 1,5

8 0
3 years ago
If the marginal propensity to save is 0.2 in an economy, a $20 billion rise in investment spending will increase:
faltersainse [42]

Answer:

D. Consumption by $80 billion.

Explanation:

Marginal propensity to Save = 1 / MPS

= 1 / 0.2

= 5

= $20 billion × 5

= $100 billion

= $100 - $20

= $80 billion

Therefore, a $20 billion rise in investment spending will increase consumption by $80 billion.

4 0
3 years ago
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