Consider a life who purchases a one-year term insurance with suminsured $1000 payable at the end of the year of death. Let us supposethat the life is subject to a mortality of rate of 0.01 over the year, that theinsurer can earn interest at 4 % per year, andnatthere are nOexpenses. Suppose that this insurance is offered to 2300 policyholders.Find the premium based on the portfolio percentile premium principle sothat the probability of the total future loss is negative is 95%.Answer:

Answered: Image /qna-images/answer/4df240ad-45c0-4735-a0e5-2a5893dd487b.jpg

Answered: insured $1000 payable at the end of the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A forward contract exists for a unit of two-year government securities with delivery to take place three years from now. Suppose the price of these securities three years from now is uniformly distributed from a low $800 to a high of $1,400. The one-year expected riskless rate of interest is 5 percent for all periods under consideration. If investors are risk neutral, what should be the current forward price? Suppose now that investors are risk averse and that the forward price is $1,200. What do you know about the relationship between the market value of two-year government securities and overall consumption? Continue to assume (as in (ii)) that the current forward price (at time 0) is $1,200. One year from now (at time 1) the forward price for the same item and same delivery date is $1,000. Determine the time 1 value (to the buyer) of the contract that was agreed upon at time 0.
Suppose that a life insurance company insures 1 million 50-year-old people in a given year. (Assume a death rate of 5 per 1000 people.) The cost of the premium is $200 per year, and the death benefit is $50,000 What is the expected profit or loss for the insurance company?
Suppose that a life insurance company insures 900,000 fifty-year-old people in a given year. (Assume a death rate of 8 per 1000 people.) The cost of the premium is $500 per year, and the death benefit is $45,000. What is the expected profit or loss for the insurance company?
If the expected return on the market is 8% and the risk free rate is 4% and the expected return is 12%, what is the market risk premium ?
Suppose that you would like to create composite indexes from three stocks: stk1, stk2, stk3. Their stock prices (Pt) and total shares outstanding (Qt) from day 0 to day 1 are shown as follows: stk3 splits two-for-one in day 1. P0 Q0 P1 Q1 stk1 40 250 50 250 stk2 50 100 50 100 stk3 60 150 50 300 Which answer is the closest value to the rate of return on a price-weighted index of the three stocks? A. 20% B. 25% C. 30% D. 35%
Suppose that 2% of the employed lose their job each month. Further suppose that 25% of the unemployed find a job each month. a. What is the average duration of employment in this labor market? b. Do you think this is a reasonable figure given estimates of the natural rate? Why or why not? c. If you wanted to reduce the steady-state level of unemployment, what type of policies might you pursue and why?
The National Highway Association is studying the relationship between thenumberof bidders on a highway project and the winning (lowest) bid for the project. Ofparticular interest is whether the number of bidders increases or decreases the amountof the winning bid.
In August 2011, Bank of Hawaii (BOH) stock cost $45 per share, yielded 4% per year in dividends, and had a risk index of 3.0 per share, while JPMorgan Chase (JPM) stock cost $40 per share, yielded 2.5% per year in dividends, and had a risk index of 2.0 per share.† You have up to $25,000 to invest in these stocks, and would like to earn at least $760 in dividends over the course of a year. (Assume the dividends to be unchanged for the year.) How many shares (to the nearest tenth of a unit) of each stock should you purchase to meet your requirements and minimize the total risk index for your portfolio?
Suppose that a new car costs $10,000 and that the annualoperating cost and resale value of the car are as shown inTable 13. If I have a new car now, determine a replacementpolicy that minimizes the net cost of owning and operatinga car for the next six years. Age of Car Resale Operating(Years) Value ($) Cost ($)1 7,000 300 (year 1)2 6,000 500 (year 2)3 4,000 800 (year 3)4 3,000 1,200 (year 4)5 2,000 1,600 (year 5)6 1,000 2,200 (year 6)
The delta of an underlying asset (such as a stock) is 1.00 and therefore it can be used to hedge delta from an options position. True or False
Given that a zone has 350 households with access to cars and 295 households without access to cars and the average trip generation rates for each group are 4.0 and 2.0 trips per day, respectively. Assuming that in the future, households will have similar distribution with access and without access to a car, as per the existing situation. There will be an addition of 650 households with a similar distribution of car ownership. Find the growth factor and future trips from that zone.
A corporate bond that pays 4% per annum semi-annually has a yield of 3% p.a. withcontinuous compounding and a remaining life of 1.5 years (immediate after couponpayment). The yield on a similar risk-free bond is 2% p.a. with continuous compounding. The risk-free rates are 1% p.a. with continuous compounding for all maturities.Assume that the unconditional probability of default per every six months is a constantand that defaults can happen at the end of every six months (immediate before couponpayment). The recovery rate is 40%. Estimate the unconditional probability of defaultusing the “more exact calculation”.

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