Please help me answering this question?
(Uncertain annuity) Gavin’s grandfather, Mr. Jones, has just turned 90 years old and is applying for a lifetime annuity that will pay $10,0000 per year, starting 1 year from now, until he dies. He asks Gavin to analyze it for him. Gavin finds that according to statistical summaries, the chance (probability) that Mr. Jones will die at any particular age is as follows:
age: 90 91 92 93 94 95 96 97 98 99 10 101
probability:.07 .08 .09 .10 .10 .10 .10 .10 .10 .07 .05 .04
The Gavin (and you) answers the following questions:
(a) What is life expectancy of Mr. Jones?
(b) What is the present value of an annuity at 8% interest that has a lifetime equal to Mr. Jones’s life expectancy? (For an annuity of a nonintegral number of years, use an average method. )
(c) What is the expected present value of the annuity?
Consider the example below (Please avoid too much jargon) :
Face value of a bond = $1000
(1) Issuing a bond at par –
coupon rate = market rate = 10% per year or 5% semi-annually.
present value or principal = 822.7
Interest = 177.3 (because an annuity of $50 is paid.)
TOTAL = 1000.
>>>what do i have to pay to purchase this bond ? 1000 or 822.7 ?
My textbook says that the company gets full use of the $1000, per bond.
>>>What does this mean ?
NOW THE EVEN MORE CONFUSING PART :
(2)Issuing bond at a discount –
market rate = 12 % , coupon = 10 %
present value or principal = 792.1
Interest = 173.25
TOTAL = 965.35
The textbook says that the company RECEIVES 963.35 per bond.
>>>Why not ask people to pay 1000 instead of 965.35 and offer them interest at market rate instead of these calculations ?
NOTE : This is taken form the book “Introduction to financial accounting” by horngren, sundem and eliott.
@JKRB – you said “and the discount of 36.35 makes up for the interest the buyers are losing for purchasing the 10% bonds when the market rate is 12%”.
Can you show mathematically, that the investors are losing 36.65 ? Then it would be easier to see that a lower selling price would make the interest higher.
My book presents the concept in a rather confusing way.
I was looking for some kind of mathematical proof which will show :
money lost by investor due to low coupon = discount offered.
Hence, no money lost by investor.
Can anybody explain following Actuarial problems step by step?
1.Mohan and John have equal amounts of money to invest. Mohan purchases a 10 year annuity-due with annual payments of Rs. 2500 each. John invests his money in a savings account earning 9% effective annual interest for two years. At the end of two years, he purchases a 15-year immediate annuity with annual payments of Z. If both annuities are valued using an effective annual rate of 8% find the value of Z.
2.In fund X money accumulates at force of interest δt = .01t+.010 for 0
How can I protect clients from the dollars devaluation. Can one buy in dollars to get paid ultimately in Rupees? I am insurance licensed in Maryland, Virginia and Florida.
HI.. I want to know which is the best insurance plan for the childrens from L.I.C OF INDIA..
Educational Annuity Plan
CDA Endowment Vesting At 18
Jeevan Kishore Jeevan Chhaya
Child Career Plan Child Future Plan
Child Fortune Plus
MY child is 2 yrs old
Serious answers only if possible with explainations
Write something in context to these –
Life Insurance Tax,
tax on life insurance payments, c
orporate owned life insurance tax,
excess life insurance tax,
life insurance and income tax,
life insurance and tax,
life insurance annuity tax,
life insurance distribution tax,
life insurance dividends tax,
life insurance policy tax,
life insurance proceeds income tax,
life insurance proceeds tax,
life insurance proceeds tax free,
life insurance settlement tax,
life insurance tax free,
life insurance tax reserves,
tax basis life insurance,
tax of life insurance,
tax on life insurance,
tax on life insurance dividends,
key man life insurance tax,
key person life insurance tax
A company borrowed $300,000 cash from the bank by signing a 5-year, 8% installment note. The present value of an annuity at 8% for 5 years is 3.9927. Each annuity payment equals $75,137. The present value of the note is:
show work please…. thank you.
LIC “Proposal for Insurance on Own Life” Form or application was sent to me. What is the purpose of it? What are its advantages and disadvantages of this policy?
Actually I want to enroll into LIC – Marriage Endowment Or Educational Annuity Plan. Can i enroll online? What are the advantages and disadvantages of this policy? Is there any application or Form Available so that i can download?
I am trying to find out how a particular Company for an Annuity
is rated by Standard adn Poors before I commit myself to it.
The premium or other payment paid on any insurance policy other than a contract for a deferred annuity shall be eligible for deduction to the maximum extent of 20% of the actual capital sum assured
under which kind of insurance policy covered by the maximum deduction of 20%?