[13,498.73] Q80) A man deposits $150 in a saving bank on his twenty-fifth birthday and a like amount every six months. If the bank pays 3% interest convertible semi-annually, how much does he have on deposit on his sixtieth birthday?[$18,779.88 if payment At age 60 is included otherwise 18629.88] Q81) $250 is deposited at the end of every six months for 10 years in a fund paying 4% p.a. convertible semi- annually. Then, $150 is deposited at the end of every three months for 10years and the interested rate is reduced to 3% p.a. convertible quarterly. Find the total amount on deposit at the end of the 20 years.[15,157.30] Q82) Calculate the accumulated value, at the end of 8 years, of payments of $4,000a year which are paid monthly at the start of each month. The annual effective rate of interest is 9%.[46,236.14] Q83) Find the accumulated value at time 20 years of payments of $35 at times 0, 1, 2, and so on, with the last payment at 19 years. The nominal rate of interest is 7% a year convertible biannually.[1494.19] Q84) Find the accumulated value at time 15 years of payments of $455 at time 0,1,2 and so on, until the last payment at 14 years, if the nominal rate of discount is 8% p.a. converted quarterly.[13628.45] Q85) Money is received at a rate of $6880 a year. Find the accumulated value at time 16 years of the money received, given that payments are received at the end of every other year. The nominal rate of interest is 10% a year convertible every 6 months.[240,390.22] Q86) Find the accumulated value at time 20 years of payments of $50,000 a year paid at the start of every half- year, starting at time 0. The nominal rate of interest is 6% a year convertible monthly.[1959,000.90] Q87) You lend 10,000 and the borrower agrees to pay you 8% interest at the end of every year for 5 years and then return the 10,000. You can reinvest the interest payments at 6%. How much will you have in total in 5 years?[14,509.67] Continuous Annuity Q88) $100 per year is received continuously from time 5 years to time 8 years. Assuming an annual effective interest rate of 4.5%, what is the accumulated value at time 10 years?[$350.22]
CM1 Assignment (Chp.3 to 9) 9 For Admission Contact +91 95615 72749 or visit smonk.inS.MONK Located at Vile Parle, Dadar, Pune & KolkataPerpetuity Q89) Mary receives payments of $100 at the beginning of each year, including today, forever. Virginia receives payments of $X at the end of each year, starting 5 years from today, forever. The present values of their payments are the same at an annual effective interest rate of 10%. Calculate X.[$161.05] Deferred Annuity Q90) An annuity immediate has 40 initial quarterly payments of 20 followed by perpetuity of quarterly payments of 25 starting in the eleventh year. Find the present value at 4%p.a. convertible quarterly.[2,335.83] Q91) A university student receives a 3 year sponsorship grant. The payment under the grant as follows: Year 1 Rs5,000 per annum paid continuously Year 2 Rs5,000 per annum paid monthly in advance Year 3 Rs5,000 per annum paid half yearly in advance.
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