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UNO [17]
3 years ago
6

A car was purchased for $4500 down and payments of $375 at the end of each month for 5 years. Interest is 9.72% compounded month

ly. What was the purchase price of the car?
Business
1 answer:
agasfer [191]3 years ago
7 0

Answer:

$21,080.2

Explanation:

The price of the car will be the down-payment plus the future value of 375 paid each month for 5 years compounded monthly at 9.72%.

The formula for calculating future value is

PV = P ×  1 − (1+r)−n

  r

PV is $350

r is 9.72 % or 0.0972 % per year or 0.0081

t is five year or 60 months

FV = 350 x (1-(1+0.0081)-60

  0.0081

Fv =350 x 1-0.61628715419

  0.0081

FV =350 x( 0.38371284581/0.00810

FV =350 x 47.371956

FV =16,580.20

The value of the car = $4500 + 16,580.20

=$21,080.2

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Answer:

The benefits of a High Speed Rail in California:

  • It becomes a feasible alternative to air travel, because it can be either cheaper, or even faster, since passengers do not have to spend as much time on a train station as they do on an airport.
  • If demand is high enough, state highways can become less congested, because many people who would otherwise travel by car, would take a high speed train instead.
  • Because the trains are electric, they are likely to help reduce pollution.

The cons would be:

  • We cannot know for sure how many people would take the high speed trains. Demand could not be high enough to justify the cost.
  • The line would be very costly.
  • It could end up benefit only a small section of the population who would take the trains, or who travel often.

I believe that the benefits outweigh the drawbacks, as can be seen in most countries where high speed lines have been made between large cities. For example, in Spain, the line between Madrid and Barcelona is profitable. The same would likely happen for a line between Los Angeles and San Francisco.

What are the implications of starting a project based on tenuous projections that may or may not come true 10 years from now?

If demand projections are tenous, there is always the possiblity that the high speed line could not be profitable. However, this risk can be lowered if the line is made between highly populated cities.

Could you justify the California high-speed rail project from the perspective of a massive public works initiative?

Yes, a high speed rail would be a project that could massively impact California. The benefits of its operation could outweight the cost.

In other words, what other factors enter into the decision of whether to pursue a high-speed rail project?

As I said before, the most important factor is to construct line between highly populated cities in order to reduce the risk of not having enough demand. It has been demonstrated around the world, in Spain, in Italy, in Japan, in China, that high speed lines that connect very populated regions, can be profitable.

7 0
3 years ago
True or false: if the sales comparison approach cannot be developed because of a lack of sales data, the cost approach cannot be
vfiekz [6]

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1 year ago
Crossfade Corp. has a bond with a par value of $2,000 that sells for $1,902.14. The bond has a coupon rate of 6.48 percent and m
Virty [35]

Answer:

yield to maturity = 7.06%

Explanation:

yield to maturity (YTM) is calculated using the following formula:

YTM = {C + [(FV - PV) / n]} / [(FV + PV) / 2]

  • FV = $2,000
  • PV = $1,902.14
  • C = $2,000 x 6.48% x 1/2 = $64.80
  • n = 12 x 2 = 24

YTM = {64.80 + [(2,000 - 1,902.14) / 24]} / [(2,000 + 1,902.14) / 2] = (64.80 + 4.0775) / 1,951.07 = 0.0353 or 3.53% semianually or 7.06% annually

Since the bond sells at a discount, its yield to maturity will be higher than the coupon rate.

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A Treasury bill with 119 days to maturity is quoted at 97.630. What are the bank discount yield, the bond equivalent yield, and
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Answer:

discount yield=7.17%

bond equivalent yield=7.34%

effective annual yield =7.64%

Explanation:

Discount yield =discount /face value*360/t

where t is the number of days to maturity

discount =face value -issue price

discount=100-97.63

discount=2.37

discount yield =2.37/100*360/119

discount yield=7.17%

bond equivalent yield=(1+periodic yield)^360/t-1

periodic yield =discount/face value=2.37/100=2.37%

bond equivalent yield =(1+2.37%)^(360/119)-1

bond equivalent yield=7.34%

effective annual yield=(1+HPY)^365/t-1

Holding period yield (HPY)=discount/price=2.37/97.63

HPY=2.43%

effective annual yield=(1+2.43%)^(365/119)-1

effective annual yield =7.64%

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