Parvati wants to donate enough money to Camosun College to fund an ongoing annual bursary of $1,000 to a deserving finance student. How much must she donate today in order for the first payment to to be given out right away? Assume an interest rate of jq=4%.
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- Your friend has a trust fund that will pay her the following amounts at the given interest rate for the given number of years. Calculate the current (present) value of your friends trust fund payments. For further instructions on present value in Excel, see Appendix C.Your grandfather wants to establish a scholarship in his father’s name at a local university and has stipulated that you will administer it. As you’ve committed to fund a $25,000 scholarship every year beginning one year from tomorrow, you’ll want to set aside the money for the scholarship immediately. At tomorrow’s meeting with your grandfather and the bank’s representative, How much will need to deposit? rounded to the nearest whole dollar) so that you can fund the scholarship forever, assuming that the account will earn 5.50% per annum every year. The bank representative just reported that he misquoted the available interest rate on the scholarship’s account. Your account should earn 3.50%. The amount of your required deposit should be revised to?Your daughter needs to be able to draw $50,000 a year from her college savings fund (you started from birth) to pay for college expenses to obtain a medical degree (assume she spends 4 years for bachelor, 4 years for med school, then additional 2 years as resident and yearly spending will be consistent from year to year). At start of her college career, she intends to invest her savings in government securities that should return 5.5% a year compuounded continuously. a. Obtain the equation for dP/dt and then find the genearl solution of P(t) with, as yet undetermined, initial value P_0. b. How large must your daughter's initial college savings be so that she can continue drawing her $50,000 income until she becomes a doctor?
- Your daughter is expected to the university next year. It is estimated that she will need 10,000 each year for the for years university education. You are planning to deposit a lump sum in an account that will yield 10% per anum to cater for her university education. How much should be deposited?Mr. and Mrs. Maglalang decide to set aside ₱ 500,000 today and place it on a bank savings account for their newborn daughter’s college education. How much will be available for college education when their daughter celebrates her debut, considering that They found an equity fund that offers an average interest rate of 6% compounded quarterly.Your grandfather wants to establish a scholarship in his father’s name at a local university and has stipulated that you will administer it. As you’ve committed to fund a $15,000 scholarship every year beginning one year from tomorrow, you’ll want to set aside the money for the scholarship immediately. At tomorrow’s meeting with your grandfather and the bank’s representative, you will need to deposit ___________ (rounded to the nearest whole dollar) so that you can fund the scholarship forever, assuming that the account will earn 4.50% per annum every year. Oops! The bank representative just reported that he misquoted the available interest rate on the scholarship’s account. Your account should earn 7.00%. The amount of your required deposit should be revised to____________. This suggests there is (an inverse / a direct) relationship between the interest rate earned on the account and the present value of the perpetuity.
- Clarissa wants to fund a growing perpetuity that will pay $10,000 per year to a local museum, starting next year. She wants the annual amount paid to the museum to gro by 5% per year. Given that the interest rate is 9%, how much does she need to fund this perpetuity?Your grandfather wants to establish a scholarship in his father’s name at a local university and has stipulated that you will administer it. As you’ve committed to fund a $10,000 scholarship every year beginning one year from tomorrow, you’ll want to set aside the money for the scholarship immediately. At tomorrow’s meeting with your grandfather and the bank’s representative, you will need to deposit$200,000 (rounded to the nearest whole dollar) so that you can fund the scholarship forever, assuming that the account will earn 6.00% per annum every year.Mrs. Maria Alading borrowed 20,000 pesos from her friend Ms. Petra Hausen to pay the tuition fee of her son. How much money will she pay Mrs. Hausen after a year, if an annual simple interest rate of 12 % is asked?
- Melissa agrees to contribute $500 to the alumni fund at the end of each year for the next 4 years. Shannon wants to match Melissa's gift, but he wants to make a lump-sum contribution. If the current interest rate is 4.5% compounded annually, how much should Shannon contribute to equal Melissa's gift? (Round your answer to the nearest cent.)$Allain Dupre wants to set up a scholarship fund for his school. The annual scholarship payment is to be $3,600 with the first such payment due four years after his deposit into the fund. If the fund pays 4.4%compounded annually , how much must Alain deposit?Mr. Crabapple wants to donate money now for an account that will allow a favored charity to make $17,000 withdrawals at the end of each of years 19 to 44. How much should he contribute today if investment managers Dogwood Associates expect to earn returns averaging 4.3% per year on the charity's foundation account? (This is a 26-year deferred annuity, with $17,000 to be paid out at the end of each of years 19 to 44.) A. $128,584.54 B. $115,644.17 C $263,040.12 D. $123,283.36 E. $156,230.80