£4,000 is invested at time t=0 and a further 12,000 at t=6. Calculate the value of the fund at the end of 19 years if the rate of interest applicable during this period is 7.7% per annum nominal payable half-yearly for the first 12 years, and 3.3% per quarter year effective thereafter for the remaining years. No tables, Only formulas please

£4,000 is invested at time t=0 and a further 12,000 at t=6. Calculate the value of the fund at the end of 19 years if the rate of interest applicable during this period is 7.7% per annum nominal payable half-yearly for the first 12 years, and 3.3% per quarter year effective thereafter for the remaining years. No tables, Only formulas please

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Similar questions

What sinking fund payment is required at the end of each 6-month period, at 6% interest compounded semi-annually, to amount to P120,000 in 4 years?
£12,000 is invested at time t=0. Calculate the value of the fund after 14 years if the nominal rate of interest is 3.7% per annum convertible quarterly for the first 5 years, and thereafter the force of interest is 2.30% per half-year for the remaining years. No tables, only formulas, please
A fund is being formed by monthly deposit of P2,000 at 6% compounded monthly a) Find the amount after a year b) What is the amount in the fund just after the 5 deposit? c) Construct the sinking fund schedule for a 5 month period.
£11,700 is invested at time t=0 and a further 8,800 at time t=5. Calculate the value of the fund after 20 years if the rates of interest applicable during this period are 0.6% per month effective for the first 14 years, and thereafter 7.9% per annum nominal payable quarterly for the remaining years. (correct answer = 77956.92)
Find the amount of each payment to be made into a sinking fund which earns 7% compounded quarterly and produces $32,000 at the end of 2.5 years. Payments are made at the end of each period. The payment size is $ (Round to the nearest cent.)
£16,000 is invested at time t=0. Calculate the value of the fund after 15 years if the nominal rate of interest is 3.3% per annum convertible quarterly for the first 7 years and 3.5% per annum convertible monthly thereafter for the remaining years. (No tables, ONLY formulas, please)
If $100 is deposited in a fund at the beginning of each 3 months for 8 years and the money is invested at 5% compounded quarterly, how much is the fund (a) at the end of 7 3/4 years just after the payment due then is made (b) at the end of 8 years?
Find the amount of each payment to be made into a sinking fund which earns 8% compounded quarterly and produces $44,000 at the end of 3.5 years. Payments are made at the end of each period. The payment size is $_
£6,000 is invested at time t=0. Calculate the value of the fund after 13 years if the nominal rate of interest is 3.6% per annum convertible monthly for the first 4 years, 5.0% per annum convertible half yearly for the next 5 years, and 2.4% per annum convertible quarterly for the remaining years. (no tables, ONLY formulas, please)
A lump sum S deposited into either fund X or fund Y will be exactly sufficient to provide a perpetuity of $100 per year with the first payment due at the end of one year. Fund X will earn interest at an effective annual rate of 10% for the first 30 years and 6% thereafter. Fund Y will earn interest at a level effective annual rate of j. In which of the following ranges is j? someone help?
What equal series of payments must be paid into a sinking fund in order toaccumulate each given amount?(a) $1,700 in 10 years at 8% compounded semiannually when payments aresemiannual.(b) $9,000 in 6 years at 3% compounded quarterly when payments arc quarterly.(c) $4,000 in 2 years at 12% compounded monthly when payments are monthly.
3) Payments of $2500 made at the beginning of each semiannual period for 15 years at 4% compounded semiannually Find the amount of each payment to be made into a sinking fund so that enough will be present to accumulate the following amount. Payments are made at the end of each period. The interest rate given is per period. Please show all workings step by step

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