"AST1CAL3 EQUATION VARIABLE |N 7 0N|","03-20-1993","22:10:26" "ODDS2IT%=RND(100*(1.019404016815819-1.627354234264328D-02*NEXTAGE^1+2.004747781974358D-03*NEXTAGE^2-1.193084931276532D-04*NEXTAGE^3+3.533962198024585D-06*NEXTAGE^4-5.476530680399317D-08*NEXTAGE^5+4.147718252510296D-10*NEXTAGE^6-1.206452519404373D-12*NEXTAGE^7)/(1.019404016815819-1.627354234264328D-02*AGE^1+2.004747781974358D-03*AGE^2-1.193084931276532D-04*AGE^3+3.533962198024585D-06*AGE^4-5.476530680399317D-08*AGE^5+4.147718252510296D-10*AGE^6-1.206452519404373D-12*AGE^7)) PLIV4=ODDS2IT%/100 NUMYEARS=NEXTAGE-AGE EXPECT$=RND(PLIV4*SUM$) FREQCONV=12/CMPERIOD NPERIODS=FREQCONV*NUMYEARS RATE%PER=ANNRATE%/FREQCONV EFFRATE%=RND(100*((1+RATE%PER/100)^FREQCONV-1)) PRESVALU=RND(EXPECT$*(1+RATE%PER/100)^-NPERIODS)" "PURE ENDOWMENT, STATISTICAL PROBABILITY. A pure endowmwnt is a promise to pay a fixed sum SUM$ to an individual at some future date provided he is alive to collect it. PLIV4 is the probability of receiving that SUM$ at NEXTAGE in years from the present AGE in years. If money earns a simple annual rate of ANNRATE% with a compounding period CMPERIOD in months, CMPERIOD= 1 for monthly, =3 for quarterly, =6 for semiannually, =12 for yearly, then PRESVALU is the present value of the expectation EXPECT$ in NUMYEARS from today. EFFRATE% is the effective or yearly rate percent for money. Based on 1941 CSO Mortality table. *** Answers to problems *** (c) Copyright PCSCC Inc., 1993 (a) Set AGE=9, ANNRATE%=7, CMPERIOD=12, NEXTAGE=65, SUM=1,000,000. The present value is PRESVALU=$13,398.31. Type any key to exit. ||Mrs. Murphy wants to establish a pure endowment of $1,000,000 for her daughter Melanie now age 9 payable if and when she attains the age of 65. (a) If money is worth 7% effective, find the present value. Type comma key to see answers. Type (F2) to return to helpfile." 14 0,0,"" 0,0,"" 0,0,"" 0,0,"" 0,0,"" 0,0,"" 0,0,"" 0,0,"" 0,0,"" 0,0,"" 0,0,"" 0,0,"" 0,0,"" 0,0,"" 1 0 0