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23 Answered Questions for the topic actuarial science

Actuarial Science Science Physics

07/11/20

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.... more
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. more
Actuarial Science Statistics Probability

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... more
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... more

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: $$\\frac{1}{(1+x)^5}$$... more
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... more
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... more
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... more
Actuarial Science Economics Finance

07/12/19

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 =... more
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... more
Actuarial Science Economics Finance

07/12/19

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... more
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... more
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... more
Actuarial Science Calculus Finance

07/12/19

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... more
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... more
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. ... more

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... more
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. ... more
Actuarial Science Probability Probability Model

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... more
Actuarial Science Math Math Help

06/01/18

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... more
Actuarial Science Compound Interest Mortgage

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... more

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