ACTUARIAL MATHEMATICS ASSIGNMENT 3
2004 PAPER EXAM PAPER
ALAN MURPHY, LUKE TREACY, JASON GILL
1. Question 7
A xed interest stock pays a coupon of 8% per annum twice yearly. The next coupon is
due on 1st July, 2004. It is redeemable at 110% at the option o
ASSIGNMENT 2
LAURA WHITE, LINDSAY MAUGHAN, AND RACHEL LECKEY
Question 4.
A pro ject has an initial outlay on 1/5/2007 of 2,000 000 . One year later a further expenditure of 1,000 000 will be required. On 1/5/2010 income will be received of 40,000 a
month
Assignment 2 2006 Exam paper
Niamh Martyn
06022014
Lisa OLoughlin
05428882
Ann Lardner
06421636
1
Question 4
A project has an initial outlay on 1/5/2006 of 4,000,000. Three months later a further expenditure of 2,000,000 will be required. On 1/10/2007 inc
MA310 Actuarial Mathematics
Assignment II
2005 Exam Paper
David Buckley
Conor Twomey
Peter Keane
Question 4:
A T
C 1 i
T t
t
T
p t 1 i
T t
dt
0
v = 1 \ 1.08
A T = 2,000 v
25
2,000 v 24 1228v 22 a312
1228v18 1.08v 1.08v 2 . 1.08v 22 a112
= 315.398
Group 1
Actuarial Maths
Assignment 2 17/02/09
Alan Murphy
Jason Gill
Luke Treacy
2003 Exam Paper
Question 4:
A project has an initial outlay on 1/6/2003 of 1,000,000. Six
months later a further expenditure of 500,000 will be required.
On1/6/2004 income wi
Assignment 1 2005 Exam paper
Niamh Martyn
06022014
Lisa OLoughlin
05428882
Ann Lardner
06421636
1
Question 1
If the nominal rate of interest convertible monthly is 12 % p.a., calculate the nominal rate of
interest p.a. convertible every 4 months and the n
ACTUARIAL MATHEMATICS ASSIGNMENT 1
ALAN MURPHY, LUKE TREACY, JASON GILL
1
The eective rate of discount per annum is 8%. Calculate the corresponding force of
interest, and nominal rate of interest per annum convertible every 4 months.
d = 1 v where v =
1
1
Summer 2003, Questions 1, 2 and 3
Katie Francis
Aisling Burke
1
Question 1
If the nominal rate of interest convertible every 4 months is 4%, calculate the nominal rate
of interest p.a. convertible every 6 months and the nominal rate of discount p.a. conve
MA310 Actuarial Math - 2004 Exam Paper
Lindsay Maughan
06558178
Laura White
06538509
Rachel Leckey
06566421
1
Question 1
If the eective rate of discount convertible every month is 10% p.a., calculate the nominal
rate of interest p.a. convertible every 6 m
Homework 5.
Deadline:3rd April
Laura White
Rachel Leckey
Lindsay Maughan
Question 10. (a):
Security: Government bonds generally have zero default risk for
income and capital. Company debt is less secure. Company debt
levels depend on the type of bond. Deb
Q10
(A) Define and give two examples of an arbitrage
Arbitrage exist if an investor can make a deal that he could immediately make a profit
off with no risk of future loss.
It also exists if an investor can make a deal that has zero initial cost,
ASSIGNMENT 3
LAURA WHITE, LINDSAY MAUGHAN, AND RACHEL LECKEY
Answer:
(a):
9(e
y1
e
y1
F
e
F1,1
F
119e y1
e y1 e 1.,1 e y1 e 1,1
)
1 F2,1
1 F3,1
(1 f 2,3 ) 3
9(0.905 0.99 0.755 0.762) 119(0.718)
30.708 85.442
116.15
(b):
i 6 (1 y 6 ) 6 6 (e y6 ) 6 0.7
Assignment 5 2007 Exam paper
Niamh Martyn
06022014
Lisa OLoughlin
05428882
Ann Lardner
06421636
1
Question 10
(a) Explain why the following is an example of an arbitrage.
A
B
There are two securities A and B. At time t = 0 the securities cost P0 and P0 re
Assignment 4 2007 Exam paper
Niamh Martyn
06022014
Lisa OLoughlin
05428882
Ann Lardner
06421636
1
Question 11
(a) Calculate the price of a 5-year xed interest security redeemable at 120% with 8% annual
coupons given the following information.
Y1 = 10%
Y2
MA310 Actuarial Mathematics
Assignment II
2006 Exam Paper
David Buckley
Peter Keane
Conor Twomy
Question 7:
Answer:
i 0.1
D .08
p4
R 1 . 15
t 1 0. 3
t 2 0.4
1 t1 D 0.7 0.8
R
1.15
= 0.048696
i 4
1
1.1 i 4 0.096444
4
4
Since i >.048696 assume the worst
Actuarial Mathematics (MA310)
Homework 3: 2003 Summer Exam Q(7,8,9)
Due Date: Friday 6th March 2009
Group 3: Tiarnach McGinnity, Kevin Rodgers, Louise Gallen
1 t1 P 0.68 0.08 0.0473
R
1.15
4
i4
1 1.1
4
4
i 0.0964
Since i 4 >0.473 assume wasnt redeemed a
Assignment 3 2005 Exam paper
Niamh Martyn
06022014
Lisa OLoughlin
05428882
Ann Lardner
06421636
1
Question 7
A xed interest stock pays a coupon of 7% per annum quarterly, the next coupon is due
on 1st September, 2005. It is redeemable at 120% at the optio
Actuarial Mathematics (MA310)
Homework 4: 2008 Summer Exam Q(11,12,13)
Due Date: Friday 20th March 2009
Group 3: Tiarnach McGinnity, Kevin Rodgers, Louise Gallen
Question 11:
a
PER,100 :
100V 5 0.9 V V 2 V 3 V 4 V 5
1 1 2 1 3 1 4 1 5
1
100 0.9
1.1 1
Group 1
Actuarial maths
Assignment 4
Group 1
Jason Gill
Alan Murphy
Luke Treacy
Question 11
(a) Calculate the price of a five year fixed interest security redeemable at 110% with
9% annual coupons given the following information:
Y1 = 11%, Y2 = 6%, F2,1 =
ASSIGNMENT 2
LAURA WHITE, LINDSAY MAUGHAN, AND RACHEL LECKEY
Question 8.
An investor who is taxed at 40% bought 1000 shares on 30th June 2007
in a company. Income tax is paid annually on 30th September in arrear
on the dividends received in the previous c