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 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?
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