# Recent questions and answers in Actuarial Science

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What are the best study skills needed to succeed in Actuarial Science?
What are the best study skills needed to succeed in Actuarial Science?What are the best study skills needed to succeed in Actuarial Science? ...
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What are the career opportunities in Africa for Actuarial Scientists?
What are the career opportunities in Africa for Actuarial Scientists?What are the career opportunities in Africa for Actuarial Scientists? ...
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Describe the different purposes of performing an experience analysis on claims and exposure:
Describe the different purposes of performing an experience analysis on claims and exposure:Describe the different purposes of performing an experience analysis on claims and exposure: ...
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The state-owned airline in a neighbouring country has approached your bank in South Africa, indicating it wishes to renegotiate the terms on (firstly) an existing long term secured loan held with your bankThe state-owned airline in a neighbouring country has approached your bank in South Africa, indicating it wishes to renegotiate the terms on (firstly) ...
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You are recently employed as an actuarial specialist at a South African bank with a subsidiary in the island nation of Carinthia.
You are recently employed as an actuarial specialist at a South African bank with a subsidiary in the island nation of Carinthia.You are recently employed as an actuarial specialist at a South African bank with a subsidiary in the island nation of Carinthia. An epidemic causing ...
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An investor takes out a 15 -year loan. The loan is repaid by monthly payments in arrear with the first repayment being $\mathrm{R} 1,000$ and the repayments increasing by R200 each month until the repayments reach R10,000.An investor takes out a 15 -year loan. The loan is repaid by monthly payments in arrear with the first repayment being $\mathrm{R} 1,000$ and the re ...
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Explain, without further calculation, whether the pension fund would be immunised against small changes in the interest rate if the quantities of stock in i. are purchased.
Explain, without further calculation, whether the pension fund would be immunised against small changes in the interest rate if the quantities of stock in i. are purchased.A pension fund has a liability of R400,000 due in ten years' time. The pension fund has exactly enough funds to cover the liability based on an effect ...
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Bonds pay annual coupons at a rate of $6 \%$ per annum, in arrear, and are redeemable at par. The bonds, redeemable in exactly one, two, three, four and five years respectively, are all priced at R 96 per R100 nominal.Bonds pay annual coupons at a rate of $6 \%$ per annum, in arrear, and are redeemable at par. The bonds, redeemable in exactly one, two, three, four ...
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A local company is considering investing in a gas project. The project requires an initial investment of three payments, each of $\mathrm{R} 120,000$.
A local company is considering investing in a gas project. The project requires an initial investment of three payments, each of $\mathrm{R} 120,000$.A local company is considering investing in a gas project. The project requires an initial investment of three payments, each of $\mathrm{R} 120,000\ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Calculate the purchase price that the investor paid on 26 October 2012 if the investor achieved an effective real yield of \(3.5 \%$ per annum on this investment.
Calculate the purchase price that the investor paid on 26 October 2012 if the investor achieved an effective real yield of $3.5 \%$ per annum on this investment.On 25 October 2008 a certain government issued a five-year index-linked bond. The bond paid coupons at a nominal rate of $3 \%$ per annum payable ha ...
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A student wishes to investigate whether the pass rate of first year actuarial science students at universities is correlated to a mark obtained in a mathematical entrance exam.A student wishes to investigate whether the pass rate of first year actuarial science students at universities is correlated to a mark obtained in a m ...
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An investor deposits the following amounts into a fund:
An investor deposits the following amounts into a fund:An investor deposits the following amounts into a fund: - R100 at time 0 and - $\mathrm{R} X$ at time 3 The fund earns interest at a force of intere ...
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List four issues or events that should be considered when setting parameter values for use in a cashflow model of a life office.
List four issues or events that should be considered when setting parameter values for use in a cashflow model of a life office.i. List four issues or events that should be considered when setting parameter values for use in a cashflow model of a life office. ii. Explain the di ...
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Show that $d^{(p)}$, the nominal rate of discount payable $p$ times a year, can be written as $d^{(p)}=p\left(1-e^{-\delta / p}\right)$, where $\delta$ is the force of interest.i. Show that $d^{(p)}$, the nominal rate of discount payable $p$ times a year, can be written as $d^{(p)}=p\left(1-e^{-\delta / p}\right)$, wher ...
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A man deposits $\mathrm{R} 1,000$ into a savings account which earns interest as follows:
A man deposits $\mathrm{R} 1,000$ into a savings account which earns interest as follows:A man deposits $\mathrm{R} 1,000$ into a savings account which earns interest as follows: - Simple interest at a rate of $5 \%$ per annum over th ...
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Define algebraically $(\overline{I a})_{n}$
Define algebraically $(\overline{I a})_{n}$i. Define algebraically $(\overline{I a})_{n}$ ii. Hence, prove that $(\overline{I a})_{n}=\frac{\bar{a}_{\eta}-n v^{n}}{\delta}$. ...
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Describe ten key steps that should be followed in the modelling process.
Describe ten key steps that should be followed in the modelling process.Describe ten key steps that should be followed in the modelling process. ...
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Calculate the discounted payback period for the project.
Calculate the discounted payback period for the project.An investor is considering the following project. At the beginning of each of the first three years of the project, R 210,000 will be invested. The in ...
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Derive a capital gains test for an investment in a fixed interest bond. The test must be in terms of the net redemption yield on the fixed interest bond.
Derive a capital gains test for an investment in a fixed interest bond. The test must be in terms of the net redemption yield on the fixed interest bond.i. Derive a capital gains test for an investment in a fixed interest bond. The test must be in terms of the net redemption yield on the fixed interest ...
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Calculate the change in the monthly instalment due to the change in the interest rate assuming that the original term of the loan was unchanged.
Calculate the change in the monthly instalment due to the change in the interest rate assuming that the original term of the loan was unchanged.i. On 1 January 1997, a bank issued a loan of R 275,000 , repayable by level monthly instalments payable in arrears. The loan was issued at a rate of ...
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Calculate the amounts that should be invested in Asset $\mathrm{A}$ and $\mathrm{B}$ to immunise the portfolio against small changes in the interest rate. Focus only on the first two conditions of the immunisation theory.A small investor has the following liabilities: - $\mathrm{R} 9,000$ payable at the end of years one, two, three and four, and - R 11,000 payable at ...
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The $n$-year forward rate for transactions beginning at time $t$ and maturing at time $t+n$ is denoted by $f_{t, n}$. You are given:
The $n$-year forward rate for transactions beginning at time $t$ and maturing at time $t+n$ is denoted by $f_{t, n}$. You are given:The $n$-year forward rate for transactions beginning at time $t$ and maturing at time $t+n$ is denoted by $f_{t, n}$. You are given: \ \begin ...
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Let $i$ be the annual effective interest rate and $n$ and $p$ be any natural numbers.
Let $i$ be the annual effective interest rate and $n$ and $p$ be any natural numbers.Let $i$ be the annual effective interest rate and $n$ and $p$ be any natural numbers. i. Define algebraically, in a summation format, $\ddot{a ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The force of interest \(\delta(t)$ at any time $t$, where $t$ is measured in years, is given by the formula
The force of interest $\delta(t)$ at any time $t$, where $t$ is measured in years, is given by the formulaThe force of interest $\delta(t)$ at any time $t$, where $t$ is measured in years, is given by the formula \ \delta(t)=\left\{\begin{array}{lll ...
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