23 Answered Questions for the topic actuarial science

#### The ball leaves Julie's hand a distance 1.5 meters above the ground with an initial speed of 12 m/s at an angle 47 degrees

Julie throws a ball to her friend Sarah. The ball leaves Julie's hand a distance 1.5 meters above the ground with an initial speed of 12 m/s at an angle 47 degrees; with respect to the horizontal....
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Actuarial Science

02/13/20

#### arithmetic progression

the sum of the arithmetic progression 4, ... ,76 is 1920. Find the number of terms and the common difference.

Actuarial Science Finance

12/09/19

#### accumulated value

.Find the accumulated value at the end of 10 years of 4 payments of £200 each payable half yearly in advance, if the interest rate is:(a) 3% per annum effective. (b) 5% per annum convertible monthly.
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09/23/19

#### Important Bayes' Theorem question

A blood test for a certain disease tests positive 90% of the time, when the disease is present. The same test shows up positive 2.5% of the time, when the disease is not present. 2% of the...
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Actuarial Science

07/19/19

#### Beta distribution for exam P?

I had a quick question regarding the beta distribution and exam P for actuaries.From the recommended books that I have seem, beta distribution does not seem like it is likely to show up on the P...
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07/13/19

#### What does it mean that the probability density function is proportional to a function?

I'm studying for SOA/CAS Exam P and I have a problem that says that $X$ is a continuous and positive random variable whose probability density function is proportional to: $$\\frac{1}{(1+x)^5}$$...
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Actuarial Science Finance

07/12/19

#### Bonds and Force of Interest?

Studying for FM/2 and ran into this problem dealing with bonds;A 1,000 par value 3 year bond with annual coupons of 50 for the first year, 70 for the second year, and 90 for the third year is...
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Actuarial Science Finance

07/12/19

#### Why is nominal interest defined the way it is?

So if nominal interest is 12% compounded monthly, it is actually 1% compounded each month. It is not 12% effective year, though it is close (It is 12.7%) So why don't we/they say 1% compounded...
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Actuarial Science Finance

07/12/19

#### Perpetuity Immediate Present Value Question?

>A perpetuity-immediate pays $X per year. Brian receives the first n payments, Colleen receives the next n payments, and Jeff receives the remaining payments. Brian's share of the present...
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#### Determine fair price of a digital option?

>A ***digital option*** pays one dollar at time $t = T$ if the asset price isabove a fixed level (strike) $K$ and is worthless otherwise. >Consider the followingmodel, with $r =...
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Actuarial Science Probability

07/12/19

#### SOA Exam P Question: $P$ is a random point on the Cartesian Coordinate Plane. Find the variance of the area of a circle formed by $P$.?

Caution: This problem was "passed down" to me and I think the wording was altered or lost along the way. I will post the problem as I have it and then make suggestions on what I think it should...
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#### Fair Strike of a 1 Year Forward?

Good day, I have been tasked with this question and I am unsure if my understanding and work so far is correct.>On January 1st 2018 AAA shares were trading at $30USD$ per share. >The shares...
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Actuarial Science Probability

07/12/19

#### Difference between conditional and intersection in probability.?

I am having hard time figuring out if it is a conditional probability or an "and" probability under the following types of problems.>When a student is absent, the probability of the student...
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Actuarial Science Finance

07/12/19

#### Reinvesting the interest (generalized version)?

If I deposit \\$1 at $t=0$ into an account which credits interest at the end of each year at a force of interest $\\delta_t$ (assume it's integrable.) Then, if I reinvest the interest at an annual...
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#### Isolating for i?

So this might seem a bit fundamental, but in financial math the following equation gives you the price for a bond$$P = C \\frac {1-(1+i)^{-n}} {i} + B(1+i)^{-n}$$where $P$ is the price of the...
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Actuarial Science Mathematics

07/12/19

#### Ordinary annuity

if at age 35 you start saving up for retirement and your plan pays an APR of 6% and you want to have 1.5 million in 30 years how much should you deposit monthly?

Actuarial Science Finance

06/19/19

#### SOA Exam P Question: Exponential Distribution?

> Suppose you can borrow money at an annual interest rate of $8 \\%$ but can save money at an annual interest rate of only $5\\%$. If you start with zero capital and if the yearly cash flows of...
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Actuarial Science Finance

06/19/19

#### Annuity problem, calculating the accumulated value.?

There was an interesting problem that I would like to have some input from people who knows a bit of finance.The following is the situation.>Smith loans $\\$10,000$ for $i=5\\%$ for $10$ years. ...
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02/15/19

#### describing, evaluating and managing risk

There is a 1 percent that you will have healthcare bills of $100,000, a 19 percent chance that you will have a healthcare bill of $10,000, a 60 percent chance that you will have healthcare bills of...
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Actuarial Science Insurance Premiums

10/06/18

#### Life insurance policy questions.

Gomez purchased a life insurance policy. When he was 25 years old, he chose a $200,000, 10-year term policy at a price of $1.00 per $1.000, which at the age of 35 increased to $1.25 per $1.000. ...
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06/21/18

#### Calculate the expected amount paid

The owner of a grocery shop buys a policy to insure its revenue in the event of catastrophes (e.g. earthquakes, snowstorms etc.) that shut down the business.
The policy pays nothing for the first...
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#### How to solve this equation?

https://gyazo.com/63d7e0ebf578afd27c4390f8a894c797
Above is a screenshot of the equation. Ignore the first line if you aren't familiar with finance.
How do you go from the 3rd line of the...
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11/26/17

#### Mortgages pb help pleaaase

A home selling for $620,000 is to be purchased with a 30% down payment and the remainder financed through mortgage with monthly payments over 25 years. Determine the monthly payment if rates for...
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