📊 Bond PricingA bond's price is the present value of all future coupon payments plus the present value of its face value at maturity, discounted at the yield to maturity (YTM). When the coupon rate > YTM, the bond trades at a premium; when coupon rate < YTM, it trades at a discount.
📈 Yield & PriceBond prices and yields move inversely. As market interest rates rise, existing bond prices fall, and vice versa. Current yield = annual coupon / bond price, a quick measure of income return.
🔑 Key TermsFace Value: amount paid at maturity. Coupon Rate: annual interest paid. YTM: total return if held to maturity. Maturity: time until face value is returned.
💰 Trading InsightBonds with longer maturities are more sensitive to interest rate changes — called duration risk. A bond's price changes roughly (duration × rate change in %) for small movements.
Loan Calculator
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📊 AmortizationEach monthly payment splits into principal (amount borrowed) and interest (cost of borrowing). Early payments are mostly interest; later payments are mostly principal — this is called amortization.
📈 Interest CostA 1% lower rate can save thousands over a loan's life. For a $25,000 / 5-year loan: 6% pays ~$4,000 interest, 4% pays ~$2,600 — a 35% savings.
🔑 Key TermsAPR: annual cost including fees. Fixed Rate: interest stays constant. Variable Rate: can change over time. Term: total repayment period.
💰 Payoff StrategyMaking extra principal payments reduces total interest dramatically — even one extra payment per year can shave months off your loan term.
Interest Calculator
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📊 Simple vs CompoundSimple interest is calculated only on the principal: I = P × r × t. Compound interest earns returns on both principal and accumulated interest, creating exponential growth — Einstein called it the "eighth wonder of the world."
📈 Frequency MattersThe more frequently interest compounds, the faster your money grows. $10,000 at 5% over 10 years: annually = $16,289, monthly = $16,470, daily = $16,487. Time is the most powerful factor.
🔑 Rule of 72To estimate how long your money takes to double: divide 72 by the annual rate. At 6%, it takes ~12 years. At 10%, ~7.2 years. A quick mental math shortcut.
💰 Inflation ImpactReal return = nominal return - inflation. If you earn 5% but inflation is 3%, your real growth is only 2%. Always consider inflation when planning long-term savings.
Mortgage Calculator
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🏠 20% Down PaymentPutting down at least 20% eliminates Private Mortgage Insurance (PMI), saving hundreds per month. PMI typically costs 0.5–1% of the loan amount annually.
📈 Term ComparisonA 15-year mortgage has higher monthly payments but saves dramatically on total interest vs a 30-year mortgage. On $320,000 at 6.5%: 15yr pays ~$109K interest, 30yr pays ~$308K.
🔑 PITIYour full monthly payment = Principal + Interest + Taxes + Insurance. Don't forget property taxes and homeowners insurance — they can add 20-40% to your payment.
💰 Rate ShoppingComparing offers from 3-5 lenders can save you thousands. Even a 0.25% rate difference on a $320K loan amounts to ~$17,000 over 30 years.
Savings Calculator
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📊 The Power of ConsistencyRegular monthly contributions plus compound interest create powerful growth. Saving $500/month at 7% for 20 years grows to ~$260,000 — but total contributions are only $125,000. The rest is market growth.
📈 Start EarlyStarting 5 years earlier can double your final balance. A 25-year-old saving $300/month at 7% retires with ~$790K at 65. Starting at 35 yields only ~$365K — same monthly amount.
🔑 The Rule of 72Divide 72 by your annual return to estimate doubling time. At 7%, money doubles every ~10.3 years. Over 30 years, that's nearly 3 doublings.
💰 Tax-Advantaged AccountsUse 401(k), IRA, or Roth IRA to maximize growth. Tax-deferred or tax-free growth can add years of compounding value vs taxable accounts.
Credit Card Calculator
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📊 The Minimum Payment TrapPaying only the minimum can keep you in debt for decades. On a $5,000 balance at 22% with 2% minimum: it takes ~30 years and costs over $10,000 in interest.
📈 Daily CompoundingMost credit cards use daily compounding — they calculate interest on your balance every single day. This makes credit card debt the most expensive common form of borrowing.
🔑 Grace PeriodIf you pay your full statement balance by the due date, you get a grace period with zero interest on new purchases. This makes credit cards free to use when paid in full.
💰 Payoff StrategyEven small extra payments above the minimum make a huge difference. Doubling your minimum payment can cut payoff time by 80% and save thousands.
Debt Repayment Calculator
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📊 Avalanche MethodPay off debts with the highest interest rate first. This mathematically minimizes total interest paid. Best for disciplined savers who want the cheapest path to debt freedom.
📈 Snowball MethodPay off the smallest balance first regardless of rate. The psychological wins of eliminating debts early build momentum. Dave Ramsey's recommended approach — behavior over math.
🔑 Which Is Better?Avalanche saves more money; Snowball builds more motivation. Studies show Snowball has a higher completion rate. Pick the one you'll stick with — the best method is the one you actually follow.
💰 Debt SnowflakeAdd small extra payments whenever possible — a $20 windfall, side gig income, or skipped takeout. These "snowflakes" accelerate progress without feeling like a budget cut.
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