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WINSTONCH [101]
3 years ago
10

A company that makes modular bevel gear drives with a tight swing ratio for optimizing fork-lift vehicles was told that the inte

rest rate on a loan would be an effective 3.5% per quarter, compounded monthly. The owner, confused by the terminology, asked you to help. What is the APY
Business
1 answer:
Troyanec [42]3 years ago
5 0

Answer:

The APY is 14.9%

Explanation:

To find the annual percentage yield we need to compute the effective annual rate of interest.

The Effective annual rate of return(EAR) is the equivalent rate to be paid where compounding is done frequently at period or interval less than a year.

Compounding implies the regular interval when interest is always computed; in this scenario, it is monthly.

The EAR can be worked out as follows

EAR = ( (1+r)^m - 1 ) × 100

r- interest rate per period

m- number of periods in a year

EAR - Effective annual rate

r = 3.5%/3 = 1.167 % per month

m= number of months in a year = 12

EAR =( 1.01167^12-1)× 100 = 14.9%

The APY is 14.9%

This implies the quoted interest rate of 3.5% per quarter is the same as paying 14.9% per year

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Consider a 11-period binomial model with r=1.02r=1.02, s_0 = 100s
FromTheMoon [43]

The  value of a European call option on the stock with strike k=102k=102 is: 2.03529 and the amount of dollar to invest in the cash account is $28.694

<h3>European call option</h3>

Given:

R=1.02

S0 = 100

u=1/d= 1.05

Strike(k) = 102

First step

Upside Price = u × S0

Upside Price = 1.05 × 100

Upside Price = 105

Downside Price = S0/u

Downside Price= 100×1/1.05

Downside Price= 95.238

Upside Payoff = upside price - strike rate

Upside Payoff =(105 - 102)

Upside Payoff = 3

Second step

Upside probability=(r - q) / u - d

Upside probability=1.02- (1/1.05)÷ 1.05- (1/1.05)

Upside probability=0.0676190/0.0976190

Upside probability=0.692


Probability of downside = 1 - p(upside)

Probability of downside = 1 - 0.692

Probability of downside = 0.30731722

Third step

European call option=[0.692×3+0.30731722×0]×1/100

European call option=2.03529

Let B represent the Dollar to invest

105D -1.05B=3

95.238D-1.02B=0

Solving for B

B=$28.694

Therefore the  value of a European call option on the stock with strike k=102k=102 is: 2.03529 and the amount of dollar to invest in the cash account is $28.694

Learn more about European call option here:brainly.com/question/16998902

#SPJ1

4 0
2 years ago
What type of forces is acting on an object that prevents the object from moving? (2 points) a Balanced forces b Friction forces
Otrada [13]
Friction is a force that slows or stops motion. Friction is the resistance to motion created by two objects rubbing against each other (the sled and the snow, for instance). Even air causes friction. Friction forces is your answer.
7 0
3 years ago
Read 2 more answers
Which of the following is true regarding the value of an option? A) Unlike the Black-Scholes formula, the Put-Call Parity sugges
NeX [460]

Answer: B) The option premium is greater or equal to its intrinsic value because of the time premium.

Explanation:

The option premium can be calculated by adding the time premium and the intrinsic value. The time premium is the part of the option premium that accounts for the time remaining till the premium matures while the intrinsic value is the difference between the value of underlying asset and the strike price.

As the time premium can be zero but never negative, the option premium can either be greater than its intrinsic value or equal to it. It cannot be lower than it because of the time premium.

6 0
3 years ago
Lion Company makes 10,000 units per year of a part it uses in the products it manufactures. The unit product cost of this part i
Dovator [93]

Answer:

It the company buys the units, the effect on income will be an $8,000 decrease.

Explanation:

Giving the following information:

Production costs:

Direct materials= $13.2

Direct labor= 20.8

Variable manufacturing overhead= 3.00

Avoidable fixed manufacturing overhead= 4.5

Unitary cost= $41.5

Outside supplier offer= 10,000 units for $42,3 each

We need to calculate the relevant total cost of each option.

Make in-house:

Total relevant cost= 10,000*41.5= $415,000

Buy:

Total relevant cost= 10,000*42.3= $423,000

It the company buys the units, the effect on income will be an $8,000 decrease.

8 0
3 years ago
In order to minimize the net cost of pollution reduction, the level of pollution reduction should be the level at which
goldenfox [79]

The marginal benefit that gained by reducing pollution should be more than marginal cost used to reduce pollution.

Explanation:

In order to reduce the net cost for pollution reduction the marginal benefit should be more than marginal cost. If the marginal benefit is more than marginal cost then it will be good for the society . Marginal benefit reduces when there is increase in consumption , when the marginal cost is more than marginal benefit which means by consuming one extra unit the consumer is not getting the satisfaction.

7 0
4 years ago
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